- momentum_componentThe component of the momentum equation that this kernel applies to.
C++ Type:MooseEnum
Controllable:No
Description:The component of the momentum equation that this kernel applies to.
- rhie_chow_user_objectThe rhie-chow user-object
C++ Type:UserObjectName
Controllable:No
Description:The rhie-chow user-object
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
INSFVBodyForce
This object implements both the functionalities as FVBodyForce and FVCoupledForce but it's dedicated to use in the Navier-Stokes momentum equation.
A body force in the momentum equation can be a momentum source, like a pump, or a momentum sink, like a volumetric friction term. Friction terms may also be modeled with PINSFVMomentumFriction.
Example input syntax
In this example, the INSFVBodyForce is used to apply a forcing function to the momentum equation in a method of manufactured solution study.
[FVKernels<<<{"href": "../../syntax/FVKernels/index.html"}>>>]
[mass]
type = INSFVMassAdvection<<<{"description": "Object for advecting mass, e.g. rho", "href": "INSFVMassAdvection.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = pressure
advected_interp_method<<<{"description": "The interpolation to use for the advected quantity. Options are 'upwind', 'average', 'sou' (for second-order upwind), 'min_mod', 'vanLeer', 'quick', 'venkatakrishnan', and 'skewness-corrected' with the default being 'upwind'."}>>> = ${advected_interp_method}
velocity_interp_method<<<{"description": "The interpolation to use for the velocity. Options are 'average' and 'rc' which stands for Rhie-Chow. The default is Rhie-Chow."}>>> = ${velocity_interp_method}
rho<<<{"description": "Density functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = ${rho}
[]
[mass_forcing]
type = FVBodyForce<<<{"description": "Demonstrates the multiple ways that scalar values can be introduced into finite volume kernels, e.g. (controllable) constants, functions, and postprocessors.", "href": "FVBodyForce.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = pressure
function<<<{"description": "A function that describes the body force"}>>> = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection<<<{"description": "Object for advecting momentum, e.g. rho*u", "href": "INSFVMomentumAdvection.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = u
advected_interp_method<<<{"description": "The interpolation to use for the advected quantity. Options are 'upwind', 'average', 'sou' (for second-order upwind), 'min_mod', 'vanLeer', 'quick', 'venkatakrishnan', and 'skewness-corrected' with the default being 'upwind'."}>>> = ${advected_interp_method}
velocity_interp_method<<<{"description": "The interpolation to use for the velocity. Options are 'average' and 'rc' which stands for Rhie-Chow. The default is Rhie-Chow."}>>> = ${velocity_interp_method}
rho<<<{"description": "Density functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = ${rho}
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion<<<{"description": "Implements the Laplace form of the viscous stress in the Navier-Stokes equation.", "href": "INSFVMomentumDiffusion.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = u
mu<<<{"description": "The viscosity. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = ${mu}
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure<<<{"description": "Introduces the coupled pressure term into the Navier-Stokes momentum equation.", "href": "INSFVMomentumPressure.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = u
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'x'
pressure<<<{"description": "The pressure. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = pressure
[]
[u_forcing]
type = INSFVBodyForce<<<{"description": "Body force that contributes to the Rhie-Chow interpolation", "href": "INSFVBodyForce.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = u
functor<<<{"description": "A functor that describes the body force. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = forcing_u
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection<<<{"description": "Object for advecting momentum, e.g. rho*u", "href": "INSFVMomentumAdvection.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = v
advected_interp_method<<<{"description": "The interpolation to use for the advected quantity. Options are 'upwind', 'average', 'sou' (for second-order upwind), 'min_mod', 'vanLeer', 'quick', 'venkatakrishnan', and 'skewness-corrected' with the default being 'upwind'."}>>> = ${advected_interp_method}
velocity_interp_method<<<{"description": "The interpolation to use for the velocity. Options are 'average' and 'rc' which stands for Rhie-Chow. The default is Rhie-Chow."}>>> = ${velocity_interp_method}
rho<<<{"description": "Density functor. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = ${rho}
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion<<<{"description": "Implements the Laplace form of the viscous stress in the Navier-Stokes equation.", "href": "INSFVMomentumDiffusion.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = v
mu<<<{"description": "The viscosity. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = ${mu}
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure<<<{"description": "Introduces the coupled pressure term into the Navier-Stokes momentum equation.", "href": "INSFVMomentumPressure.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = v
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'y'
pressure<<<{"description": "The pressure. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = pressure
[]
[v_forcing]
type = INSFVBodyForce<<<{"description": "Body force that contributes to the Rhie-Chow interpolation", "href": "INSFVBodyForce.html"}>>>
variable<<<{"description": "The name of the variable that this residual object operates on"}>>> = v
functor<<<{"description": "A functor that describes the body force. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number."}>>> = forcing_v
momentum_component<<<{"description": "The component of the momentum equation that this kernel applies to."}>>> = 'y'
[]
[]Input Parameters
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- functor1A functor that describes the body force. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
Default:1
C++ Type:MooseFunctorName
Unit:(no unit assumed)
Controllable:No
Description:A functor that describes the body force. A functor is any of the following: a variable, a functor material property, a function, a postprocessor or a number.
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
- postprocessor1A postprocessor whose value is multiplied by the body force
Default:1
C++ Type:PostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:A postprocessor whose value is multiplied by the body force
- scaling_factor1Coefficient to multiply by the body force term
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:Yes
Description:Coefficient to multiply by the body force term
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- ghost_layers1The number of layers of elements to ghost.
Default:1
C++ Type:unsigned short
Controllable:No
Description:The number of layers of elements to ghost.
- use_point_neighborsFalseWhether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.
Default:False
C++ Type:bool
Controllable:No
Description:Whether to use point neighbors, which introduces additional ghosting to that used for simple face neighbors.
Parallel Ghosting Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/2d-rc-continuous.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/spacedependent_mu/snl.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-symmetry.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-no-slip-walls.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/2d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected-action.i)
- (modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/pwcnsfv.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/1d-rc-continuous.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion-strong-bc.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex-action.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average-with-temp.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_as_volume_force_loop_pressure_corrected.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-rz-symmetry.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_as_volume_force_loop_force_corrected.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/lid-mesh-velocity/1d-simplified.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/rc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/rotated/rotated-pp-flow.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/1d-average.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average-with-temp.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/plane-poiseuille-flow.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/spacedependent_mu/newton.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/cylindrical/2d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average.i)
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/2d-rc-continuous.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 8
ny = 8
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
porosity = porosity
pressure = pressure
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
[]
[]
[ICs]
[porosity_continuous]
type = FunctionIC
variable = porosity
function = smooth_jump
[]
[]
[GlobalParams]
porosity = porosity
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
pressure = pressure
porosity = porosity
momentum_component = 'y'
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[smooth_jump]
type = ParsedFunction
expression = '1 - 0.5 * 1 / (1 + exp(-30*(x-1))) - 0.01 * y'
[]
# Output from compute-functions-2d.py
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '15.0*mu*(-1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*exp(30 - 30*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2))*exp(30 - 30*x)/(exp(30 - 30*x) + 1)^2 + 0.01*mu*((1/2)*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 0.0002*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3) - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 15.0*pi*exp(30 - 30*x)*sin((1/2)*x*pi)*sin((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) - 450.0*exp(30 - 30*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 900.0*exp(60 - 60*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^3*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 450.0*exp(60 - 60*x)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/((exp(30 - 30*x) + 1)^4*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3)) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 15.0*rho*exp(30 - 30*x)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) - 1/4*pi*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '0.01*mu*(-1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 15.0*mu*((1/4)*pi*cos((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*exp(30 - 30*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2))*exp(30 - 30*x)/(exp(30 - 30*x) + 1)^2 - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 0.01*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 0.0002*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3) - mu*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*(-1/16*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 450.0*exp(30 - 30*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 7.5*pi*exp(30 - 30*x)*cos((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 900.0*exp(60 - 60*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^3*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + 450.0*exp(60 - 60*x)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^4*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^3)) - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1)) + 0.01*rho*sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2/(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2 + 15.0*rho*exp(30 - 30*x)*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/((exp(30 - 30*x) + 1)^2*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))^2) + (3/2)*pi*(-0.01*y + 1 - 0.5/(exp(30 - 30*x) + 1))*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/spacedependent_mu/snl.i)
rho = 1.0
advected_interp_method = 'average'
velocity_interp_method = 'rc'
pressure_tag = "pressure_grad"
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
[]
[]
[Problem]
nl_sys_names = 'u_system v_system pressure_system'
previous_nl_solution_required = true
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolatorSegregated
u = vel_x
v = vel_y
pressure = pressure
[]
[]
[Variables]
[vel_x]
type = INSFVVelocityVariable
initial_condition = 1.0
solver_sys = u_system
two_term_boundary_expansion = false
[]
[vel_y]
type = INSFVVelocityVariable
initial_condition = 1.0
solver_sys = v_system
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
solver_sys = pressure_system
initial_condition = 0.0
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[u_advection]
type = INSFVMomentumAdvection
variable = vel_x
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = vel_x
mu = 'mu'
momentum_component = 'x'
complete_expansion = false
u = vel_x
v = vel_y
[]
[u_pressure]
type = INSFVMomentumPressure
variable = vel_x
momentum_component = 'x'
pressure = pressure
extra_vector_tags = ${pressure_tag}
[]
[u_forcing]
type = INSFVBodyForce
variable = vel_x
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = vel_y
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = vel_y
mu = 'mu'
momentum_component = 'y'
complete_expansion = false
u = vel_x
v = vel_y
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
extra_vector_tags = ${pressure_tag}
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
[]
[p_diffusion]
type = FVAnisotropicDiffusion
variable = pressure
coeff = "Ainv"
coeff_interp_method = 'average'
[]
[p_source]
type = FVDivergence
variable = pressure
vector_field = "HbyA"
force_boundary_execution = true
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_x
function = '0'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_y
function = '0'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)'
[]
[mu]
type = ParsedFunction
expression = '1+(x-1)*x*(y-1)*y'
[]
[forcing_u]
type = ParsedFunction
expression = '-(2*x-1)*y*(y-1)*(2*x-6*x^2+4*x^3)*(2*y-6*y^2+4*y^3)'
'-(1+x*(x-1)*y*(y-1))*(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2)'
'-(2*y-1)*x*(x-1)*(x^2*(1-x)^2*(2-12*y+12*y^2))'
'-(1+x*(x-1)*y*(y-1))*(x^2*(1-x)^2*(-12+24*y))'
'+1-2*x+rho*4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(2*y-1)*x*(x-1)*(2*y-6*y^2+4*y^3)*(2*x-6*x^2+4*x^3)'
'+(1+x*(x-1)*y*(y-1))*(2-12*y+12*y^2)*(2*x-6*x^2+4*x^3)'
'+(2*x-1)*y*(y-1)*(y^2*(1-y)^2*(2-12*x+12*x^2))'
'+(1+x*(x-1)*y*(y-1))*(y^2*(1-y)^2*(-12+24*x))'
'+rho*4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u_deviatoric]
type = ParsedFunction
expression = '-2*(2*x-1)*y*(y-1)*(2*x-6*x^2+4*x^3)*(2*y-6*y^2+4*y^3)'
'-2*(1+x*(x-1)*y*(y-1))*(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2)'
'-(2*y-1)*x*(x-1)*(x^2*(1-x)^2*(2-12*y+12*y^2)-y^2*(1-y)^2*(2-12*x+12*x^2))'
'-(1+x*(x-1)*y*(y-1))*(x^2*(1-x)^2*(-12+24*y)-(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2))'
'+1-2*x+rho*4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v_deviatoric]
type = ParsedFunction
expression = '2*(2*y-1)*x*(x-1)*(2*y-6*y^2+4*y^3)*(2*x-6*x^2+4*x^3)'
'+2*(1+x*(x-1)*y*(y-1))*(2-12*y+12*y^2)*(2*x-6*x^2+4*x^3)'
'-(2*x-1)*y*(y-1)*(x^2*(1-x)^2*(2-12*y+12*y^2)-y^2*(1-y)^2*(2-12*x+12*x^2))'
'-(1+x*(x-1)*y*(y-1))*(-y^2*(1-y)^2*(-12+24*x)+(2*x-6*x^2+4*x^3)*(2-12*y+12*y^2))'
'+rho*4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = SIMPLENonlinearAssembly
rhie_chow_user_object = 'rc'
momentum_systems = 'u_system v_system'
pressure_system = 'pressure_system'
pressure_gradient_tag = ${pressure_tag}
momentum_equation_relaxation = 0.8
pressure_variable_relaxation = 0.3
num_iterations = 2000
pressure_absolute_tolerance = 1e-8
momentum_absolute_tolerance = 1e-8
momentum_petsc_options_iname = '-pc_type -pc_hypre_type'
momentum_petsc_options_value = 'hypre boomeramg'
pressure_petsc_options_iname = '-pc_type -pc_hypre_type'
pressure_petsc_options_value = 'hypre boomeramg'
momentum_l_abs_tol = 1e-14
pressure_l_abs_tol = 1e-14
momentum_l_max_its = 30
pressure_l_max_its = 30
momentum_l_tol = 0.0
pressure_l_tol = 0.0
print_fields = false
pin_pressure = true
pressure_pin_value = 0.25
pressure_pin_point = '0.5 0.5 0.0'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-symmetry.i)
mu=1.1
rho=1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
two_term_boundary_expansion = true
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[v]
type = INSFVVelocityVariable
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[u]
type = FunctionIC
function = 'exact_u'
variable = u
[]
[v]
type = FunctionIC
function = 'exact_v'
variable = v
[]
[pressure]
type = FunctionIC
function = 'exact_p'
variable = pressure
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_wall]
type = INSFVNoSlipWallBC
variable = u
boundary = 'right'
function = 'exact_u'
[]
[v_wall]
type = INSFVNoSlipWallBC
variable = v
boundary = 'right'
function = 'exact_v'
[]
[u_axis]
type = INSFVSymmetryVelocityBC
variable = u
boundary = 'left'
mu = ${mu}
u = u
v = v
momentum_component = 'x'
[]
[v_axis]
type = INSFVSymmetryVelocityBC
variable = v
boundary = 'left'
mu = ${mu}
u = u
v = v
momentum_component = 'y'
[]
[p_axis]
type = INSFVSymmetryPressureBC
variable = pressure
boundary = 'left'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
functor = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
functor = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)*cos(y*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '2*pi^2*mu*sin(x*pi)*cos(y*pi) - 2*pi*rho*sin(x*pi)*sin(y*pi)*cos(1.3*x)*cos(y*pi) + 2*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi)^2 - 1.5*sin(1.5*x)*cos(1.6*y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(1.3*x)*cos(y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '1.69*mu*cos(1.3*x)*cos(y*pi) + pi^2*mu*cos(1.3*x)*cos(y*pi) - 1.3*rho*sin(1.3*x)*sin(x*pi)*cos(y*pi)^2 - 2*pi*rho*sin(y*pi)*cos(1.3*x)^2*cos(y*pi) + pi*rho*cos(1.3*x)*cos(x*pi)*cos(y*pi)^2 - 1.6*sin(1.6*y)*cos(1.5*x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(1.5*x)*cos(1.6*y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(1.3*x) + pi*rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-no-slip-walls.i)
mu=1.1
rho=1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
two_term_boundary_expansion = true
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[v]
type = INSFVVelocityVariable
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[u]
type = FunctionIC
function = 'exact_u'
variable = u
[]
[v]
type = FunctionIC
function = 'exact_v'
variable = v
[]
[pressure]
type = FunctionIC
function = 'exact_p'
variable = pressure
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_walls]
type = INSFVNoSlipWallBC
variable = u
boundary = 'left right'
function = 'exact_u'
[]
[v_walls]
type = INSFVNoSlipWallBC
variable = v
boundary = 'left right'
function = 'exact_v'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
functor = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
functor = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)*cos(y*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '2*pi^2*mu*sin(x*pi)*cos(y*pi) - 2*pi*rho*sin(x*pi)*sin(y*pi)*cos(1.3*x)*cos(y*pi) + 2*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi)^2 + 1.5*cos(1.5*x)*cos(1.6*y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(1.3*x)*cos(y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '1.69*mu*cos(1.3*x)*cos(y*pi) + pi^2*mu*cos(1.3*x)*cos(y*pi) - 1.3*rho*sin(1.3*x)*sin(x*pi)*cos(y*pi)^2 - 2*pi*rho*sin(y*pi)*cos(1.3*x)^2*cos(y*pi) + pi*rho*cos(1.3*x)*cos(x*pi)*cos(y*pi)^2 - 1.6*sin(1.5*x)*sin(1.6*y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(1.5*x)*cos(1.6*y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(1.3*x) + pi*rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-rc.i)
mu=1.1
rho=1.1
advected_interp_method='average'
velocity_interp_method='rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
functor = 'exact_v'
[]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = v
function = 'exact_v'
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'top'
variable = pressure
function = 'exact_p'
[]
[axis-u]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = x
[]
[axis-v]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) - pi*sin(x*pi)*cos((1/2)*y*pi) + (4*x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2*cos(x*pi) + rho*sin(x*pi)^4*sin((1/2)*y*pi)^2)/x + (-x*pi*rho*sin(x*pi)^2*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*rho*sin(x*pi)^2*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x - (-2*x*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) + 2*x*pi^2*mu*sin((1/2)*y*pi)*cos(x*pi)^2 + 2*pi*mu*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1/2*pi*sin((1/2)*y*pi)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)*cos(y*pi) + 2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi)^2*cos(y*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 200 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/2d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 8
ny = 8
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[GlobalParams]
porosity = porosity
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
porosity = porosity
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '0.5*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - 0.625*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + 0.625*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - 1.25*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - 0.2*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = '0.3125*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - 1.25*pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 0.625*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + 0.3125*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + 1.2*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected-action.i)
mu = 1.1
rho = 1.1
darcy = 1.1
forch = 1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[AuxVariables]
[eps_out]
type = MooseVariableFVReal
[]
[eps_smoothed_out]
type = MooseVariableFVReal
[]
[]
[AuxKernels]
[eps_out]
type = FunctorAux
variable = eps_out
functor = porosity
execute_on = 'timestep_end'
[]
[eps_smoothed_out]
type = FunctorAux
variable = eps_smoothed_out
functor = smoothed_porosity
[]
[]
[Physics]
[NavierStokes]
[Flow]
[flow]
compressibility = 'incompressible'
porous_medium_treatment = true
porosity = porosity
porosity_smoothing_layers = 2
friction_types = 'darcy forchheimer'
friction_coeffs = 'Darcy_coefficient Forchheimer_coefficient'
use_friction_correction = true
consistent_scaling = 1.0
density = 'rho'
dynamic_viscosity = 'mu'
initial_velocity = '1 1 0'
initial_pressure = 0.0
inlet_boundaries = 'left top bottom'
momentum_inlet_types = 'fixed-velocity fixed-velocity fixed-velocity'
momentum_inlet_functors = 'exact_u exact_v; exact_u exact_v; exact_u exact_v'
outlet_boundaries = 'right'
momentum_outlet_types = 'fixed-pressure'
pressure_functors = 'exact_p'
mass_advection_interpolation = 'average'
momentum_advection_interpolation = 'average'
[]
[]
[]
[]
[FVKernels]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_forcing]
type = INSFVBodyForce
variable = superficial_vel_x
functor = forcing_u
momentum_component = 'x'
rhie_chow_user_object = 'pins_rhie_chow_interpolator'
[]
[v_forcing]
type = INSFVBodyForce
variable = superficial_vel_y
functor = forcing_v
momentum_component = 'y'
rhie_chow_user_object = 'pins_rhie_chow_interpolator'
[]
[]
[FunctorMaterials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '${darcy} ${darcy} ${darcy} ${forch} ${forch} ${forch}'
[]
[constants]
type = ADGenericFunctorMaterial
prop_names = 'rho mu'
prop_values = '${rho} ${mu}'
[]
[]
[Functions]
[porosity]
type = ParsedFunction
expression = '.5 + .1 * sin(pi * x / 4) * cos(pi * y / 4)'
[]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'darcy*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.1*pi^2*sin((1/4)*x*pi)*sin((1/4)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.1*pi^2*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/2)*y*pi)*cos((1/4)*x*pi)^2*cos((1/2)*x*pi)*cos((1/4)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/2)*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/2)*y*pi)^2*cos((1/4)*x*pi)*cos((1/2)*x*pi)^2*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/4*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'darcy*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-0.1*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.05*pi^2*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/16*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/4)*x*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/4)*pi*cos((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)*cos((1/2)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (3/2)*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = superficial_vel_x
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = superficial_vel_y
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/cns/mms/1d-with-bcs/pwcnsfv.i)
rho='rho'
advected_interp_method='upwind'
velocity_interp_method='rc'
gamma=1.4
R=8.3145
molar_mass=29.0e-3
R_specific=${fparse R/molar_mass}
cp=${fparse gamma*R_specific/(gamma-1)}
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = sup_vel_x
pressure = pressure
porosity = porosity
[]
[]
[Mesh]
[cartesian]
type = GeneratedMeshGenerator
dim = 1
xmin = .1
xmax = .6
nx = 2
[]
[]
[FluidProperties]
[fp]
type = IdealGasFluidProperties
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[pressure]
type = INSFVPressureVariable
[]
[sup_vel_x]
type = PINSFVSuperficialVelocityVariable
[]
[]
[AuxVariables]
[porosity]
type = MooseVariableFVReal
[]
[T_fluid]
type = INSFVEnergyVariable
[]
[]
[ICs]
[pressure]
type = FunctionIC
variable = pressure
function = 'exact_p'
[]
[sup_vel_x]
type = FunctionIC
variable = sup_vel_x
function = 'exact_sup_vel_x'
[]
[T_fluid]
type = FunctionIC
variable = T_fluid
function = 'exact_T'
[]
[eps]
type = FunctionIC
variable = porosity
function = 'eps'
[]
[]
[FVKernels]
[mass_advection]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_fn]
type = FVBodyForce
variable = pressure
function = 'forcing_rho'
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = sup_vel_x
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = sup_vel_x
pressure = pressure
porosity = porosity
momentum_component = 'x'
force_boundary_execution = false
[]
[momentum_fn]
type = INSFVBodyForce
variable = sup_vel_x
functor = 'forcing_rho_ud'
momentum_component = 'x'
[]
[]
[FVBCs]
[mass]
variable = pressure
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = sup_vel_x
pressure = pressure
eqn = 'mass'
porosity = porosity
[]
[momentum]
variable = sup_vel_x
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = sup_vel_x
pressure = pressure
eqn = 'momentum'
momentum_component = 'x'
porosity = porosity
[]
# help gradient reconstruction *and* create Dirichlet values for use in PINSFVFunctorBC
[pressure_right]
type = FVFunctionDirichletBC
variable = pressure
function = exact_p
boundary = 'right'
[]
[sup_vel_x_left]
type = FVFunctionDirichletBC
variable = sup_vel_x
function = exact_sup_vel_x
boundary = 'left'
[]
[T_fluid_left]
type = FVFunctionDirichletBC
variable = T_fluid
function = exact_T
boundary = 'left'
[]
[]
[FunctorMaterials]
[const_functor]
type = ADGenericFunctorMaterial
prop_names = 'cp'
prop_values = '${cp}'
[]
[rho]
type = RhoFromPTFunctorMaterial
fp = fp
temperature = T_fluid
pressure = pressure
[]
[ins_fv]
type = INSFVEnthalpyFunctorMaterial
temperature = T_fluid
rho = ${rho}
[]
[]
[Functions]
[forcing_rho]
type = ParsedFunction
expression = '-3.45300378856215*sin(1.1*x)'
[]
[forcing_rho_ud]
type = ParsedFunction
expression = '-0.9*(10.6975765229419*cos(1.2*x)/cos(x) - 0.697576522941849*cos(1.1*x)^2/cos(x)^2)*sin(x) + 0.9*(10.6975765229419*sin(x)*cos(1.2*x)/cos(x)^2 - 1.3951530458837*sin(x)*cos(1.1*x)^2/cos(x)^3 + 1.53466835047207*sin(1.1*x)*cos(1.1*x)/cos(x)^2 - 12.8370918275302*sin(1.2*x)/cos(x))*cos(x) + 3.13909435323832*sin(x)*cos(1.1*x)^2/cos(x)^2 - 6.9060075771243*sin(1.1*x)*cos(1.1*x)/cos(x)'
[]
[exact_T]
type = ParsedFunction
expression = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_p]
type = ParsedFunction
expression = '3.48788261470924*(3.06706896551724*cos(1.2*x)/cos(x) - 0.2*cos(1.1*x)^2/cos(x)^2)*cos(x)'
[]
[exact_sup_vel_x]
type = ParsedFunction
expression = '0.9*cos(1.1*x)/cos(x)'
[]
[eps]
type = ParsedFunction
expression = '0.9'
[]
[]
[Executioner]
solve_type = NEWTON
type = Transient
num_steps = 1
dtmin = 1
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
nl_max_its = 50
line_search = bt
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = true
csv = true
[]
[Debug]
show_var_residual_norms = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2pressure]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_vel_x]
approximate = sup_vel_x
exact = exact_sup_vel_x
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/1d-rc-continuous.i)
mu = 1.5
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[mesh]
type = CartesianMeshGenerator
dim = 1
dx = '1 1'
ix = '15 15'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
porosity = porosity
pressure = pressure
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
[]
[]
[ICs]
[porosity_continuous]
type = FunctionIC
variable = porosity
function = smooth_jump
[]
[]
[Functions]
[smooth_jump]
type = ParsedFunction
expression = '1 - 0.5 * 1 / (1 + exp(-30*(x-1)))'
[]
# Generated by compute-functions-1d.py
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '-mu*(1 - 0.5/(exp(30 - 30*x) + 1))*(-1/4*pi^2*cos((1/2)*x*pi)/(1 - 0.5/(exp(30 - 30*x) + 1)) - 15.0*pi*exp(30 - 30*x)*sin((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2) - 450.0*exp(30 - 30*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2) + 900.0*exp(60 - 60*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^3) + 450.0*exp(60 - 60*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^3*(exp(30 - 30*x) + 1)^4)) + 15.0*mu*(-1/2*pi*sin((1/2)*x*pi)/(1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*exp(30 - 30*x)*cos((1/2)*x*pi)/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2))*exp(30 - 30*x)/(exp(30 - 30*x) + 1)^2 - pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi)/(1 - 0.5/(exp(30 - 30*x) + 1)) + 15.0*rho*exp(30 - 30*x)*cos((1/2)*x*pi)^2/((1 - 0.5/(exp(30 - 30*x) + 1))^2*(exp(30 - 30*x) + 1)^2) + (1 - 0.5/(exp(30 - 30*x) + 1))*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 200 lu NONZERO'
line_search = 'none'
# ksp_gmres_restart bumped to 200 for linear convergence
nl_max_its = 100
[]
[Postprocessors]
[inlet_p]
type = SideAverageValue
variable = 'pressure'
boundary = 'left'
[]
[outlet-u]
type = SideIntegralVariablePostprocessor
variable = u
boundary = 'right'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion-strong-bc.i)
mu=1e-15
rho=1.1
advected_interp_method='upwind'
velocity_interp_method='rc'
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmax = 0.5
[]
[]
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = .1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '-1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
force_boundary_execution = false
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[mass]
variable = pressure
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = u
pressure = pressure
eqn = 'mass'
porosity = porosity
[]
[momentum]
variable = u
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = u
pressure = pressure
eqn = 'momentum'
momentum_component = 'x'
porosity = porosity
[]
[inlet-u]
type = FVFunctionDirichletBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[outlet_p]
type = FVFunctionDirichletBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[FunctorMaterials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'rho'
prop_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'bt'
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[Mesh]
[mesh]
type = CartesianMeshGenerator
dim = 1
dx = '1 1'
ix = '5 5'
subdomain_id = '1 2'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '0.25*pi^2*mu*cos((1/2)*x*pi) - 1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Postprocessors]
[inlet_p]
type = SideAverageValue
variable = 'pressure'
boundary = 'left'
[]
[outlet-u]
type = SideIntegralVariablePostprocessor
variable = u
boundary = 'right'
[]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex-action.i)
mu = 1.0
rho = 1.0
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
[]
[Modules]
[NavierStokesFV]
compressibility = 'incompressible'
density = 'rho'
dynamic_viscosity = 'mu'
wall_boundaries = 'top left right bottom'
momentum_wall_types = 'noslip noslip noslip noslip'
initial_velocity = 'exact_u exact_v 0'
initial_pressure = 0
pin_pressure = true
pinned_pressure_type = average
pinned_pressure_value = 0
momentum_face_interpolation = skewness-corrected
pressure_face_interpolation = skewness-corrected
momentum_advection_interpolation = skewness-corrected
mass_advection_interpolation = skewness-corrected
[]
[]
[FVKernels]
[u_forcing]
type = INSFVBodyForce
variable = vel_x
functor = forcing_u
momentum_component = 'x'
rhie_chow_user_object = 'ins_rhie_chow_interpolator'
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
rhie_chow_user_object = 'ins_rhie_chow_interpolator'
[]
[]
[FunctorMaterials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'rho mu'
prop_values = '${rho} ${mu}'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ParsedFunction
expression = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3'
'*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2'
'*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-8
[]
[Outputs]
[out]
type = Exodus
hide = lambda
[]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = vel_x
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = vel_y
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average-with-temp.i)
mu = 1.1
rho = 1.1
k = 1.1
cp = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[temperature]
type = INSFVEnergyVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[temp_conduction]
type = FVDiffusion
coeff = 'k'
variable = temperature
[]
[temp_advection]
type = INSFVEnergyAdvection
variable = temperature
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
[]
[temp_forcing]
type = FVBodyForce
variable = temperature
function = forcing_t
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[inlet-and-walls-t]
type = FVFunctionDirichletBC
boundary = 'left top bottom'
variable = temperature
function = 'exact_t'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[FunctorMaterials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'k cp'
prop_values = '${k} ${cp}'
[]
[ins_fv]
type = INSFVEnthalpyFunctorMaterial
temperature = 'temperature'
rho = ${rho}
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[exact_t]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_t]
type = ParsedFunction
expression = '-pi*cp*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*cp*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*cp*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(5/16)*pi^2*k*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'k rho cp'
symbol_values = '${k} ${rho} ${cp}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2t]
variable = temperature
function = exact_t
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_as_volume_force_loop_pressure_corrected.i)
mu = 1.0
rho = 1.0
[Mesh]
[gen]
type = CartesianMeshGenerator
dim = 2
dx = '0.1 0.8 0.1'
dy = '0.1 0.8 0.1'
ix = '5 20 5'
iy = '5 20 5'
subdomain_id = '1 1 1
1 2 1
1 1 1'
[]
[delete_internal_part]
type = BlockDeletionGenerator
input = gen
block = '2'
new_boundary = 'wall-internal'
[]
[lump_bdries_to_wall]
type = RenameBoundaryGenerator
input = delete_internal_part
old_boundary = 'bottom right top left'
new_boundary = 'wall-external wall-external wall-external wall-external'
[]
[pump_domain]
type = ParsedSubdomainMeshGenerator
input = lump_bdries_to_wall
combinatorial_geometry = 'x > 0.3 & x < 0.7 & y > 0.5'
block_id = '3'
[]
[rename_blocks]
type = RenameBlockGenerator
input = pump_domain
old_block = '1 3'
new_block = 'pipe pump'
[]
[side_pump]
type = ParsedGenerateSideset
input = rename_blocks
included_subdomains = 'pump'
included_neighbors = 'pipe'
new_sideset_name = 'pump_side'
normal = '1 0 0'
combinatorial_geometry = 'x > 0.35'
[]
[]
[GlobalParams]
velocity_interp_method = 'rc'
advected_interp_method = 'upwind'
rhie_chow_user_object = 'rc'
[]
[Problem]
material_coverage_check = False
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = vel_x
v = vel_y
pressure = pressure
correct_volumetric_force = true
volumetric_force_functors = 'pump_force'
volume_force_correction_method = 'pressure-consistent'
[]
[]
[Variables]
[vel_x]
type = INSFVVelocityVariable
initial_condition = 1
[]
[vel_y]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[AuxVariables]
[U]
order = CONSTANT
family = MONOMIAL
fv = true
[]
[]
[AuxKernels]
[mag]
type = VectorMagnitudeAux
variable = U
x = vel_x
y = vel_y
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
phi0 = 0.0
[]
[u_advection]
type = INSFVMomentumAdvection
variable = vel_x
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = vel_x
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = vel_x
momentum_component = 'x'
pressure = pressure
[]
[u_pump]
type = INSFVBodyForce
variable = vel_x
momentum_component = 'x'
functor = 'pump_force'
block = 'pump'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = vel_y
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = vel_y
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
[]
[]
[FVBCs]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'wall-internal wall-external'
variable = vel_x
function = '0'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'wall-internal wall-external'
variable = vel_y
function = '0'
[]
[]
[FunctorMaterials]
[pump_force]
type = PiecewiseByBlockFunctorMaterial
prop_name = 'pump_force'
subdomain_to_prop_value = 'pump 1000.0
pipe 0.0'
[]
[]
[Postprocessors]
[flow_rate]
type = Receiver
default = 1.0
[]
[flow_rate_to_pipe]
type = VolumetricFlowRate
advected_quantity = ${rho}
boundary = 'pump_side'
vel_x = 'vel_x'
vel_y = 'vel_y'
[]
[maximum_speed]
type = ADElementExtremeFunctorValue
functor = vel_x
value_type = max
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = false
[out]
type = CSV
execute_on = FINAL
show = 'flow_rate_to_pipe maximum_speed'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/cartesian-version/2d-rc-rz-symmetry.i)
mu=1.1
rho=1.1
offset=0e0
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = ${offset}
xmax = ${fparse 1 + offset}
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
coord_type = 'RZ'
[]
[Problem]
fv_bcs_integrity_check = false
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
two_term_boundary_expansion = true
advected_interp_method = 'average'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[v]
type = INSFVVelocityVariable
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[u]
type = FunctionIC
function = 'exact_u'
variable = u
[]
[v]
type = FunctionIC
function = 'exact_v'
variable = v
[]
[pressure]
type = FunctionIC
function = 'exact_p'
variable = pressure
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_wall]
type = INSFVNoSlipWallBC
variable = u
boundary = 'right'
function = 'exact_u'
[]
[v_wall]
type = INSFVNoSlipWallBC
variable = v
boundary = 'right'
function = 'exact_v'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
functor = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
functor = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*cos(y*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'pi^2*mu*sin(x*pi)^2*cos(y*pi) - 2*pi*rho*sin(x*pi)^2*sin(y*pi)*cos(x*pi)*cos(y*pi) - pi*sin(x*pi)*cos(1.6*y) + (4*x*pi*rho*sin(x*pi)^3*cos(x*pi)*cos(y*pi)^2 + rho*sin(x*pi)^4*cos(y*pi)^2)/x - (-2*x*pi^2*mu*sin(x*pi)^2*cos(y*pi) + 2*x*pi^2*mu*cos(x*pi)^2*cos(y*pi) + 2*pi*mu*sin(x*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1.6*sin(1.6*y)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*cos(y*pi)^2 + 2*x*pi*rho*sin(x*pi)*cos(x*pi)^2*cos(y*pi)^2 + rho*sin(x*pi)^2*cos(x*pi)*cos(y*pi)^2)/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(1.6*y)*cos(x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi) + rho*sin(x*pi)^2*cos(y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-12
nl_abs_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion.i)
mu = 1e-15
rho = 1.1
advected_interp_method = 'upwind'
velocity_interp_method = 'rc'
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmax = 0.5
[]
[]
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = .1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = '-1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'bt'
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
csv = true
[]
(modules/navier_stokes/test/tests/finite_volume/ins/pump/pump_as_volume_force_loop_force_corrected.i)
mu = 1.0
rho = 1.0
[Mesh]
[gen]
type = CartesianMeshGenerator
dim = 2
dx = '0.1 0.8 0.1'
dy = '0.1 0.8 0.1'
ix = '5 20 5'
iy = '5 20 5'
subdomain_id = '1 1 1
1 2 1
1 1 1'
[]
[delete_internal_part]
type = BlockDeletionGenerator
input = gen
block = '2'
new_boundary = 'wall-internal'
[]
[lump_bdries_to_wall]
type = RenameBoundaryGenerator
input = delete_internal_part
old_boundary = 'bottom right top left'
new_boundary = 'wall-external wall-external wall-external wall-external'
[]
[pump_domain]
type = ParsedSubdomainMeshGenerator
input = lump_bdries_to_wall
combinatorial_geometry = 'x > 0.3 & x < 0.7 & y > 0.5'
block_id = '3'
[]
[rename_blocks]
type = RenameBlockGenerator
input = pump_domain
old_block = '1 3'
new_block = 'pipe pump'
[]
[side_pump]
type = ParsedGenerateSideset
input = rename_blocks
included_subdomains = 'pump'
included_neighbors = 'pipe'
new_sideset_name = 'pump_side'
normal = '1 0 0'
combinatorial_geometry = 'x > 0.35'
[]
[]
[GlobalParams]
velocity_interp_method = 'rc'
advected_interp_method = 'upwind'
rhie_chow_user_object = 'rc'
[]
[Problem]
material_coverage_check = False
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = vel_x
v = vel_y
pressure = pressure
correct_volumetric_force = true
volumetric_force_functors = 'pump_force'
volume_force_correction_method = 'force-consistent'
[]
[]
[Variables]
[vel_x]
type = INSFVVelocityVariable
initial_condition = 1
[]
[vel_y]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[AuxVariables]
[U]
order = CONSTANT
family = MONOMIAL
fv = true
[]
[]
[AuxKernels]
[mag]
type = VectorMagnitudeAux
variable = U
x = vel_x
y = vel_y
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
rho = ${rho}
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
phi0 = 0.0
[]
[u_advection]
type = INSFVMomentumAdvection
variable = vel_x
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = vel_x
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = vel_x
momentum_component = 'x'
pressure = pressure
[]
[u_pump]
type = INSFVBodyForce
variable = vel_x
momentum_component = 'x'
functor = 'pump_force'
block = 'pump'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = vel_y
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = vel_y
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
[]
[]
[FVBCs]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'wall-internal wall-external'
variable = vel_x
function = '0'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'wall-internal wall-external'
variable = vel_y
function = '0'
[]
[]
[FunctorMaterials]
[pump_force]
type = PiecewiseByBlockFunctorMaterial
prop_name = 'pump_force'
subdomain_to_prop_value = 'pump 1000.0
pipe 0.0'
[]
[]
[Postprocessors]
[flow_rate]
type = Receiver
default = 1.0
[]
[flow_rate_to_pipe]
type = VolumetricFlowRate
advected_quantity = ${rho}
boundary = 'pump_side'
vel_x = 'vel_x'
vel_y = 'vel_y'
[]
[maximum_speed]
type = ADElementExtremeFunctorValue
functor = vel_x
value_type = max
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = false
[out]
type = CSV
execute_on = FINAL
show = 'flow_rate_to_pipe maximum_speed'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/lid-mesh-velocity/1d-simplified.i)
mu=1.1
rho=1.1
[GlobalParams]
rhie_chow_user_object = 'rc'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
pressure = pressure
disp_x = disp_x
use_displaced_mesh = true
[]
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
xmin = -1
xmax = 1
nx = 2
[]
displacements = 'disp_x'
[]
[Variables]
[u]
type = INSFVVelocityVariable
[]
[]
[AuxVariables]
[disp_x][]
[pressure]
type = INSFVPressureVariable
[]
[]
[ICs]
[pressure]
type = FunctionIC
function = 'x^3'
variable = pressure
[]
[]
[AuxKernels]
[disp_x]
type = FunctionAux
function = exact_disp_x
variable = disp_x
execute_on = 'initial timestep_begin'
[]
[]
[FVKernels]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = 'average'
rho = ${rho}
momentum_component = 'x'
use_displaced_mesh = true
boundaries_to_force = 'left right'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
use_displaced_mesh = true
[]
[u_mesh_advection]
type = INSFVMomentumMeshAdvection
variable = u
rho = ${rho}
momentum_component = 'x'
disp_x = disp_x
use_displaced_mesh = true
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
use_displaced_mesh = true
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right'
variable = u
function = 'exact_u'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'cos(x)'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*cos(x) - rho*(-2*x/(2*t + 1) + cos(x))*sin(x) + rho*(-sin(x) - 2/(2*t + 1))*cos(x) + 2*rho*cos(x)/(2*t + 1)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_disp_x]
type = ParsedFunction
expression = '2*x*t'
[]
[]
[Executioner]
type = Transient
num_steps = 1
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
dt = 0.5
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
exodus = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
use_displaced_mesh = true
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
use_displaced_mesh = true
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/rc.i)
mu=1.1
rho=1.1
[GlobalParams]
two_term_boundary_expansion = false
rhie_chow_user_object = 'rc'
velocity_interp_method = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = -1
xmax = 1
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[Problem]
fv_bcs_integrity_check = false
error_on_jacobian_nonzero_reallocation = true
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'average'
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = 'average'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = 'average'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = v
function = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(y)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(y)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*sin(y)*cos((1/2)*x*pi) + (1/4)*pi^2*mu*sin(y)*cos((1/2)*x*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*y*pi)*cos((1/2)*x*pi) + rho*sin(x)*cos(y)*cos((1/2)*x*pi)*cos((1/2)*y*pi) - pi*rho*sin(y)^2*sin((1/2)*x*pi)*cos((1/2)*x*pi) + sin(y)*cos(x)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin(x)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin(x)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'mu*sin(x)*cos((1/2)*y*pi) + (1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 1/2*pi*rho*sin(x)*sin(y)*sin((1/2)*x*pi)*cos((1/2)*y*pi) + rho*sin(y)*cos(x)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + sin(x)*cos(y)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(x)*sin(y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin(x)*sin((1/2)*y*pi) - 1/2*pi*rho*sin(y)*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_package -mat_mumps_icntl_14'
petsc_options_value = 'lu NONZERO mumps 300'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
approximate = v
exact = exact_v
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex.i)
mu = 1.0
rho = 1.0
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
coord_type = 'XYZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = vel_x
v = vel_y
pressure = pressure
[]
[]
[Variables]
[vel_x]
type = INSFVVelocityVariable
initial_condition = 1
face_interp_method = 'skewness-corrected'
[]
[vel_y]
type = INSFVVelocityVariable
initial_condition = 1
face_interp_method = 'skewness-corrected'
[]
[pressure]
type = INSFVPressureVariable
face_interp_method = 'skewness-corrected'
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'skewness-corrected'
velocity_interp_method = 'rc'
rho = ${rho}
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = vel_x
advected_interp_method = 'skewness-corrected'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = vel_x
mu = ${mu}
momentum_component = 'x'
variable_interp_method = skewness-corrected
[]
[u_pressure]
type = INSFVMomentumPressure
variable = vel_x
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = vel_x
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = vel_y
advected_interp_method = 'skewness-corrected'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = vel_y
mu = ${mu}
momentum_component = 'y'
variable_interp_method = skewness-corrected
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_x
function = '0'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_y
function = '0'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ParsedFunction
expression = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3'
'*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2'
'*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-8
[]
[Outputs]
[out]
type = Exodus
hide = lambda
[]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/rotated/rotated-pp-flow.i)
mu=0.5
rho=1.1
advected_interp_method='average'
velocity_interp_method='average'
two_term_boundary_expansion=true
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 10
ymin = -1
ymax = 1
nx = 10
ny = 2
[]
[rotate]
type = TransformGenerator
input = gen
transform = 'rotate'
vector_value = '45 0 0'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[AuxVariables]
[vel_exact_x][]
[vel_exact_y][]
[p_exact][]
[]
[AuxKernels]
[u_exact]
type = FunctionAux
variable = vel_exact_x
function = exact_u
[]
[v_exact]
type = FunctionAux
variable = vel_exact_y
function = exact_v
[]
[p_exact]
type = FunctionAux
variable = p_exact
function = exact_p
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
variable = u
boundary = 'top bottom'
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
variable = v
boundary = 'top bottom'
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = '0.25*sqrt(2)*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu'
symbol_values = '${mu}'
[]
[exact_rhou]
type = ParsedFunction
expression = '0.25*sqrt(2)*rho*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '0'
[]
[exact_v]
type = ParsedFunction
expression = '0.25*sqrt(2)*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu'
symbol_values = '${mu}'
[]
[exact_rhov]
type = ParsedFunction
expression = '0.25*sqrt(2)*rho*(1.0 - 1/2*(-x + y)^2)/mu'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '0'
[]
[exact_p]
type = ParsedFunction
expression = '-1/2*sqrt(2)*(x + y) + 10.0'
[]
[forcing_p]
type = ParsedFunction
expression = '0'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/2d-average.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/2)*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + '
'(1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - '
'pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - '
'1/4*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(5/16)*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - '
'pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + '
'(1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + '
'(3/2)*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - '
'1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/1d-average.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 1
xmin = 0
xmax = 1
nx = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet_u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin((1/2)*x*pi) + pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) - '
'1/2*pi*sin((1/2)*x*pi)'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos((1/2)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '(1/2)*pi*rho*cos((1/2)*x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
[]
[Outputs]
csv = true
exodus = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average-with-temp.i)
mu=1.1
rho=1.1
k=1.1
cp=1.1
advected_interp_method='average'
velocity_interp_method='average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[temperature]
type = INSFVEnergyVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[temp_conduction]
type = FVDiffusion
coeff = 'k'
variable = temperature
[]
[temp_advection]
type = INSFVEnergyAdvection
variable = temperature
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
[]
[temp_forcing]
type = FVBodyForce
variable = temperature
function = forcing_t
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
functor = 'exact_v'
[]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = v
function = 'exact_v'
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'top'
variable = pressure
function = 'exact_p'
[]
[axis-u]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = x
[]
[axis-v]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[axis-inlet-wall-t]
type = FVFunctionDirichletBC
boundary = 'left bottom right'
variable = temperature
function = 'exact_t'
[]
[]
[FunctorMaterials]
[const_functor]
type = ADGenericFunctorMaterial
prop_names = 'cp k'
prop_values = '${cp} ${k}'
[]
[ins_fv]
type = INSFVEnthalpyFunctorMaterial
temperature = 'temperature'
rho = ${rho}
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) - pi*sin(x*pi)*cos((1/2)*y*pi) + (4*x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2*cos(x*pi) + rho*sin(x*pi)^4*sin((1/2)*y*pi)^2)/x + (-x*pi*rho*sin(x*pi)^2*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*rho*sin(x*pi)^2*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x - (-2*x*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) + 2*x*pi^2*mu*sin((1/2)*y*pi)*cos(x*pi)^2 + 2*pi*mu*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1/2*pi*sin((1/2)*y*pi)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)*cos(y*pi) + 2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi)^2*cos(y*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[exact_t]
type = ParsedFunction
expression = 'sin(x*pi)*sin((1/2)*y*pi)'
[]
[forcing_t]
type = ParsedFunction
expression = '(1/4)*pi^2*k*sin(x*pi)*sin((1/2)*y*pi) - (-x*pi^2*k*sin(x*pi)*sin((1/2)*y*pi) + pi*k*sin((1/2)*y*pi)*cos(x*pi))/x + (3*x*pi*cp*rho*sin(x*pi)^2*sin((1/2)*y*pi)^2*cos(x*pi) + cp*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2)/x + (-x*pi*cp*rho*sin(x*pi)*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*cp*rho*sin(x*pi)*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x'
symbol_names = 'k rho cp'
symbol_values = '${k} ${rho} ${cp}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2t]
approximate = temperature
exact = exact_t
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected.i)
mu = 1.1
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'rc'
darcy = 1.1
forch = 1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 2
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
Darcy_name = 'Darcy_coefficient'
Forchheimer_name = 'Forchheimer_coefficient'
porosity = porosity
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
porosity = porosity
pressure = pressure
smoothing_layers = 2
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[eps_out]
type = MooseVariableFVReal
[]
[]
[AuxKernels]
[eps_out]
type = FunctorAux
variable = eps_out
functor = porosity
execute_on = 'timestep_end'
[]
[]
[FVKernels]
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = u
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
[]
[u_drag]
type = PINSFVMomentumFriction
variable = u
momentum_component = 'x'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[u_correction]
type = PINSFVMomentumFrictionCorrection
variable = u
momentum_component = 'x'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
pressure = pressure
porosity = porosity
momentum_component = 'y'
[]
[v_drag]
type = PINSFVMomentumFriction
variable = v
momentum_component = 'y'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[v_correction]
type = PINSFVMomentumFrictionCorrection
variable = v
momentum_component = 'y'
rho = ${rho}
speed = speed
mu = ${mu}
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[FunctorMaterials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '${darcy} ${darcy} ${darcy} ${forch} ${forch} ${forch}'
[]
[speed]
type = PINSFVSpeedFunctorMaterial
superficial_vel_x = u
superficial_vel_y = v
porosity = porosity
[]
[]
[Functions]
[porosity]
type = ParsedFunction
expression = '.5 + .1 * sin(pi * x / 4) * cos(pi * y / 4)'
[]
[exact_u]
type = ParsedFunction
expression = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ParsedFunction
expression = 'darcy*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.1*pi^2*sin((1/4)*x*pi)*sin((1/4)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.1*pi^2*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/2)*y*pi)*cos((1/4)*x*pi)^2*cos((1/2)*x*pi)*cos((1/4)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/2)*pi*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/2)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/2)*y*pi)^2*cos((1/4)*x*pi)*cos((1/2)*x*pi)^2*cos((1/4)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/2)*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/4*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ParsedFunction
expression = 'darcy*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) + (1/2)*forch*rho*sqrt(sin((1/4)*x*pi)^2*cos((1/2)*y*pi)^2 + sin((1/2)*y*pi)^2*cos((1/2)*x*pi)^2)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-0.1*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/4*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(0.025*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.05*pi^2*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + 0.01*pi^2*sin((1/4)*x*pi)*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^3 - 1/16*pi^2*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)) + 0.025*pi*mu*(0.1*pi*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 1/2*pi*sin((1/4)*x*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*(-0.1*pi*sin((1/4)*x*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 + (1/4)*pi*cos((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5))*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.1*pi*rho*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)*cos((1/2)*y*pi)^2/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - 0.1*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.2*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 1)^2 - pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (1/4)*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) + (3/2)*pi*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
symbol_names = 'mu rho darcy forch'
symbol_values = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = false
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2FunctorError
approximate = pressure
exact = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/plane-poiseuille-flow.i)
mu = 0.5
rho = 1.1
advected_interp_method = 'average'
velocity_interp_method = 'average'
two_term_boundary_expansion = true
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 10
ymin = -1
ymax = 1
nx = 10
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = ${two_term_boundary_expansion}
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
functor = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
variable = u
boundary = 'top bottom'
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
variable = v
boundary = 'top bottom'
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = '0.5*(1.0 - y^2)/mu'
symbol_names = 'mu'
symbol_values = '${mu}'
[]
[exact_rhou]
type = ParsedFunction
expression = '0.5*rho*(1.0 - y^2)/mu'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '0'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = '0.0'
[]
[exact_rhov]
type = ParsedFunction
expression = '0'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '0'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = '10.0 - x'
[]
[forcing_p]
type = ParsedFunction
expression = '0'
symbol_names = 'rho mu'
symbol_values = '${rho} ${mu}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_mat_solver_type'
petsc_options_value = 'lu NONZERO superlu_dist'
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/linear-segregated/2d-vortex/spacedependent_mu/newton.i)
rho = 1.0
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = vel_x
v = vel_y
pressure = pressure
[]
[]
[Variables]
[vel_x]
type = INSFVVelocityVariable
initial_condition = 1
[]
[vel_y]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = vel_x
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = vel_x
mu = 'mu'
momentum_component = 'x'
complete_expansion = false
u = vel_x
v = vel_y
[]
[u_pressure]
type = INSFVMomentumPressure
variable = vel_x
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = vel_x
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = vel_y
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = vel_y
mu = 'mu'
momentum_component = 'y'
complete_expansion = false
u = vel_x
v = vel_y
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_x
function = '0'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_y
function = '0'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
expression = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
expression = 'x*(1-x)-2/12'
[]
[mu]
type = ParsedFunction
expression = '1+(x-1)*x*(y-1)*y'
[]
[forcing_u]
type = ParsedFunction
expression = '-(2*x-1)*y*(y-1)*(2*x-6*x^2+4*x^3)*(2*y-6*y^2+4*y^3)'
'-(1+x*(x-1)*y*(y-1))*(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2)'
'-(2*y-1)*x*(x-1)*(x^2*(1-x)^2*(2-12*y+12*y^2))'
'-(1+x*(x-1)*y*(y-1))*(x^2*(1-x)^2*(-12+24*y))'
'+1-2*x+rho*4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(2*y-1)*x*(x-1)*(2*y-6*y^2+4*y^3)*(2*x-6*x^2+4*x^3)'
'+(1+x*(x-1)*y*(y-1))*(2-12*y+12*y^2)*(2*x-6*x^2+4*x^3)'
'+(2*x-1)*y*(y-1)*(y^2*(1-y)^2*(2-12*x+12*x^2))'
'+(1+x*(x-1)*y*(y-1))*(y^2*(1-y)^2*(-12+24*x))'
'+rho*4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u_deviatoric]
type = ParsedFunction
expression = '-2*(2*x-1)*y*(y-1)*(2*x-6*x^2+4*x^3)*(2*y-6*y^2+4*y^3)'
'-2*(1+x*(x-1)*y*(y-1))*(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2)'
'-(2*y-1)*x*(x-1)*(x^2*(1-x)^2*(2-12*y+12*y^2)-y^2*(1-y)^2*(2-12*x+12*x^2))'
'-(1+x*(x-1)*y*(y-1))*(x^2*(1-x)^2*(-12+24*y)-(2*y-6*y^2+4*y^3)*(2-12*x+12*x^2))'
'+1-2*x+rho*4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v_deviatoric]
type = ParsedFunction
expression = '2*(2*y-1)*x*(x-1)*(2*y-6*y^2+4*y^3)*(2*x-6*x^2+4*x^3)'
'+2*(1+x*(x-1)*y*(y-1))*(2-12*y+12*y^2)*(2*x-6*x^2+4*x^3)'
'-(2*x-1)*y*(y-1)*(x^2*(1-x)^2*(2-12*y+12*y^2)-y^2*(1-y)^2*(2-12*x+12*x^2))'
'-(1+x*(x-1)*y*(y-1))*(-y^2*(1-y)^2*(-12+24*x)+(2*x-6*x^2+4*x^3)*(2-12*y+12*y^2))'
'+rho*4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-8
[]
[Outputs]
[out]
type = Exodus
hide = lambda
[]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2FunctorError
approximate = vel_x
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2FunctorError
approximate = vel_y
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/cylindrical/2d-rc.i)
mu = 1.1
rho = 1.1
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 1
xmax = 3
ymin = -1
ymax = 1
nx = 2
ny = 2
[]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[mean_zero_pressure]
type = FVIntegralValueConstraint
variable = pressure
lambda = lambda
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = 'average'
velocity_interp_method = 'rc'
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = v
function = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(y)*sin(x*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(y)*sin(x*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = 'mu*sin(y)*sin(x*pi) - (-x*pi^2*mu*sin(y)*sin(x*pi) + pi*mu*sin(y)*cos(x*pi))/x + '
'(2*x*pi*rho*sin(y)^2*sin(x*pi)*cos(x*pi) + rho*sin(y)^2*sin(x*pi)^2)/x + '
'(-1/2*x*pi*rho*sin(x)*sin(y)*sin(x*pi)*sin((1/2)*y*pi) + '
'x*rho*sin(x)*sin(x*pi)*cos(y)*cos((1/2)*y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'sin(x)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*sin(x)*cos((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x)*cos((1/2)*y*pi) - pi*rho*sin(x)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) '
'+ cos(y) - (-x*mu*sin(x)*cos((1/2)*y*pi) + mu*cos(x)*cos((1/2)*y*pi))/x + '
'(x*pi*rho*sin(x)*sin(y)*cos(x*pi)*cos((1/2)*y*pi) + '
'x*rho*sin(y)*sin(x*pi)*cos(x)*cos((1/2)*y*pi) + '
'rho*sin(x)*sin(y)*sin(x*pi)*cos((1/2)*y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'sin(y)'
[]
[forcing_p]
type = ParsedFunction
expression = '-1/2*pi*rho*sin(x)*sin((1/2)*y*pi) + (x*pi*rho*sin(y)*cos(x*pi) + '
'rho*sin(y)*sin(x*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -pc_factor_shift_type'
petsc_options_value = 'lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-average.i)
mu=1.1
rho=1.1
advected_interp_method='average'
velocity_interp_method='average'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 1
ymin = 0
ymax = 1
nx = 2
ny = 2
[]
coord_type = 'RZ'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = INSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
[]
[]
[Variables]
[u]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[v]
type = INSFVVelocityVariable
initial_condition = 1
two_term_boundary_expansion = false
[]
[pressure]
type = INSFVPressureVariable
two_term_boundary_expansion = false
[]
[]
[FVKernels]
[mass]
type = INSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[mass_forcing]
type = FVBodyForce
variable = pressure
function = forcing_p
[]
[u_advection]
type = INSFVMomentumAdvection
variable = u
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'x'
[]
[u_viscosity]
type = INSFVMomentumDiffusion
variable = u
mu = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[v_advection]
type = INSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
momentum_component = 'y'
[]
[v_viscosity]
type = INSFVMomentumDiffusion
variable = v
mu = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = u
functor = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
functor = 'exact_v'
[]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'right'
variable = v
function = 'exact_v'
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'top'
variable = pressure
function = 'exact_p'
[]
[axis-u]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = x
[]
[axis-v]
type = INSFVSymmetryVelocityBC
boundary = 'left'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
expression = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
expression = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_u]
type = ParsedFunction
expression = '(1/4)*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) - pi*sin(x*pi)*cos((1/2)*y*pi) + (4*x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)^2*cos(x*pi) + rho*sin(x*pi)^4*sin((1/2)*y*pi)^2)/x + (-x*pi*rho*sin(x*pi)^2*sin((1/2)*y*pi)*sin(y*pi)*cos(x*pi) + (1/2)*x*pi*rho*sin(x*pi)^2*cos(x*pi)*cos((1/2)*y*pi)*cos(y*pi))/x - (-2*x*pi^2*mu*sin(x*pi)^2*sin((1/2)*y*pi) + 2*x*pi^2*mu*sin((1/2)*y*pi)*cos(x*pi)^2 + 2*pi*mu*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
expression = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
expression = 'rho*cos(x*pi)*cos(y*pi)'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[forcing_v]
type = ParsedFunction
expression = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1/2*pi*sin((1/2)*y*pi)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*sin((1/2)*y*pi)*cos(y*pi) + 2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi)^2*cos(y*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi)*cos(x*pi)*cos(y*pi))/x'
symbol_names = 'mu rho'
symbol_values = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
expression = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
expression = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
symbol_names = 'rho'
symbol_values = '${rho}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
csv = true
[dof]
type = DOFMap
execute_on = 'initial'
[]
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2FunctorError
approximate = u
exact = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2FunctorError
approximate = v
exact = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
approximate = pressure
exact = exact_p
type = ElementL2FunctorError
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]