- 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 finite volume variable this kernel applies to
C++ Type:NonlinearVariableName
Controllable:No
Description:The name of the finite volume variable this kernel applies to
INSFVBodyForce
This object implements the exact same functionality as FVBodyForce but it's dedicated to use in the Navier-Stokes momentum equation because it feeds its body force contribution into the INSFVRhieChowInterpolator object for interpolation and reconstruction operations.
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
Default:1
C++ Type:MooseFunctorName
Controllable:No
Description:A functor that describes the body force
- 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.
- postprocessor1A postprocessor whose value is multiplied by the body force
Default:1
C++ Type:PostprocessorName
Controllable:No
Description:A postprocessor whose value is multiplied by the body force
- 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
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.
- scaling_factor1Coefficient to multiply by the body force term
Default:1
C++ Type:double
Controllable:Yes
Description:Coefficient to multiply by the body force term
- 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.
Optional 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
- 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
- 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
Tagging Parameters
Input Files
- (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/cartesian-version/2d-rc-no-slip-walls.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex-action.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/2d-rc.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/2d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/pressure-interpolation-corrected.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/porosity_change/1d-rc-continuous.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/channel-flow/cylindrical/2d-rc.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/2d-rc-continuous.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/plane-poiseuille-flow.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-no-diffusion.i)
- (modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/rc.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/rotated/rotated-pp-flow.i)
- (modules/navier_stokes/test/tests/finite_volume/ins/mms/skew-correction/skewed-vortex.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/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-rz-symmetry.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/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
[]
[]
[Problem]
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 = FVScalarLagrangeMultiplier
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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = v
function = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(y)*sin(x*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin(y)*sin(x*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin(x)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*sin(x)*cos((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '(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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(y)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin(x)*sin((1/2)*y*pi) + (x*pi*rho*sin(y)*cos(x*pi) + rho*sin(y)*sin(x*pi))/x'
vars = 'rho'
vals = '${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 30 lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
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/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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_walls]
type = INSFVNoSlipWallBC
variable = u
boundary = 'left right'
function = 'exact_u'
[]
[v_walls]
type = INSFVNoSlipWallBC
variable = v
boundary = 'left right'
function = 'exact_v'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
function = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
function = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(x*pi)*cos(y*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '2*pi^2*mu*sin(x*pi)*cos(y*pi) - 2*pi*rho*sin(x*pi)*sin(y*pi)*cos(1.3*x)*cos(y*pi) + 2*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi)^2 + 1.5*cos(1.5*x)*cos(1.6*y)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'cos(1.3*x)*cos(y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = '1.69*mu*cos(1.3*x)*cos(y*pi) + pi^2*mu*cos(1.3*x)*cos(y*pi) - 1.3*rho*sin(1.3*x)*sin(x*pi)*cos(y*pi)^2 - 2*pi*rho*sin(y*pi)*cos(1.3*x)^2*cos(y*pi) + pi*rho*cos(1.3*x)*cos(x*pi)*cos(y*pi)^2 - 1.6*sin(1.5*x)*sin(1.6*y)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(1.5*x)*cos(1.6*y)'
[]
[forcing_p]
type = ParsedFunction
value = '-pi*rho*sin(y*pi)*cos(1.3*x) + pi*rho*cos(x*pi)*cos(y*pi)'
vars = 'rho'
vals = '${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 = 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'
[../]
[p_avg]
type = ElementAverageValue
variable = pressure
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(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 = '1 1 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'
[]
[]
[Materials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'rho mu'
prop_values = '${rho} ${mu}'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
value = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
value = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ADParsedFunction
value = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
vars = 'mu rho'
vals = '${mu} ${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 = 'bjacobi 30 lu NONZERO'
line_search = 'none'
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/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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '0.5*pi^2*mu*sin((1/2)*y*pi)*cos((1/2)*x*pi) - 0.625*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) + 0.625*pi*rho*sin((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi)^2 - 1.25*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)^2*cos((1/2)*x*pi) - 0.2*pi*sin((1/4)*x*pi)*sin((3/2)*y*pi)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = '0.3125*pi^2*mu*sin((1/4)*x*pi)*cos((1/2)*y*pi) - 1.25*pi*rho*sin((1/4)*x*pi)^2*sin((1/2)*y*pi)*cos((1/2)*y*pi) - 0.625*pi*rho*sin((1/4)*x*pi)*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*y*pi) + 0.3125*pi*rho*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/2)*y*pi) + 1.2*pi*cos((1/4)*x*pi)*cos((3/2)*y*pi)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${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 = true
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]
type = ElementL2Error
variable = pressure
function = exact_p
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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${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]
exodus = true
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/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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${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 = true
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]
type = ElementL2Error
variable = pressure
function = exact_p
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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ADFunctorElementalAux
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'
porosity = porosity
rho = ${rho}
[]
[u_correction]
type = PINSFVMomentumFrictionCorrection
variable = u
momentum_component = 'x'
porosity = porosity
rho = ${rho}
[]
[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'
porosity = porosity
rho = ${rho}
[]
[v_correction]
type = PINSFVMomentumFrictionCorrection
variable = v
momentum_component = 'y'
porosity = porosity
rho = ${rho}
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Materials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '${darcy} ${darcy} ${darcy} ${forch} ${forch} ${forch}'
[]
[]
[Functions]
[porosity]
type = ADParsedFunction
value = '.5 + .1 * sin(pi * x / 4) * cos(pi * y / 4)'
[]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '-mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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^2*sin((1/4)*x*pi)*sin((1/4)*y*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)^2 + 0.00625*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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) + 0.00625*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.025*pi^2*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/2)*y*pi)*cos((1/4)*x*pi)^2*cos((1/2)*x*pi)*cos((1/4)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) - 0.025*pi*mu*(-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) - 0.025*pi*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.025*pi*mu*((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) + 0.025*pi*sin((1/4)*x*pi)*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*sin((1/4)*x*pi)*sin((1/4)*y*pi) + rho*(darcy + forch)*sin((1/2)*y*pi)*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)*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) + 0.025*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)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 0.025*pi*rho*sin((1/2)*y*pi)^2*cos((1/4)*x*pi)*cos((1/2)*x*pi)^2*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 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)'
vars = 'mu rho darcy forch'
vals = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = '-mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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) - 0.025*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00625*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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) + 0.00625*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 0.0125*pi^2*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/4)*x*pi)*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) + 0.025*pi*mu*(-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) + 0.025*pi*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*((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) - 0.025*pi*sin((1/4)*x*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*cos((1/4)*x*pi)*cos((1/4)*y*pi) + rho*(darcy + forch)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 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) + 0.025*pi*rho*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)*cos((1/2)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 0.025*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)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + (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)'
vars = 'mu rho darcy forch'
vals = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${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 = 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]
type = ElementL2Error
variable = pressure
function = exact_p
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
value = '1 - 0.5 * 1 / (1 + exp(-30*(x-1)))'
[]
# Generated by compute-functions-1d.py
[exact_u]
type = ParsedFunction
value = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '-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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/2)*x*pi)'
vars = 'rho'
vals = '${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
function = '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 = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(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
[]
[]
[Problem]
fv_bcs_integrity_check = true
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
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
function = '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 = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*cos(x*pi)*cos(y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
vars = 'rho'
vals = '${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]
exodus = true
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/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
[]
[]
[Problem]
fv_bcs_integrity_check = true
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
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
function = '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 = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[axis-inlet-wall-t]
type = FVFunctionDirichletBC
boundary = 'left bottom right'
variable = temperature
function = 'exact_t'
[]
[]
[Materials]
[const_functor]
type = ADGenericFunctorMaterial
prop_names = 'cp k'
prop_values = '${cp} ${k}'
[]
[ins_fv]
type = INSFVEnthalpyMaterial
temperature = 'temperature'
rho = ${rho}
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*cos(x*pi)*cos(y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
vars = 'rho'
vals = '${rho}'
[]
[exact_t]
type = ParsedFunction
value = 'sin(x*pi)*sin((1/2)*y*pi)'
[]
[forcing_t]
type = ParsedFunction
value = '(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'
vars = 'k rho cp'
vals = '${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]
exodus = true
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'
[../]
[./L2t]
variable = temperature
function = exact_t
type = ElementL2Error
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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = '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
value = '1 - 0.5 * 1 / (1 + exp(-30*(x-1))) - 0.01 * y'
[]
# Output from compute-functions-2d.py
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = '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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${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 = true
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]
type = ElementL2Error
variable = pressure
function = exact_p
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
[]
[]
[Problem]
fv_bcs_integrity_check = true
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
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'bottom'
variable = v
function = '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 = ${mu}
momentum_component = y
[]
[axis-p]
type = INSFVSymmetryPressureBC
boundary = 'left'
variable = pressure
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(x*pi)^2*sin((1/2)*y*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin(x*pi)^2*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'cos(x*pi)*cos(y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*cos(x*pi)*cos(y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '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'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'cos(x*pi)*cos((1/2)*y*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*sin((1/2)*y*pi)*cos(x*pi) + rho*sin(x*pi)^2*sin((1/2)*y*pi))/x'
vars = 'rho'
vals = '${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]
exodus = true
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/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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
variable = u
boundary = 'top bottom'
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
variable = v
boundary = 'top bottom'
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = '0.5*(1.0 - y^2)/mu'
vars = 'mu'
vals = '${mu}'
[]
[exact_rhou]
type = ParsedFunction
value = '0.5*rho*(1.0 - y^2)/mu'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '0'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = '0.0'
[]
[exact_rhov]
type = ParsedFunction
value = '0'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '0'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = '10.0 - x'
[]
[forcing_p]
type = ParsedFunction
value = '0'
vars = 'rho mu'
vals = '${rho} ${mu}'
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'asm 100 lu NONZERO'
line_search = 'none'
[]
[Outputs]
exodus = true
csv = true
[]
[Postprocessors]
[h]
type = AverageElementSize
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[./L2u]
type = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2v]
type = ElementL2Error
variable = v
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[./L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[../]
[]
(modules/navier_stokes/test/tests/finite_volume/pins/mms/1d-rc-no-diffusion-strong-bc.i)
mu=1e-15
rho=1.1
advected_interp_method='upwind'
velocity_interp_method='rc'
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 1
nx = 2
xmax = 0.5
[]
[]
[GlobalParams]
two_term_boundary_expansion = true
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
pressure = pressure
porosity = porosity
[]
[]
[Problem]
fv_bcs_integrity_check = false
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = .1
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.8
[]
[]
[Problem]
error_on_jacobian_nonzero_reallocation = true
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '-1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/2)*x*pi)'
vars = 'rho'
vals = '${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 = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = u
pressure = pressure
porosity = porosity
momentum_component = 'x'
force_boundary_execution = false
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[mass]
variable = pressure
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = u
pressure = pressure
eqn = 'mass'
porosity = porosity
[]
[momentum]
variable = u
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = u
pressure = pressure
eqn = 'momentum'
momentum_component = 'x'
porosity = porosity
[]
[inlet-u]
type = FVFunctionDirichletBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[outlet_p]
type = FVFunctionDirichletBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Materials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'rho'
prop_values = '${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]
[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 = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
exodus = true
csv = true
[]
(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
value = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '-1.25*pi*rho*sin((1/2)*x*pi)*cos((1/2)*x*pi) + 0.8*cos(x)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/2)*x*pi)'
vars = 'rho'
vals = '${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
function = '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]
[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 = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
exodus = true
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
value = 'cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(x)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/2)*x*pi)'
vars = 'rho'
vals = '${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
function = '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 = 'none'
[]
[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 = ElementL2Error
variable = u
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
variable = pressure
function = exact_p
type = ElementL2Error
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
[Outputs]
exodus = true
csv = 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 = FVScalarLagrangeMultiplier
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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = u
function = 'exact_u'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = v
function = 'exact_v'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(y)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin(y)*cos((1/2)*x*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin(x)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*sin(x)*cos((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin(x)*sin(y)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin(x)*sin((1/2)*y*pi) - 1/2*pi*rho*sin(y)*sin((1/2)*x*pi)'
vars = 'rho'
vals = '${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 30 lu NONZERO'
nl_rel_tol = 1e-12
[]
[Outputs]
exodus = true
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]
variable = v
function = exact_v
type = ElementL2Error
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/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 = ${mu}
momentum_component = 'x'
[]
[u_pressure]
type = INSFVMomentumPressure
variable = u
momentum_component = 'x'
pressure = pressure
[]
[u_forcing]
type = INSFVBodyForce
variable = u
functor = forcing_u
momentum_component = 'x'
[]
[]
[FVBCs]
[inlet_u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin((1/2)*x*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'cos((1/2)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '(1/2)*pi*rho*cos((1/2)*x*pi)'
vars = 'rho'
vals = '${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'
[]
[Outputs]
exodus = true
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'
[../]
[./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/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'
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
variable = u
boundary = 'top bottom'
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
variable = v
boundary = 'top bottom'
function = 'exact_v'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = '0.25*sqrt(2)*(1.0 - 1/2*(-x + y)^2)/mu'
vars = 'mu'
vals = '${mu}'
[]
[exact_rhou]
type = ParsedFunction
value = '0.25*sqrt(2)*rho*(1.0 - 1/2*(-x + y)^2)/mu'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '0'
[]
[exact_v]
type = ParsedFunction
value = '0.25*sqrt(2)*(1.0 - 1/2*(-x + y)^2)/mu'
vars = 'mu'
vals = '${mu}'
[]
[exact_rhov]
type = ParsedFunction
value = '0.25*sqrt(2)*rho*(1.0 - 1/2*(-x + y)^2)/mu'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '0'
[]
[exact_p]
type = ParsedFunction
value = '-1/2*sqrt(2)*(x + y) + 10.0'
[]
[forcing_p]
type = ParsedFunction
value = '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]
exodus = true
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/skew-correction/skewed-vortex.i)
mu=1.0
rho=1.0
[Problem]
coord_type = 'XYZ'
error_on_jacobian_nonzero_reallocation = true
[]
[Mesh]
[gen_mesh]
type = FileMeshGenerator
file = skewed.msh
[]
[]
[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 = FVScalarLagrangeMultiplier
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'
[]
[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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = vel_y
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = vel_y
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[no-slip-wall-u]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_x
function = '0'
[]
[no-slip-wall-v]
type = INSFVNoSlipWallBC
boundary = 'left right top bottom'
variable = vel_y
function = '0'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'x^2*(1-x)^2*(2*y-6*y^2+4*y^3)'
[]
[exact_v]
type = ParsedFunction
value = '-y^2*(1-y)^2*(2*x-6*x^2+4*x^3)'
[]
[exact_p]
type = ParsedFunction
value = 'x*(1-x)-2/12'
[]
[forcing_u]
type = ADParsedFunction
value = '-4*mu/rho*(-1+2*y)*(y^2-6*x*y^2+6*x^2*y^2-y+6*x*y-6*x^2*y+3*x^2-6*x^3+3*x^4)+1-2*x+4*x^3*y^2*(2*y^2-2*y+1)*(y-1)^2*(-1+2*x)*(x-1)^3'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '4*mu/rho*(-1+2*x)*(x^2-6*y*x^2+6*x^2*y^2-x+6*x*y-6*x*y^2+3*y^2-6*y^3+3*y^4)+4*y^3*x^2*(2*x^2-2*x+1)*(x-1)^2*(-1+2*y)*(y-1)^3'
vars = 'mu rho'
vals = '${mu} ${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 = 'bjacobi 30 lu NONZERO'
line_search = 'none'
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/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
[]
[]
[AuxKernels]
[eps_out]
type = ADFunctorElementalAux
variable = eps_out
functor = porosity
execute_on = 'timestep_end'
[]
[]
[Modules]
[NavierStokesFV]
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_function = 'exact_u exact_v exact_u exact_v exact_u exact_v'
outlet_boundaries = 'right'
momentum_outlet_types = 'fixed-pressure'
pressure_function = 'exact_p'
[]
[]
[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'
[]
[]
[Materials]
[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 = ADParsedFunction
value = '.5 + .1 * sin(pi * x / 4) * cos(pi * y / 4)'
[]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '-mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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^2*sin((1/4)*x*pi)*sin((1/4)*y*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)^2 + 0.00625*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)^2*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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) + 0.00625*pi^2*sin((1/4)*x*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.025*pi^2*sin((1/2)*x*pi)*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/2)*y*pi)*cos((1/4)*x*pi)^2*cos((1/2)*x*pi)*cos((1/4)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) - 0.025*pi*mu*(-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) - 0.025*pi*sin((1/2)*y*pi)*cos((1/4)*x*pi)*cos((1/2)*x*pi)*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*cos((1/4)*x*pi)*cos((1/4)*y*pi) + 0.025*pi*mu*((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) + 0.025*pi*sin((1/4)*x*pi)*sin((1/4)*y*pi)*sin((1/2)*y*pi)*cos((1/2)*x*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*sin((1/4)*x*pi)*sin((1/4)*y*pi) + rho*(darcy + forch)*sin((1/2)*y*pi)*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)*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) + 0.025*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)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 0.025*pi*rho*sin((1/2)*y*pi)^2*cos((1/4)*x*pi)*cos((1/2)*x*pi)^2*cos((1/4)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 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)'
vars = 'mu rho darcy forch'
vals = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = '-mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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) - 0.025*pi^2*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*sin((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00625*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) - mu*(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)*(-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) + 0.00625*pi^2*sin((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 0.0125*pi^2*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + 0.00125*pi^2*sin((1/4)*x*pi)*cos((1/4)*x*pi)^2*cos((1/4)*y*pi)^2*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^3) + 0.025*pi*mu*(-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) + 0.025*pi*sin((1/4)*x*pi)^2*sin((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*sin((1/4)*x*pi)*sin((1/4)*y*pi) - 0.025*pi*mu*((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) - 0.025*pi*sin((1/4)*x*pi)*cos((1/4)*x*pi)*cos((1/4)*y*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2)*cos((1/4)*x*pi)*cos((1/4)*y*pi) + rho*(darcy + forch)*sin((1/4)*x*pi)*cos((1/2)*y*pi)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5) - 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) + 0.025*pi*rho*sin((1/4)*x*pi)^3*sin((1/4)*y*pi)*cos((1/2)*y*pi)^2/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 - 0.025*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)/(0.1*sin((1/4)*x*pi)*cos((1/4)*y*pi) + 0.5)^2 + (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)'
vars = 'mu rho darcy forch'
vals = '${mu} ${rho} ${darcy} ${forch}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${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 = ElementL2Error
variable = superficial_vel_x
function = exact_u
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2v]
type = ElementL2Error
variable = superficial_vel_y
function = exact_v
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2p]
type = ElementL2Error
variable = pressure
function = 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
[]
[]
[Modules]
[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 = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressureFlux
variable = sup_vel_x
pressure = pressure
porosity = porosity
momentum_component = 'x'
force_boundary_execution = false
[]
[momentum_fn]
type = INSFVBodyForce
variable = sup_vel_x
functor = 'forcing_rho_ud'
momentum_component = 'x'
[]
[]
[FVBCs]
[mass]
variable = pressure
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = sup_vel_x
pressure = pressure
eqn = 'mass'
porosity = porosity
[]
[momentum]
variable = sup_vel_x
type = PINSFVFunctorBC
boundary = 'left right'
superficial_vel_x = sup_vel_x
pressure = pressure
eqn = 'momentum'
momentum_component = 'x'
porosity = porosity
[]
# help gradient reconstruction *and* create Dirichlet values for use in PINSFVFunctorBC
[pressure_right]
type = FVFunctionDirichletBC
variable = pressure
function = exact_p
boundary = 'right'
[]
[sup_vel_x_left]
type = FVFunctionDirichletBC
variable = sup_vel_x
function = exact_sup_vel_x
boundary = 'left'
[]
[T_fluid_left]
type = FVFunctionDirichletBC
variable = T_fluid
function = exact_T
boundary = 'left'
[]
[]
[Materials]
[const_functor]
type = ADGenericFunctorMaterial
prop_names = 'cp'
prop_values = '${cp}'
[]
[rho]
type = RhoFromPTFunctorMaterial
fp = fp
temperature = T_fluid
pressure = pressure
[]
[ins_fv]
type = INSFVEnthalpyMaterial
temperature = T_fluid
rho = ${rho}
[]
[]
[Functions]
[forcing_rho]
type = ParsedFunction
value = '-3.45300378856215*sin(1.1*x)'
[]
[forcing_rho_ud]
type = ADParsedFunction
value = '-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
value = '0.0106975765229418*cos(1.2*x)/cos(x) - 0.000697576522941848*cos(1.1*x)^2/cos(x)^2'
[]
[exact_p]
type = ParsedFunction
value = '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
value = '0.9*cos(1.1*x)/cos(x)'
[]
[eps]
type = ParsedFunction
value = '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 = ElementL2Error
variable = pressure
function = exact_p
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[L2sup_vel_x]
variable = sup_vel_x
function = exact_sup_vel_x
type = ElementL2Error
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 = ${mu}
u = u
v = v
momentum_component = 'y'
[]
[p_axis]
type = INSFVSymmetryPressureBC
variable = pressure
boundary = 'left'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
function = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
function = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(x*pi)*cos(y*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = '2*pi^2*mu*sin(x*pi)*cos(y*pi) - 2*pi*rho*sin(x*pi)*sin(y*pi)*cos(1.3*x)*cos(y*pi) + 2*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi)^2 - 1.5*sin(1.5*x)*cos(1.6*y)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'cos(1.3*x)*cos(y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = '1.69*mu*cos(1.3*x)*cos(y*pi) + pi^2*mu*cos(1.3*x)*cos(y*pi) - 1.3*rho*sin(1.3*x)*sin(x*pi)*cos(y*pi)^2 - 2*pi*rho*sin(y*pi)*cos(1.3*x)^2*cos(y*pi) + pi*rho*cos(1.3*x)*cos(x*pi)*cos(y*pi)^2 - 1.6*sin(1.6*y)*cos(1.5*x)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'cos(1.5*x)*cos(1.6*y)'
[]
[forcing_p]
type = ParsedFunction
value = '-pi*rho*sin(y*pi)*cos(1.3*x) + pi*rho*cos(x*pi)*cos(y*pi)'
vars = 'rho'
vals = '${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 = 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'
[../]
[p_avg]
type = ElementAverageValue
variable = pressure
outputs = 'console csv'
execute_on = 'timestep_end'
[]
[]
(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
[]
[]
[Problem]
fv_bcs_integrity_check = false
coord_type = 'RZ'
[]
[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 = ${mu}
momentum_component = 'y'
[]
[v_pressure]
type = INSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
[]
[v_forcing]
type = INSFVBodyForce
variable = v
functor = forcing_v
momentum_component = 'y'
[]
[]
[FVBCs]
[u_wall]
type = INSFVNoSlipWallBC
variable = u
boundary = 'right'
function = 'exact_u'
[]
[v_wall]
type = INSFVNoSlipWallBC
variable = v
boundary = 'right'
function = 'exact_v'
[]
[p]
type = INSFVOutletPressureBC
variable = pressure
function = 'exact_p'
boundary = 'top'
[]
[inlet_u]
type = INSFVInletVelocityBC
variable = u
function = 'exact_u'
boundary = 'bottom'
[]
[inlet_v]
type = INSFVInletVelocityBC
variable = v
function = 'exact_v'
boundary = 'bottom'
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin(x*pi)^2*cos(y*pi)'
[]
[forcing_u]
type = ADParsedFunction
value = 'pi^2*mu*sin(x*pi)^2*cos(y*pi) - 2*pi*rho*sin(x*pi)^2*sin(y*pi)*cos(x*pi)*cos(y*pi) - pi*sin(x*pi)*cos(1.6*y) + (4*x*pi*rho*sin(x*pi)^3*cos(x*pi)*cos(y*pi)^2 + rho*sin(x*pi)^4*cos(y*pi)^2)/x - (-2*x*pi^2*mu*sin(x*pi)^2*cos(y*pi) + 2*x*pi^2*mu*cos(x*pi)^2*cos(y*pi) + 2*pi*mu*sin(x*pi)*cos(x*pi)*cos(y*pi))/x'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'cos(x*pi)*cos(y*pi)'
[]
[forcing_v]
type = ADParsedFunction
value = 'pi^2*mu*cos(x*pi)*cos(y*pi) - 2*pi*rho*sin(y*pi)*cos(x*pi)^2*cos(y*pi) - 1.6*sin(1.6*y)*cos(x*pi) - (-x*pi^2*mu*cos(x*pi)*cos(y*pi) - pi*mu*sin(x*pi)*cos(y*pi))/x + (-x*pi*rho*sin(x*pi)^3*cos(y*pi)^2 + 2*x*pi*rho*sin(x*pi)*cos(x*pi)^2*cos(y*pi)^2 + rho*sin(x*pi)^2*cos(x*pi)*cos(y*pi)^2)/x'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'cos(1.6*y)*cos(x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-pi*rho*sin(y*pi)*cos(x*pi) + (2*x*pi*rho*sin(x*pi)*cos(x*pi)*cos(y*pi) + rho*sin(x*pi)^2*cos(y*pi))/x'
vars = 'rho'
vals = '${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 = 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'
[../]
[p_avg]
type = ElementAverageValue
variable = pressure
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
[]
[]
[Problem]
fv_bcs_integrity_check = true
[]
[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 = ${velocity_interp_method}
[]
[temp_forcing]
type = FVBodyForce
variable = temperature
function = forcing_t
[]
[]
[FVBCs]
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = 'exact_u'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 'exact_v'
[]
[walls-u]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = u
function = 'exact_u'
[]
[walls-v]
type = INSFVNoSlipWallBC
boundary = 'top bottom'
variable = v
function = 'exact_v'
[]
[inlet-and-walls-t]
type = FVFunctionDirichletBC
boundary = 'left top bottom'
variable = temperature
function = 'exact_t'
[]
[outlet_p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 'exact_p'
[]
[]
[Materials]
[const]
type = ADGenericFunctorMaterial
prop_names = 'k cp'
prop_values = '${k} ${cp}'
[]
[ins_fv]
type = INSFVEnthalpyMaterial
temperature = 'temperature'
rho = ${rho}
[]
[]
[Functions]
[exact_u]
type = ParsedFunction
value = 'sin((1/2)*y*pi)*cos((1/2)*x*pi)'
[]
[exact_rhou]
type = ParsedFunction
value = 'rho*sin((1/2)*y*pi)*cos((1/2)*x*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_u]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_v]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[exact_rhov]
type = ParsedFunction
value = 'rho*sin((1/4)*x*pi)*cos((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[forcing_v]
type = ADParsedFunction
value = '(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)'
vars = 'mu rho'
vals = '${mu} ${rho}'
[]
[exact_p]
type = ParsedFunction
value = 'sin((3/2)*y*pi)*cos((1/4)*x*pi)'
[]
[forcing_p]
type = ParsedFunction
value = '-1/2*pi*rho*sin((1/4)*x*pi)*sin((1/2)*y*pi) - 1/2*pi*rho*sin((1/2)*x*pi)*sin((1/2)*y*pi)'
vars = 'rho'
vals = '${rho}'
[]
[exact_t]
type = ParsedFunction
value = 'sin((1/4)*x*pi)*cos((1/2)*y*pi)'
[]
[forcing_t]
type = ParsedFunction
value = '-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)'
vars = 'k rho cp'
vals = '${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]
exodus = true
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'
[../]
[]