PINSFVMomentumFriction
This kernel adds the friction term to the porous media Navier Stokes momentum equations. This kernel must be used with the canonical PINSFV variable set, e.g. pressure and superficial velocity. A variety of models are supported for the friction force:
Linear friction, for laminar flow Quadratic friction, for turbulent flow Darcy drag model Forchheimer drag model where is the i-th component of the friction force, f the friction factor, which may be anisotropic, the porosity and the fluid density and the fluid superficial velocity.
(modules/navier_stokes/test/tests/finite_volume/pins/channel-flow/2d-rc-rz-by-parts.i)
mu=1.1
rho=1
advected_interp_method='average'
velocity_interp_method='rc'
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
xmin = 0
xmax = 5
ymin = 0
ymax = 1
nx = 40
ny = 10
[]
[]
[Problem]
coord_type = 'RZ'
rz_coord_axis = 'X'
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = u
v = v
pressure = pressure
porosity = porosity
[]
[]
[Variables]
[u]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[v]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1e-6
[]
[pressure]
type = INSFVPressureVariable
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.5
[]
[]
[FVKernels]
inactive = 'v_pressure_volumetric'
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[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
momentum_component = 'x'
pressure = pressure
porosity = porosity
[]
[u_friction]
type = PINSFVMomentumFriction
variable = u
momentum_component = 'x'
porosity = porosity
Darcy_name = 'Darcy_coefficient'
Forchheimer_name = 'Forchheimer_coefficient'
rho = ${rho}
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = v
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = v
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure_volumetric]
type = PINSFVMomentumPressure
variable = v
momentum_component = 'y'
pressure = pressure
porosity = porosity
[]
[v_pressure_by_parts_flux]
type = PINSFVMomentumPressureFlux
variable = v
momentum_component = 'y'
pressure = pressure
porosity = porosity
[]
[v_pressure_by_parts_volume_term]
type = PNSFVMomentumPressureFluxRZ
variable = v
pressure = pressure
porosity = porosity
momentum_component = 'y'
[]
[v_friction]
type = PINSFVMomentumFriction
variable = v
momentum_component = 'y'
porosity = porosity
Darcy_name = 'Darcy_coefficient'
Forchheimer_name = 'Forchheimer_coefficient'
rho = ${rho}
[]
[]
[FVBCs]
inactive = 'free-slip-u free-slip-v'
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = u
function = '1'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = v
function = 0
[]
[no-slip-u]
type = INSFVNoSlipWallBC
boundary = 'top'
variable = u
function = 0
[]
[no-slip-v]
type = INSFVNoSlipWallBC
boundary = 'top'
variable = v
function = 0
[]
[free-slip-u]
type = INSFVNaturalFreeSlipBC
boundary = 'top'
variable = u
momentum_component = 'x'
[]
[free-slip-v]
type = INSFVNaturalFreeSlipBC
boundary = 'top'
variable = v
momentum_component = 'y'
[]
[symmetry-u]
type = PINSFVSymmetryVelocityBC
boundary = 'bottom'
variable = u
u = u
v = v
mu = ${mu}
momentum_component = 'x'
[]
[symmetry-v]
type = PINSFVSymmetryVelocityBC
boundary = 'bottom'
variable = v
u = u
v = v
mu = ${mu}
momentum_component = 'y'
[]
[symmetry-p]
type = INSFVSymmetryPressureBC
boundary = 'bottom'
variable = pressure
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 0
[]
[]
[Materials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '0.1 0.1 0.1 0.1 0.1 0.1'
[]
[]
[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'
nl_rel_tol = 1e-11
nl_abs_tol = 1e-14
[]
# Some basic Postprocessors to visually examine the solution
[Postprocessors]
[inlet-p]
type = SideAverageValue
variable = pressure
boundary = 'left'
[]
[outlet-u]
type = SideIntegralVariablePostprocessor
variable = u
boundary = 'right'
[]
[]
[Outputs]
exodus = true
[]
(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/channel-flow/2d-rc-friction.i)
mu=1.1
rho=1
advected_interp_method='average'
velocity_interp_method='rc'
[Mesh]
[mesh]
type = CartesianMeshGenerator
dim = 2
dx = '2.5 2.5'
dy = '1.0'
ix = '20 20'
iy = '20'
subdomain_id = '1 2'
[]
[]
[GlobalParams]
rhie_chow_user_object = 'rc'
[]
[UserObjects]
[rc]
type = PINSFVRhieChowInterpolator
u = superficial_vel_x
v = superficial_vel_y
pressure = pressure
porosity = porosity
[]
[]
[Variables]
inactive = 'lambda'
[superficial_vel_x]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1
[]
[superficial_vel_y]
type = PINSFVSuperficialVelocityVariable
initial_condition = 1e-6
[]
[pressure]
type = INSFVPressureVariable
[]
[lambda]
family = SCALAR
order = FIRST
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
fv = true
initial_condition = 0.5
[]
[]
[FVKernels]
inactive = 'mean-pressure'
[mass]
type = PINSFVMassAdvection
variable = pressure
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
[]
[u_advection]
type = PINSFVMomentumAdvection
variable = superficial_vel_x
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'x'
[]
[u_viscosity]
type = PINSFVMomentumDiffusion
variable = superficial_vel_x
mu = ${mu}
porosity = porosity
momentum_component = 'x'
[]
[u_pressure]
type = PINSFVMomentumPressure
variable = superficial_vel_x
momentum_component = 'x'
pressure = pressure
porosity = porosity
[]
[u_friction]
type = PINSFVMomentumFriction
variable = superficial_vel_x
momentum_component = 'x'
porosity = porosity
Darcy_name = 'Darcy_coefficient'
Forchheimer_name = 'Forchheimer_coefficient'
rho = ${rho}
[]
[v_advection]
type = PINSFVMomentumAdvection
variable = superficial_vel_y
advected_interp_method = ${advected_interp_method}
velocity_interp_method = ${velocity_interp_method}
rho = ${rho}
porosity = porosity
momentum_component = 'y'
[]
[v_viscosity]
type = PINSFVMomentumDiffusion
variable = superficial_vel_y
mu = ${mu}
porosity = porosity
momentum_component = 'y'
[]
[v_pressure]
type = PINSFVMomentumPressure
variable = superficial_vel_y
momentum_component = 'y'
pressure = pressure
porosity = porosity
[]
[v_friction]
type = PINSFVMomentumFriction
variable = superficial_vel_y
momentum_component = 'y'
porosity = porosity
Darcy_name = 'Darcy_coefficient'
Forchheimer_name = 'Forchheimer_coefficient'
rho = ${rho}
[]
[mean-pressure]
type = FVScalarLagrangeMultiplier
variable = pressure
lambda = lambda
phi0 = 0.01
[]
[]
[FVBCs]
inactive = 'free-slip-u free-slip-v'
[inlet-u]
type = INSFVInletVelocityBC
boundary = 'left'
variable = superficial_vel_x
function = '1'
[]
[inlet-v]
type = INSFVInletVelocityBC
boundary = 'left'
variable = superficial_vel_y
function = 0
[]
[no-slip-u]
type = INSFVNoSlipWallBC
boundary = 'top'
variable = superficial_vel_x
function = 0
[]
[no-slip-v]
type = INSFVNoSlipWallBC
boundary = 'top'
variable = superficial_vel_y
function = 0
[]
[free-slip-u]
type = INSFVNaturalFreeSlipBC
boundary = 'top'
variable = superficial_vel_x
momentum_component = 'x'
[]
[free-slip-v]
type = INSFVNaturalFreeSlipBC
boundary = 'top'
variable = superficial_vel_y
momentum_component = 'y'
[]
[symmetry-u]
type = PINSFVSymmetryVelocityBC
boundary = 'bottom'
variable = superficial_vel_x
u = superficial_vel_x
v = superficial_vel_y
mu = ${mu}
momentum_component = 'x'
[]
[symmetry-v]
type = PINSFVSymmetryVelocityBC
boundary = 'bottom'
variable = superficial_vel_y
u = superficial_vel_x
v = superficial_vel_y
mu = ${mu}
momentum_component = 'y'
[]
[symmetry-p]
type = INSFVSymmetryPressureBC
boundary = 'bottom'
variable = pressure
[]
[outlet-p]
type = INSFVOutletPressureBC
boundary = 'right'
variable = pressure
function = 0
[]
[]
[Materials]
[darcy]
type = ADGenericVectorFunctorMaterial
prop_names = 'Darcy_coefficient Forchheimer_coefficient'
prop_values = '0.1 0.1 0.1 0.1 0.1 0.1'
[]
[]
[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'
nl_rel_tol = 1e-11
nl_abs_tol = 1e-14
[]
# Some basic Postprocessors to visually examine the solution
[Postprocessors]
[inlet-p]
type = SideAverageValue
variable = pressure
boundary = 'left'
[]
[outlet-u]
type = SideIntegralVariablePostprocessor
variable = superficial_vel_x
boundary = 'right'
[]
[]
[Outputs]
exodus = true
[]