From 5e77e9f77cad8a74cdbcd2524dd57dd9e9fe05e3 Mon Sep 17 00:00:00 2001 From: Ling Zou Date: Fri, 24 Apr 2026 14:32:42 -0500 Subject: [PATCH] Improve Jacobian implementation, PSPG/SUPG stabilization parameters, update test results Closes #32835 --- .../PINSFEFluidTemperatureTimeDerivative.h | 3 +++ .../PINSFEFluidVelocityTimeDerivative.h | 9 +++++-- .../src/kernels/INSFEFluidEnergyKernel.C | 22 ++++++++++++++++++ .../PINSFEFluidTemperatureTimeDerivative.C | 20 ++++++++++++++++ .../PINSFEFluidVelocityTimeDerivative.C | 19 +++++++++++++++ .../src/materials/INSFEMaterial.C | 8 +++++++ .../ins/lid_driven/gold/lid_driven_md_out.e | Bin 207584 -> 211672 bytes .../gold/expansion-channel-slip-wall_out.e | Bin 245284 -> 251716 bytes 8 files changed, 79 insertions(+), 2 deletions(-) diff --git a/modules/navier_stokes/include/kernels/PINSFEFluidTemperatureTimeDerivative.h b/modules/navier_stokes/include/kernels/PINSFEFluidTemperatureTimeDerivative.h index 9f220d8c73a9..05f6a26de574 100644 --- a/modules/navier_stokes/include/kernels/PINSFEFluidTemperatureTimeDerivative.h +++ b/modules/navier_stokes/include/kernels/PINSFEFluidTemperatureTimeDerivative.h @@ -27,10 +27,13 @@ class PINSFEFluidTemperatureTimeDerivative : public TimeDerivative protected: virtual Real computeQpResidual() override; virtual Real computeQpJacobian() override; + virtual Real computeQpOffDiagJacobian(unsigned int jvar) override; bool _conservative_form; const VariableValue & _pressure; const VariableValue & _pressure_dot; + const VariableValue & _d_pressure_dot_du; + unsigned int _pressure_var_number; const VariableValue & _porosity; const MaterialProperty & _rho; const MaterialProperty & _cp; diff --git a/modules/navier_stokes/include/kernels/PINSFEFluidVelocityTimeDerivative.h b/modules/navier_stokes/include/kernels/PINSFEFluidVelocityTimeDerivative.h index 7b4a2f284076..32a259394167 100644 --- a/modules/navier_stokes/include/kernels/PINSFEFluidVelocityTimeDerivative.h +++ b/modules/navier_stokes/include/kernels/PINSFEFluidVelocityTimeDerivative.h @@ -25,14 +25,19 @@ class PINSFEFluidVelocityTimeDerivative : public TimeDerivative PINSFEFluidVelocityTimeDerivative(const InputParameters & parameters); protected: - virtual Real computeQpResidual(); - virtual Real computeQpJacobian(); + virtual Real computeQpResidual() override; + virtual Real computeQpJacobian() override; + virtual Real computeQpOffDiagJacobian(unsigned int jvar) override; bool _conservative_form; const VariableValue & _pressure; const VariableValue & _temperature; const VariableValue & _temperature_dot; const VariableValue & _pressure_dot; + const VariableValue & _d_pressure_dot_du; + const VariableValue & _d_temperature_dot_du; + unsigned int _pressure_var_number; + unsigned int _temperature_var_number; const MaterialProperty & _rho; const SinglePhaseFluidProperties & _eos; }; diff --git a/modules/navier_stokes/src/kernels/INSFEFluidEnergyKernel.C b/modules/navier_stokes/src/kernels/INSFEFluidEnergyKernel.C index cd347c9c4def..997e6a425f1e 100644 --- a/modules/navier_stokes/src/kernels/INSFEFluidEnergyKernel.C +++ b/modules/navier_stokes/src/kernels/INSFEFluidEnergyKernel.C @@ -138,6 +138,28 @@ INSFEFluidEnergyKernel::computeQpOffDiagJacobian(unsigned int jvar) Real jac = 0.; switch (m) { + case 0: + { + // pressure variable: differentiate convection and SUPG terms through EOS (rho, h) + Real porosity = _has_porosity ? _porosity[_qp] : 1.0; + Real rho, drho_dp, drho_dT; + _eos.rho_from_p_T(_pressure[_qp], _u[_qp], rho, drho_dp, drho_dT); + if (_conservative_form) + { + Real h, dh_dp, dh_dT; + _eos.h_from_p_T(_pressure[_qp], _u[_qp], h, dh_dp, dh_dT); + jac -= (drho_dp * h + rho * dh_dp) * _phi[_j][_qp] * vec_vel * _grad_test[_i][_qp]; + } + else + jac += drho_dp * _cp[_qp] * _phi[_j][_qp] * vec_vel * _grad_u[_qp] * _test[_i][_qp]; + // SUPG contribution (strong form uses non-conservative convection regardless of form) + Real transient_supg = _bTransient ? porosity * drho_dp * _cp[_qp] * _u_dot[_qp] : 0.0; + Real convection_supg = drho_dp * _cp[_qp] * vec_vel * _grad_u[_qp]; + jac += _phi[_j][_qp] * _taue[_qp] * _vel_elem * _grad_test[_i][_qp] * + (transient_supg + convection_supg); + break; + } + case 1: case 2: case 3: diff --git a/modules/navier_stokes/src/kernels/PINSFEFluidTemperatureTimeDerivative.C b/modules/navier_stokes/src/kernels/PINSFEFluidTemperatureTimeDerivative.C index 6128191123ba..257815b84acb 100644 --- a/modules/navier_stokes/src/kernels/PINSFEFluidTemperatureTimeDerivative.C +++ b/modules/navier_stokes/src/kernels/PINSFEFluidTemperatureTimeDerivative.C @@ -35,6 +35,8 @@ PINSFEFluidTemperatureTimeDerivative::PINSFEFluidTemperatureTimeDerivative( _conservative_form(getParam("conservative_form")), _pressure(coupledValue("pressure")), _pressure_dot(coupledDot("pressure")), + _d_pressure_dot_du(coupledDotDu("pressure")), + _pressure_var_number(coupled("pressure")), _porosity(coupledValue("porosity")), _rho(getMaterialProperty("rho_fluid")), _cp(getMaterialProperty("cp_fluid")), @@ -66,8 +68,26 @@ PINSFEFluidTemperatureTimeDerivative::computeQpJacobian() Real rho, drho_dp, drho_dT; _eos.rho_from_p_T(_pressure[_qp], _u[_qp], rho, drho_dp, drho_dT); Real drho_dt = drho_dT * _u_dot[_qp] + drho_dp * _pressure_dot[_qp]; + // d(u)/dT = phi_j contribution jac += _porosity[_qp] * _cp[_qp] * _phi[_j][_qp] * drho_dt * _test[_i][_qp]; + // d(drho_dt)/dT = drho_dT * d(T_dot)/dT_j contribution + jac += _porosity[_qp] * _cp[_qp] * _u[_qp] * drho_dT * _du_dot_du[_qp] * _phi[_j][_qp] * + _test[_i][_qp]; } return jac; } + +Real +PINSFEFluidTemperatureTimeDerivative::computeQpOffDiagJacobian(unsigned int jvar) +{ + if (_conservative_form && jvar == _pressure_var_number) + { + Real rho, drho_dp, drho_dT; + _eos.rho_from_p_T(_pressure[_qp], _u[_qp], rho, drho_dp, drho_dT); + // d(drho_dt)/dp = drho_dp * d(p_dot)/dp_j contribution from the conservative term + return _porosity[_qp] * _cp[_qp] * _u[_qp] * drho_dp * _d_pressure_dot_du[_qp] * _phi[_j][_qp] * + _test[_i][_qp]; + } + return 0.0; +} diff --git a/modules/navier_stokes/src/kernels/PINSFEFluidVelocityTimeDerivative.C b/modules/navier_stokes/src/kernels/PINSFEFluidVelocityTimeDerivative.C index b0af358f81ec..7783e0ad04b4 100644 --- a/modules/navier_stokes/src/kernels/PINSFEFluidVelocityTimeDerivative.C +++ b/modules/navier_stokes/src/kernels/PINSFEFluidVelocityTimeDerivative.C @@ -37,6 +37,10 @@ PINSFEFluidVelocityTimeDerivative::PINSFEFluidVelocityTimeDerivative( _temperature(coupledValue("temperature")), _temperature_dot(coupledDot("temperature")), _pressure_dot(coupledDot("pressure")), + _d_pressure_dot_du(coupledDotDu("pressure")), + _d_temperature_dot_du(coupledDotDu("temperature")), + _pressure_var_number(coupled("pressure")), + _temperature_var_number(coupled("temperature")), _rho(getMaterialProperty("rho_fluid")), _eos(getUserObject("eos")) { @@ -71,3 +75,18 @@ PINSFEFluidVelocityTimeDerivative::computeQpJacobian() return jac; } + +Real +PINSFEFluidVelocityTimeDerivative::computeQpOffDiagJacobian(unsigned int jvar) +{ + if (_conservative_form) + { + Real rho, drho_dp, drho_dT; + _eos.rho_from_p_T(_pressure[_qp], _temperature[_qp], rho, drho_dp, drho_dT); + if (jvar == _pressure_var_number) + return _u[_qp] * drho_dp * _d_pressure_dot_du[_qp] * _phi[_j][_qp] * _test[_i][_qp]; + else if (jvar == _temperature_var_number) + return _u[_qp] * drho_dT * _d_temperature_dot_du[_qp] * _phi[_j][_qp] * _test[_i][_qp]; + } + return 0.0; +} diff --git a/modules/navier_stokes/src/materials/INSFEMaterial.C b/modules/navier_stokes/src/materials/INSFEMaterial.C index cf2797c0460a..5067cc555fc6 100644 --- a/modules/navier_stokes/src/materials/INSFEMaterial.C +++ b/modules/navier_stokes/src/materials/INSFEMaterial.C @@ -212,4 +212,12 @@ INSFEMaterial::computeTau() _tauc[_qp] = 1. / std::sqrt(sqrt_term_pspg); _taum[_qp] = 1. / std::sqrt(sqrt_term_supg + visc_term * visc_term); _taue[_qp] = 1. / std::sqrt(sqrt_term_supg + diff_term * diff_term); + + // add lower and upper bounds + Real tau_base = std::min(_hsupg[_qp] / (2 * _scaling_velocity), _dt / 2); + _tauc[_qp] = std::clamp(_tauc[_qp], 0.005 * tau_base, tau_base); + + tau_base = std::min(_hsupg[_qp] / (2 * _vel_mag), _dt / 2); + _taum[_qp] = std::clamp(_taum[_qp], 0.01 * tau_base, 2.0 * tau_base); + _taue[_qp] = std::clamp(_taue[_qp], 0.01 * tau_base, 2.0 * tau_base); } diff --git a/modules/navier_stokes/test/tests/finite_element/ins/lid_driven/gold/lid_driven_md_out.e b/modules/navier_stokes/test/tests/finite_element/ins/lid_driven/gold/lid_driven_md_out.e index 3302fc6ce35e71de8210480b22de3dd0fe9d4e54..f31e341dad106eb3fafdebb1c1d377ad6be107bf 100644 GIT binary patch delta 58711 zcmdqI2Urx%y6X-WZU=A9yz_bHo=yyV zLF~t#V4}ovE(zj3mljv8J~4axa%?qWG9AZkh-BDzAojq%Kk**+V+mPq9LpwrxK*$U zA|JLs#362LY$?IbLv9_WwlzHVu>Xcjmt>IOHI{RQ-Lww>@=5l*O 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