Adds VMS-based stabilization to LowMachNavierStokes physics class. More...

#include <low_mach_navier_stokes_braack_stab.h>

Inheritance diagram for GRINS::LowMachNavierStokesBraackStabilization< Viscosity, SpecificHeat, ThermalConductivity >:

Collaboration diagram for GRINS::LowMachNavierStokesBraackStabilization< Viscosity, SpecificHeat, ThermalConductivity >:

[legend]

Public Member Functions
	LowMachNavierStokesBraackStabilization (const GRINS::PhysicsName &physics_name, const GetPot &input)

virtual	~LowMachNavierStokesBraackStabilization ()

virtual void	element_time_derivative (bool compute_jacobian, AssemblyContext &context)
	Time dependent part(s) of physics for element interiors. More...

virtual void	mass_residual (bool compute_jacobian, AssemblyContext &context)
	Mass matrix part(s) for element interiors. All boundary terms lie within the time_derivative part. More...

Public Member Functions inherited from GRINS::LowMachNavierStokesStabilizationBase< Viscosity, SpecificHeat, ThermalConductivity >
	LowMachNavierStokesStabilizationBase (const GRINS::PhysicsName &physics_name, const GetPot &input)

virtual	~LowMachNavierStokesStabilizationBase ()

virtual void	init_context (AssemblyContext &context)
	Initialize context for added physics variables. More...

libMesh::Real	compute_res_continuity_steady (AssemblyContext &context, unsigned int qp) const

libMesh::Real	compute_res_continuity_transient (AssemblyContext &context, unsigned int qp) const

libMesh::RealGradient	compute_res_momentum_steady (AssemblyContext &context, unsigned int qp) const

libMesh::RealGradient	compute_res_momentum_transient (AssemblyContext &context, unsigned int qp) const

libMesh::Real	compute_res_energy_steady (AssemblyContext &context, unsigned int qp) const

libMesh::Real	compute_res_energy_transient (AssemblyContext &context, unsigned int qp) const

Public Member Functions inherited from GRINS::LowMachNavierStokesBase< Viscosity, SpecificHeat, ThermalConductivity >
	LowMachNavierStokesBase (const PhysicsName &physics_name, const std::string &core_physics_name, const GetPot &input)

	~LowMachNavierStokesBase ()

virtual void	set_time_evolving_vars (libMesh::FEMSystem *system)
	Sets velocity variables to be time-evolving. More...

libMesh::Real	T (const libMesh::Point &p, const AssemblyContext &c) const

libMesh::Real	rho (libMesh::Real T, libMesh::Real p0) const

libMesh::Real	d_rho_dT (libMesh::Real T, libMesh::Real p0) const

libMesh::Real	get_p0_steady (const AssemblyContext &c, unsigned int qp) const

libMesh::Real	get_p0_steady_side (const AssemblyContext &c, unsigned int qp) const

libMesh::Real	get_p0_steady (const AssemblyContext &c, const libMesh::Point &p) const

libMesh::Real	get_p0_transient (AssemblyContext &c, unsigned int qp) const

virtual void	register_parameter (const std::string &param_name, libMesh::ParameterMultiAccessor< libMesh::Number > &param_pointer) const
	Each subclass will register its copy of an independent. More...

Public Member Functions inherited from GRINS::Physics
	Physics (const GRINS::PhysicsName &physics_name, const GetPot &input)

virtual	~Physics ()

virtual void	init_variables (libMesh::FEMSystem *)
	Initialize variables for this physics. More...

virtual bool	enabled_on_elem (const libMesh::Elem *elem)
	Find if current physics is active on supplied element. More...

void	set_is_steady (bool is_steady)
	Sets whether this physics is to be solved with a steady solver or not. More...

bool	is_steady () const
	Returns whether or not this physics is being solved with a steady solver. More...

virtual void	auxiliary_init (MultiphysicsSystem &system)
	Any auxillary initialization a Physics class may need. More...

virtual void	register_postprocessing_vars (const GetPot &input, PostProcessedQuantities< libMesh::Real > &postprocessing)
	Register name of postprocessed quantity with PostProcessedQuantities. More...

virtual void	preassembly (MultiphysicsSystem &)
	Perform any necessary setup before element assembly begins. More...

virtual void	reinit (MultiphysicsSystem &)
	Any reinitialization that needs to be done. More...

virtual void	side_time_derivative (bool, AssemblyContext &)
	Time dependent part(s) of physics for boundaries of elements on the domain boundary. More...

virtual void	nonlocal_time_derivative (bool, AssemblyContext &)
	Time dependent part(s) of physics for scalar variables. More...

virtual void	element_constraint (bool, AssemblyContext &)
	Constraint part(s) of physics for element interiors. More...

virtual void	side_constraint (bool, AssemblyContext &)
	Constraint part(s) of physics for boundaries of elements on the domain boundary. More...

virtual void	nonlocal_constraint (bool, AssemblyContext &)
	Constraint part(s) of physics for scalar variables. More...

virtual void	damping_residual (bool, AssemblyContext &)
	Damping matrix part(s) for element interiors. All boundary terms lie within the time_derivative part. More...

virtual void	nonlocal_mass_residual (bool, AssemblyContext &)
	Mass matrix part(s) for scalar variables. More...

void	init_ics (libMesh::FEMSystem *system, libMesh::CompositeFunction< libMesh::Number > &all_ics)

virtual void	compute_element_time_derivative_cache (AssemblyContext &)

virtual void	compute_side_time_derivative_cache (AssemblyContext &)

virtual void	compute_nonlocal_time_derivative_cache (AssemblyContext &)

virtual void	compute_element_constraint_cache (AssemblyContext &)

virtual void	compute_side_constraint_cache (AssemblyContext &)

virtual void	compute_nonlocal_constraint_cache (AssemblyContext &)

virtual void	compute_damping_residual_cache (AssemblyContext &)

virtual void	compute_mass_residual_cache (AssemblyContext &)

virtual void	compute_nonlocal_mass_residual_cache (AssemblyContext &)

virtual void	compute_postprocessed_quantity (unsigned int quantity_index, const AssemblyContext &context, const libMesh::Point &point, libMesh::Real &value)

ICHandlingBase *	get_ic_handler ()

Public Member Functions inherited from GRINS::ParameterUser
	ParameterUser (const std::string &user_name)

virtual	~ParameterUser ()

virtual void	set_parameter (libMesh::Number &param_variable, const GetPot &input, const std::string &param_name, libMesh::Number param_default)
	Each subclass can simultaneously read a parameter value from. More...

virtual void	set_parameter (libMesh::ParsedFunction< libMesh::Number, libMesh::Gradient > &func, const GetPot &input, const std::string &func_param_name, const std::string &param_default)
	Each subclass can simultaneously read a parsed function from. More...

virtual void	set_parameter (libMesh::ParsedFEMFunction< libMesh::Number > &func, const GetPot &input, const std::string &func_param_name, const std::string &param_default)
	Each subclass can simultaneously read a parsed function from. More...

virtual void	move_parameter (const libMesh::Number &old_parameter, libMesh::Number &new_parameter)
	When cloning an object, we need to update parameter pointers. More...

virtual void	move_parameter (const libMesh::ParsedFunction< libMesh::Number, libMesh::Gradient > &old_func, libMesh::ParsedFunction< libMesh::Number, libMesh::Gradient > &new_func)
	When cloning an object, we need to update parameter pointers. More...

virtual void	move_parameter (const libMesh::ParsedFEMFunction< libMesh::Number > &old_func, libMesh::ParsedFEMFunction< libMesh::Number > &new_func)
	When cloning an object, we need to update parameter pointers. More...

Protected Member Functions
void	assemble_continuity_time_deriv (bool compute_jacobian, AssemblyContext &context)

void	assemble_momentum_time_deriv (bool compute_jacobian, AssemblyContext &context)

void	assemble_energy_time_deriv (bool compute_jacobian, AssemblyContext &context)

void	assemble_continuity_mass_residual (bool compute_jacobian, AssemblyContext &context)

void	assemble_momentum_mass_residual (bool compute_jacobian, AssemblyContext &context)

void	assemble_energy_mass_residual (bool compute_jacobian, AssemblyContext &context)

Protected Member Functions inherited from GRINS::Physics
libMesh::UniquePtr< libMesh::FEGenericBase< libMesh::Real > >	build_new_fe (const libMesh::Elem elem, const libMesh::FEGenericBase< libMesh::Real > fe, const libMesh::Point p)

void	parse_enabled_subdomains (const GetPot &input, const std::string &physics_name)

void	check_var_subdomain_consistency (const FEVariablesBase &var) const
	Check that var is enabled on at least the subdomains this Physics is. More...

Private Member Functions
	LowMachNavierStokesBraackStabilization ()

Additional Inherited Members
Static Public Member Functions inherited from GRINS::Physics
static void	set_is_axisymmetric (bool is_axisymmetric)
	Set whether we should treat the problem as axisymmetric. More...

static bool	is_axisymmetric ()

Static Public Attributes inherited from GRINS::ParameterUser
static std::string	zero_vector_function = std::string("{0}")
	A parseable function string with LIBMESH_DIM components, all 0. More...

Protected Attributes inherited from GRINS::LowMachNavierStokesStabilizationBase< Viscosity, SpecificHeat, ThermalConductivity >
LowMachNavierStokesStabilizationHelper	_stab_helper

Protected Attributes inherited from GRINS::LowMachNavierStokesBase< Viscosity, SpecificHeat, ThermalConductivity >
libMesh::Number	_p0_over_R
	Thermodynamic pressure divided by gas constant. More...

libMesh::Number	_p0

libMesh::Number	_R

libMesh::Number	_T0

VelocityVariable &	_flow_vars

PressureFEVariable &	_press_var

PrimitiveTempFEVariables &	_temp_vars

ThermoPressureVariable *	_p0_var

Viscosity	_mu
	Viscosity object. More...

SpecificHeat	_cp
	Specific heat object. More...

ThermalConductivity	_k
	Thermal conductivity object. More...

libMesh::Point	_g
	Gravity vector. More...

bool	_enable_thermo_press_calc
	Flag to enable thermodynamic pressure calculation. More...

Protected Attributes inherited from GRINS::Physics
const PhysicsName	_physics_name
	Name of the physics object. Used for reading physics specific inputs. More...

GRINS::ICHandlingBase *	_ic_handler

std::set< libMesh::subdomain_id_type >	_enabled_subdomains
	Subdomains on which the current Physics class is enabled. More...

Static Protected Attributes inherited from GRINS::Physics
static bool	_is_steady = false
	Caches whether or not the solver that's being used is steady or not. More...

static bool	_is_axisymmetric = false
	Caches whether we are solving an axisymmetric problem or not. More...

Detailed Description

template<class Viscosity, class SpecificHeat, class ThermalConductivity>
class GRINS::LowMachNavierStokesBraackStabilization< Viscosity, SpecificHeat, ThermalConductivity >

Adds VMS-based stabilization to LowMachNavierStokes physics class.

Definition at line 36 of file low_mach_navier_stokes_braack_stab.h.

Constructor & Destructor Documentation

template<class Mu , class SH , class TC >

GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::LowMachNavierStokesBraackStabilization	(	const GRINS::PhysicsName &	physics_name,
		const GetPot &	input
	)

Definition at line 42 of file low_mach_navier_stokes_braack_stab.C.

     : LowMachNavierStokesStabilizationBase<Mu,SH,TC>(physics_name,input)
   {
     return;
   }

template<class Mu , class SH , class TC >

GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::~LowMachNavierStokesBraackStabilization ( )

virtual

Definition at line 50 of file low_mach_navier_stokes_braack_stab.C.

   {
     return;
   }

template<class Viscosity , class SpecificHeat , class ThermalConductivity >

GRINS::LowMachNavierStokesBraackStabilization< Viscosity, SpecificHeat, ThermalConductivity >::LowMachNavierStokesBraackStabilization ( )

private

Member Function Documentation

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::assemble_continuity_mass_residual	(	bool	compute_jacobian,
		AssemblyContext &	context
	)

protected

Definition at line 299 of file low_mach_navier_stokes_braack_stab.C.

   {
     // The number of local degrees of freedom in each variable.
     const unsigned int n_p_dofs = context.get_dof_indices(this->_press_var.p()).size();
 
     // Element Jacobian * quadrature weights for interior integration.
     const std::vector<libMesh::Real> &JxW =
       context.get_element_fe(this->_flow_vars.u())->get_JxW();
 
     // The pressure shape functions at interior quadrature points.
     const std::vector<std::vector<libMesh::RealGradient> >& p_dphi =
       context.get_element_fe(this->_press_var.p())->get_dphi();
 
     libMesh::DenseSubVector<libMesh::Number> &Fp = context.get_elem_residual(this->_press_var.p()); // R_{p}
 
     unsigned int n_qpoints = context.get_element_qrule().n_points();
 
     for (unsigned int qp=0; qp != n_qpoints; qp++)
       {
         libMesh::FEBase* fe = context.get_element_fe(this->_flow_vars.u());
 
         libMesh::RealGradient g = this->_stab_helper.compute_g( fe, context, qp );
         libMesh::RealTensor G = this->_stab_helper.compute_G( fe, context, qp );
 
         libMesh::Real T = context.fixed_interior_value( this->_temp_vars.T(), qp );
         libMesh::Real rho = this->rho( T, this->get_p0_transient( context, qp ) );
 
         libMesh::Real mu = this->_mu(T);
         libMesh::Real k = this->_k(T);
         libMesh::Real cp = this->_cp(T);
 
         libMesh::RealGradient U( context.fixed_interior_value( this->_flow_vars.u(), qp ),
                                  context.fixed_interior_value( this->_flow_vars.v(), qp ) );
         if( this->_flow_vars.dim() == 3 )
           U(2) = context.fixed_interior_value( this->_flow_vars.w(), qp );
 
         libMesh::Real tau_M = this->_stab_helper.compute_tau_momentum( context, qp, g, G, rho, U, mu, false );
         libMesh::RealGradient RM_t = this->compute_res_momentum_transient( context, qp );
 
         libMesh::Real tau_E = this->_stab_helper.compute_tau_energy( context, qp, g, G, rho, U, k, cp, false );
         libMesh::Real RE_t = this->compute_res_energy_transient( context, qp );
 
         // Now a loop over the pressure degrees of freedom.  This
         // computes the contributions of the continuity equation.
         for (unsigned int i=0; i != n_p_dofs; i++)
           {
             Fp(i) += ( tau_M*RM_t*p_dphi[i][qp]
                        +  tau_E*RE_t*(U*p_dphi[i][qp])/T
                        )*JxW[qp];
           }
       }
 
     return;
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::assemble_continuity_time_deriv	(	bool	compute_jacobian,
		AssemblyContext &	context
	)

protected

Definition at line 75 of file low_mach_navier_stokes_braack_stab.C.

   {
     // The number of local degrees of freedom in each variable.
     const unsigned int n_p_dofs = context.get_dof_indices(this->_press_var.p()).size();
 
     // Element Jacobian * quadrature weights for interior integration.
     const std::vector<libMesh::Real> &JxW =
       context.get_element_fe(this->_flow_vars.u())->get_JxW();
 
     // The pressure shape functions at interior quadrature points.
     const std::vector<std::vector<libMesh::RealGradient> >& p_dphi =
       context.get_element_fe(this->_press_var.p())->get_dphi();
 
     libMesh::DenseSubVector<libMesh::Number> &Fp = context.get_elem_residual(this->_press_var.p()); // R_{p}
 
     unsigned int n_qpoints = context.get_element_qrule().n_points();
 
     for (unsigned int qp=0; qp != n_qpoints; qp++)
       {
         libMesh::FEBase* fe = context.get_element_fe(this->_flow_vars.u());
 
         libMesh::RealGradient g = this->_stab_helper.compute_g( fe, context, qp );
         libMesh::RealTensor G = this->_stab_helper.compute_G( fe, context, qp );
 
         libMesh::Real T = context.interior_value( this->_temp_vars.T(), qp );
         libMesh::Real rho = this->rho( T, this->get_p0_steady( context, qp ) );
 
         libMesh::Real mu = this->_mu(T);
         libMesh::Real k = this->_k(T);
         libMesh::Real cp = this->_cp(T);
 
         libMesh::RealGradient U( context.interior_value( this->_flow_vars.u(), qp ),
                                  context.interior_value( this->_flow_vars.v(), qp ) );
         if( this->_flow_vars.dim() == 3 )
           U(2) = context.interior_value( this->_flow_vars.w(), qp ); // w
 
         libMesh::Real tau_M = this->_stab_helper.compute_tau_momentum( context, qp, g, G, rho, U, mu, this->_is_steady );
         libMesh::Real tau_E = this->_stab_helper.compute_tau_energy( context, qp, g, G, rho, U, k, cp, this->_is_steady );
 
         libMesh::RealGradient RM_s = this->compute_res_momentum_steady( context, qp );
         libMesh::Real RE_s = this->compute_res_energy_steady( context, qp );
 
         // Now a loop over the pressure degrees of freedom.  This
         // computes the contributions of the continuity equation.
         for (unsigned int i=0; i != n_p_dofs; i++)
           {
             Fp(i) += ( tau_M*RM_s*p_dphi[i][qp]
                        + tau_E*RE_s*(U*p_dphi[i][qp])/T )*JxW[qp];
           }
 
       }
 
     return;
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::assemble_energy_mass_residual	(	bool	compute_jacobian,
		AssemblyContext &	context
	)

protected

Definition at line 459 of file low_mach_navier_stokes_braack_stab.C.

   {
     // The number of local degrees of freedom in each variable.
     const unsigned int n_T_dofs = context.get_dof_indices(this->_temp_vars.T()).size();
 
     // Element Jacobian * quadrature weights for interior integration.
     const std::vector<libMesh::Real> &JxW =
       context.get_element_fe(this->_temp_vars.T())->get_JxW();
 
     // The temperature shape functions gradients at interior quadrature points.
     const std::vector<std::vector<libMesh::RealGradient> >& T_gradphi =
       context.get_element_fe(this->_temp_vars.T())->get_dphi();
 
     const std::vector<std::vector<libMesh::RealTensor> >& T_hessphi =
       context.get_element_fe(this->_temp_vars.T())->get_d2phi();
 
     libMesh::DenseSubVector<libMesh::Number> &FT = context.get_elem_residual(this->_temp_vars.T()); // R_{T}
 
     unsigned int n_qpoints = context.get_element_qrule().n_points();
 
     for (unsigned int qp=0; qp != n_qpoints; qp++)
       {
         libMesh::Number u, v;
         u = context.fixed_interior_value(this->_flow_vars.u(), qp);
         v = context.fixed_interior_value(this->_flow_vars.v(), qp);
 
         libMesh::Gradient grad_T = context.fixed_interior_gradient(this->_temp_vars.T(), qp);
 
         libMesh::NumberVectorValue U(u,v);
         if (this->_flow_vars.dim() == 3)
           U(2) = context.fixed_interior_value(this->_flow_vars.w(), qp); // w
 
         libMesh::Real T = context.fixed_interior_value( this->_temp_vars.T(), qp );
         libMesh::Real rho = this->rho( T, this->get_p0_transient( context, qp ) );
 
         libMesh::Real k = this->_k(T);
         libMesh::Real cp = this->_cp(T);
 
         libMesh::Number rho_cp = rho*cp;
 
         libMesh::FEBase* fe = context.get_element_fe(this->_flow_vars.u());
 
         libMesh::RealGradient g = this->_stab_helper.compute_g( fe, context, qp );
         libMesh::RealTensor G = this->_stab_helper.compute_G( fe, context, qp );
 
         libMesh::Real tau_E = this->_stab_helper.compute_tau_energy( context, qp, g, G, rho, U, k, cp, false );
 
         libMesh::Real RE_t = this->compute_res_energy_transient( context, qp );
 
         for (unsigned int i=0; i != n_T_dofs; i++)
           {
             FT(i) += ( rho_cp*tau_E*RE_t*U*T_gradphi[i][qp]
                        + tau_E*RE_t*k*(T_hessphi[i][qp](0,0) + T_hessphi[i][qp](1,1) + T_hessphi[i][qp](2,2))
                        )*JxW[qp];
           }
 
       }
 
     return;
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::assemble_energy_time_deriv	(	bool	compute_jacobian,
		AssemblyContext &	context
	)

protected

Definition at line 236 of file low_mach_navier_stokes_braack_stab.C.

   {
     // The number of local degrees of freedom in each variable.
     const unsigned int n_T_dofs = context.get_dof_indices(this->_temp_vars.T()).size();
 
     // Element Jacobian * quadrature weights for interior integration.
     const std::vector<libMesh::Real> &JxW =
       context.get_element_fe(this->_temp_vars.T())->get_JxW();
 
     // The temperature shape functions gradients at interior quadrature points.
     const std::vector<std::vector<libMesh::RealGradient> >& T_gradphi =
       context.get_element_fe(this->_temp_vars.T())->get_dphi();
 
     const std::vector<std::vector<libMesh::RealTensor> >& T_hessphi =
       context.get_element_fe(this->_temp_vars.T())->get_d2phi();
 
     libMesh::DenseSubVector<libMesh::Number> &FT = context.get_elem_residual(this->_temp_vars.T()); // R_{T}
 
     unsigned int n_qpoints = context.get_element_qrule().n_points();
 
     for (unsigned int qp=0; qp != n_qpoints; qp++)
       {
         libMesh::Number u, v;
         u = context.interior_value(this->_flow_vars.u(), qp);
         v = context.interior_value(this->_flow_vars.v(), qp);
 
         libMesh::Gradient grad_T = context.interior_gradient(this->_temp_vars.T(), qp);
 
         libMesh::NumberVectorValue U(u,v);
         if (this->_flow_vars.dim() == 3)
           U(2) = context.interior_value(this->_flow_vars.w(), qp);
 
         libMesh::Real T = context.interior_value( this->_temp_vars.T(), qp );
         libMesh::Real rho = this->rho( T, this->get_p0_steady( context, qp ) );
 
         libMesh::Real k = this->_k(T);
         libMesh::Real cp = this->_cp(T);
 
         libMesh::Number rho_cp = rho*this->_cp(T);
 
         libMesh::FEBase* fe = context.get_element_fe(this->_flow_vars.u());
 
         libMesh::RealGradient g = this->_stab_helper.compute_g( fe, context, qp );
         libMesh::RealTensor G = this->_stab_helper.compute_G( fe, context, qp );
 
         libMesh::Real tau_E = this->_stab_helper.compute_tau_energy( context, qp, g, G, rho, U, k, cp, this->_is_steady );
 
         libMesh::Real RE_s = this->compute_res_energy_steady( context, qp );
 
         for (unsigned int i=0; i != n_T_dofs; i++)
           {
             FT(i) += ( rho_cp*tau_E*RE_s*U*T_gradphi[i][qp]
                        + tau_E*RE_s*k*(T_hessphi[i][qp](0,0) + T_hessphi[i][qp](1,1) + T_hessphi[i][qp](2,2) )
                        )*JxW[qp];
           }
 
       }
 
     return;
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::assemble_momentum_mass_residual	(	bool	compute_jacobian,
		AssemblyContext &	context
	)

protected

Definition at line 356 of file low_mach_navier_stokes_braack_stab.C.

   {
     // The number of local degrees of freedom in each variable.
     const unsigned int n_u_dofs = context.get_dof_indices(this->_flow_vars.u()).size();
 
     // Check number of dofs is same for _flow_vars.u(), v_var and w_var.
     libmesh_assert (n_u_dofs == context.get_dof_indices(this->_flow_vars.v()).size());
     if (this->_flow_vars.dim() == 3)
       libmesh_assert (n_u_dofs == context.get_dof_indices(this->_flow_vars.w()).size());
 
     // Element Jacobian * quadrature weights for interior integration.
     const std::vector<libMesh::Real> &JxW =
       context.get_element_fe(this->_flow_vars.u())->get_JxW();
 
     // The velocity shape function gradients at interior quadrature points.
     const std::vector<std::vector<libMesh::RealGradient> >& u_gradphi =
       context.get_element_fe(this->_flow_vars.u())->get_dphi();
 
     const std::vector<std::vector<libMesh::RealTensor> >& u_hessphi =
       context.get_element_fe(this->_flow_vars.u())->get_d2phi();
 
     libMesh::DenseSubVector<libMesh::Number> &Fu = context.get_elem_residual(this->_flow_vars.u()); // R_{u}
     libMesh::DenseSubVector<libMesh::Number> &Fv = context.get_elem_residual(this->_flow_vars.v()); // R_{v}
     libMesh::DenseSubVector<libMesh::Real>* Fw = NULL;
 
     if( this->_flow_vars.dim() == 3 )
       {
         Fw  = &context.get_elem_residual(this->_flow_vars.w()); // R_{w}
       }
 
     unsigned int n_qpoints = context.get_element_qrule().n_points();
     for (unsigned int qp=0; qp != n_qpoints; qp++)
       {
         libMesh::Real T = context.fixed_interior_value( this->_temp_vars.T(), qp );
         libMesh::Real rho = this->rho( T, this->get_p0_transient( context, qp ) );
 
         libMesh::Real mu = this->_mu(T);
 
         libMesh::RealGradient U( context.fixed_interior_value(this->_flow_vars.u(), qp),
                                  context.fixed_interior_value(this->_flow_vars.v(), qp) );
 
         libMesh::RealGradient grad_u = context.fixed_interior_gradient(this->_flow_vars.u(), qp);
         libMesh::RealGradient grad_v = context.fixed_interior_gradient(this->_flow_vars.v(), qp);
         libMesh::RealGradient grad_w;
 
         if( this->_flow_vars.dim() == 3 )
           {
             U(2) = context.fixed_interior_value(this->_flow_vars.w(), qp);
             grad_w = context.fixed_interior_gradient(this->_flow_vars.w(), qp);
           }
 
         libMesh::FEBase* fe = context.get_element_fe(this->_flow_vars.u());
 
         libMesh::RealGradient g = this->_stab_helper.compute_g( fe, context, qp );
         libMesh::RealTensor G = this->_stab_helper.compute_G( fe, context, qp );
 
         libMesh::Real tau_M = this->_stab_helper.compute_tau_momentum( context, qp, g, G, rho, U, mu, false );
         libMesh::Real tau_C = this->_stab_helper.compute_tau_continuity( tau_M, g );
 
         libMesh::Real RC_t = this->compute_res_continuity_transient( context, qp );
         libMesh::RealGradient RM_t = this->compute_res_momentum_transient( context, qp );
 
         for (unsigned int i=0; i != n_u_dofs; i++)
           {
             Fu(i) += (  tau_C*RC_t*u_gradphi[i][qp](0)
                         + tau_M*RM_t(0)*rho*U*u_gradphi[i][qp]
                         + mu*tau_M*RM_t(0)*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,1)
                                             + u_hessphi[i][qp](0,0) + u_hessphi[i][qp](0,1)
                                             - 2.0/3.0*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,0)) )
                         )*JxW[qp];
 
             Fv(i) += ( tau_C*RC_t*u_gradphi[i][qp](1)
                        + tau_M*RM_t(1)*rho*U*u_gradphi[i][qp]
                        + mu*tau_M*RM_t(1)*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,1)
                                            + u_hessphi[i][qp](1,0) + u_hessphi[i][qp](1,1)
                                            - 2.0/3.0*(u_hessphi[i][qp](0,1) + u_hessphi[i][qp](1,1)) )
                        )*JxW[qp];
 
             if( this->_flow_vars.dim() == 3 )
               {
                 Fu(i) -= mu*tau_M*RM_t(0)*(u_hessphi[i][qp](2,2) + u_hessphi[i][qp](0,2)
                                            - 2.0/3.0*u_hessphi[i][qp](2,0))*JxW[qp];
 
                 Fv(i) -= mu*tau_M*RM_t(1)*(u_hessphi[i][qp](2,2) + u_hessphi[i][qp](1,2)
                                            - 2.0/3.0*u_hessphi[i][qp](2,1))*JxW[qp];
 
                 (*Fw)(i) -= ( tau_C*RC_t*u_gradphi[i][qp](2)
                               + tau_M*RM_t(2)*rho*U*u_gradphi[i][qp]
                               + mu*tau_M*RM_t(2)*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,1) + u_hessphi[i][qp](2,2)
                                                   + u_hessphi[i][qp](2,0) + u_hessphi[i][qp](2,1) + u_hessphi[i][qp](2,2)
                                                   - 2.0/3.0*(u_hessphi[i][qp](0,2) + u_hessphi[i][qp](1,2)
                                                              + u_hessphi[i][qp](2,2))
                                                   )
                               )*JxW[qp];
               }
           }
 
       }
     return;
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::assemble_momentum_time_deriv	(	bool	compute_jacobian,
		AssemblyContext &	context
	)

protected

Definition at line 132 of file low_mach_navier_stokes_braack_stab.C.

   {
     // The number of local degrees of freedom in each variable.
     const unsigned int n_u_dofs = context.get_dof_indices(this->_flow_vars.u()).size();
 
     // Check number of dofs is same for _flow_vars.u(), v_var and w_var.
     libmesh_assert (n_u_dofs == context.get_dof_indices(this->_flow_vars.v()).size());
     if (this->_flow_vars.dim() == 3)
       libmesh_assert (n_u_dofs == context.get_dof_indices(this->_flow_vars.w()).size());
 
     // Element Jacobian * quadrature weights for interior integration.
     const std::vector<libMesh::Real> &JxW =
       context.get_element_fe(this->_flow_vars.u())->get_JxW();
 
     // The velocity shape function gradients at interior quadrature points.
     const std::vector<std::vector<libMesh::RealGradient> >& u_gradphi =
       context.get_element_fe(this->_flow_vars.u())->get_dphi();
 
     const std::vector<std::vector<libMesh::RealTensor> >& u_hessphi =
       context.get_element_fe(this->_flow_vars.u())->get_d2phi();
 
     libMesh::DenseSubVector<libMesh::Number> &Fu = context.get_elem_residual(this->_flow_vars.u()); // R_{u}
     libMesh::DenseSubVector<libMesh::Number> &Fv = context.get_elem_residual(this->_flow_vars.v()); // R_{v}
     libMesh::DenseSubVector<libMesh::Real>* Fw = NULL;
 
     if( this->_flow_vars.dim() == 3 )
       {
         Fw  = &context.get_elem_residual(this->_flow_vars.w()); // R_{w}
       }
 
     unsigned int n_qpoints = context.get_element_qrule().n_points();
 
     for (unsigned int qp=0; qp != n_qpoints; qp++)
       {
         libMesh::Real T = context.interior_value( this->_temp_vars.T(), qp );
         libMesh::Real rho = this->rho( T, this->get_p0_steady( context, qp ) );
 
         libMesh::Real mu = this->_mu(T);
 
         libMesh::RealGradient U( context.interior_value(this->_flow_vars.u(), qp),
                                  context.interior_value(this->_flow_vars.v(), qp) );
 
         libMesh::RealGradient grad_u = context.interior_gradient(this->_flow_vars.u(), qp);
         libMesh::RealGradient grad_v = context.interior_gradient(this->_flow_vars.v(), qp);
         libMesh::RealGradient grad_w;
 
         if( this->_flow_vars.dim() == 3 )
           {
             U(2) = context.interior_value(this->_flow_vars.w(), qp);
             grad_w = context.interior_gradient(this->_flow_vars.w(), qp);
           }
 
         libMesh::FEBase* fe = context.get_element_fe(this->_flow_vars.u());
 
         libMesh::RealGradient g = this->_stab_helper.compute_g( fe, context, qp );
         libMesh::RealTensor G = this->_stab_helper.compute_G( fe, context, qp );
 
         libMesh::Real tau_M = this->_stab_helper.compute_tau_momentum( context, qp, g, G, rho, U, mu, this->_is_steady );
         libMesh::Real tau_C = this->_stab_helper.compute_tau_continuity( tau_M, g );
 
         libMesh::Real RC_s = this->compute_res_continuity_steady( context, qp );
         libMesh::RealGradient RM_s = this->compute_res_momentum_steady( context, qp );
 
         for (unsigned int i=0; i != n_u_dofs; i++)
           {
             Fu(i) += ( tau_C*RC_s*u_gradphi[i][qp](0)
                        + tau_M*RM_s(0)*rho*U*u_gradphi[i][qp]
                        + mu*tau_M*RM_s(0)*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,1)
                                            + u_hessphi[i][qp](0,0) + u_hessphi[i][qp](0,1)
                                            - 2.0/3.0*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,0)) )
                        )*JxW[qp];
 
             Fv(i) += ( tau_C*RC_s*u_gradphi[i][qp](1)
                        + tau_M*RM_s(1)*rho*U*u_gradphi[i][qp]
                        + mu*tau_M*RM_s(1)*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,1)
                                            + u_hessphi[i][qp](1,0) + u_hessphi[i][qp](1,1)
                                            - 2.0/3.0*(u_hessphi[i][qp](0,1) + u_hessphi[i][qp](1,1)) )
                        )*JxW[qp];
 
             if( this->_flow_vars.dim() == 3 )
               {
                 Fu(i) += mu*tau_M*RM_s(0)*(u_hessphi[i][qp](2,2) + u_hessphi[i][qp](0,2)
                                            - 2.0/3.0*u_hessphi[i][qp](2,0))*JxW[qp];
 
                 Fv(i) += mu*tau_M*RM_s(1)*(u_hessphi[i][qp](2,2) + u_hessphi[i][qp](1,2)
                                            - 2.0/3.0*u_hessphi[i][qp](2,1))*JxW[qp];
 
                 (*Fw)(i) += ( tau_C*RC_s*u_gradphi[i][qp](2)
                               + tau_M*RM_s(2)*rho*U*u_gradphi[i][qp]
                               + mu*tau_M*RM_s(2)*(u_hessphi[i][qp](0,0) + u_hessphi[i][qp](1,1) + u_hessphi[i][qp](2,2)
                                                   + u_hessphi[i][qp](2,0) + u_hessphi[i][qp](2,1) + u_hessphi[i][qp](2,2)
                                                   - 2.0/3.0*(u_hessphi[i][qp](0,2) + u_hessphi[i][qp](1,2)
                                                              + u_hessphi[i][qp](2,2))
                                                   )
                               )*JxW[qp];
               }
           }
 
       }
     return;
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::element_time_derivative	(	bool	,
		AssemblyContext &
	)

virtual

Time dependent part(s) of physics for element interiors.

Reimplemented from GRINS::Physics.

Definition at line 57 of file low_mach_navier_stokes_braack_stab.C.

   {
     this->assemble_continuity_time_deriv( compute_jacobian, context );
     this->assemble_momentum_time_deriv( compute_jacobian, context );
     this->assemble_energy_time_deriv( compute_jacobian, context );
   }

template<class Mu , class SH , class TC >

void GRINS::LowMachNavierStokesBraackStabilization< Mu, SH, TC >::mass_residual	(	bool	,
		AssemblyContext &
	)

virtual

Mass matrix part(s) for element interiors. All boundary terms lie within the time_derivative part.

Reimplemented from GRINS::Physics.

Definition at line 67 of file low_mach_navier_stokes_braack_stab.C.

   {
     this->assemble_continuity_mass_residual( compute_jacobian, context );
     this->assemble_momentum_mass_residual( compute_jacobian, context );
     this->assemble_energy_mass_residual( compute_jacobian, context );
   }

The documentation for this class was generated from the following files:

src/physics/include/grins/low_mach_navier_stokes_braack_stab.h
src/physics/src/low_mach_navier_stokes_braack_stab.C

Public Member Functions

Protected Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

template<class Viscosity, class SpecificHeat, class ThermalConductivity> class GRINS::LowMachNavierStokesBraackStabilization< Viscosity, SpecificHeat, ThermalConductivity >

Constructor & Destructor Documentation

Member Function Documentation

template<class Viscosity, class SpecificHeat, class ThermalConductivity>
class GRINS::LowMachNavierStokesBraackStabilization< Viscosity, SpecificHeat, ThermalConductivity >