GRINS::AxisymmetricHeatTransfer< Conductivity > Class Template Reference

Physics class for Axisymmetric Heat Transfer. More...

#include <axisym_heat_transfer.h>

Inheritance diagram for GRINS::AxisymmetricHeatTransfer< Conductivity >:

Collaboration diagram for GRINS::AxisymmetricHeatTransfer< Conductivity >:

Public Member Functions
	AxisymmetricHeatTransfer (const std::string &physics_name, const GetPot &input)
	~AxisymmetricHeatTransfer ()
virtual void	set_time_evolving_vars (libMesh::FEMSystem *system)
	Sets velocity variables to be time-evolving. More...
virtual void	init_context (AssemblyContext &context)
	Initialize context for added physics variables. More...
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...
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 Attributes
const VelocityVariable &	_flow_vars
const PressureFEVariable &	_press_var
const PrimitiveTempFEVariables &	_temp_vars
libMesh::Number	_rho
	Material parameters, read from input. More...
libMesh::Number	_Cp
Conductivity	_k
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...

Private Member Functions
	AxisymmetricHeatTransfer ()
void	read_input_options (const GetPot &input)
	Read options from GetPot input file. More...

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 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...
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 Conductivity>
class GRINS::AxisymmetricHeatTransfer< Conductivity >

Physics class for Axisymmetric Heat Transfer.

Definition at line 48 of file axisym_heat_transfer.h.

Constructor & Destructor Documentation

template<class Conductivity >

GRINS::AxisymmetricHeatTransfer< Conductivity >::AxisymmetricHeatTransfer	(	const std::string &	physics_name,
		const GetPot &	input
	)

Definition at line 49 of file axisym_heat_transfer.C.

References GRINS::Physics::_ic_handler, and GRINS::AxisymmetricHeatTransfer< Conductivity >::read_input_options().

    : Physics(physics_name, input),
      _flow_vars(GRINSPrivate::VariableWarehouse::get_variable_subclass<VelocityVariable>(VariablesParsing::velocity_variable_name(input,physics_name,VariablesParsing::PHYSICS))),
      _press_var(GRINSPrivate::VariableWarehouse::get_variable_subclass<PressureFEVariable>(VariablesParsing::press_variable_name(input,physics_name,VariablesParsing::PHYSICS))),
      _temp_vars(GRINSPrivate::VariableWarehouse::get_variable_subclass<PrimitiveTempFEVariables>(VariablesParsing::temp_variable_name(input,physics_name,VariablesParsing::PHYSICS))),
      _k(input,MaterialsParsing::material_name(input,PhysicsNaming::axisymmetric_heat_transfer()))
  {
    this->read_input_options(input);

    this->_ic_handler = new GenericICHandler( physics_name, input );
  }

template<class Conductivity >

GRINS::AxisymmetricHeatTransfer< Conductivity >::~AxisymmetricHeatTransfer ( )

inline

Definition at line 54 of file axisym_heat_transfer.h.

{};

template<class Conductivity >

GRINS::AxisymmetricHeatTransfer< Conductivity >::AxisymmetricHeatTransfer ( )

private

Member Function Documentation

template<class Conductivity >

void GRINS::AxisymmetricHeatTransfer< Conductivity >::element_time_derivative ( bool  , AssemblyContext &    )

virtual

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

Reimplemented from GRINS::Physics.

Definition at line 96 of file axisym_heat_transfer.C.

  {
    // The number of local degrees of freedom in each variable.
    const unsigned int n_T_dofs = context.get_dof_indices(_temp_vars.T()).size();
    const unsigned int n_u_dofs = context.get_dof_indices(_flow_vars.u()).size();

    //TODO: check n_T_dofs is same as n_u_dofs, n_v_dofs, n_w_dofs

    // We get some references to cell-specific data that
    // will be used to assemble the linear system.

    // Element Jacobian * quadrature weights for interior integration.
    const std::vector<libMesh::Real> &JxW =
      context.get_element_fe(_temp_vars.T())->get_JxW();

    // The temperature shape functions at interior quadrature points.
    const std::vector<std::vector<libMesh::Real> >& T_phi =
      context.get_element_fe(_temp_vars.T())->get_phi();

    // The velocity shape functions at interior quadrature points.
    const std::vector<std::vector<libMesh::Real> >& vel_phi =
      context.get_element_fe(_flow_vars.u())->get_phi();

    // The temperature shape function gradients (in global coords.)
    // at interior quadrature points.
    const std::vector<std::vector<libMesh::RealGradient> >& T_gradphi =
      context.get_element_fe(_temp_vars.T())->get_dphi();

    // Physical location of the quadrature points
    const std::vector<libMesh::Point>& u_qpoint =
      context.get_element_fe(_flow_vars.u())->get_xyz();

    // The subvectors and submatrices we need to fill:
    libMesh::DenseSubVector<libMesh::Number> &FT = context.get_elem_residual(_temp_vars.T()); // R_{T}

    libMesh::DenseSubMatrix<libMesh::Number> &KTT = context.get_elem_jacobian(_temp_vars.T(), _temp_vars.T()); // R_{T},{T}

    libMesh::DenseSubMatrix<libMesh::Number> &KTr = context.get_elem_jacobian(_temp_vars.T(), _flow_vars.u()); // R_{T},{r}
    libMesh::DenseSubMatrix<libMesh::Number> &KTz = context.get_elem_jacobian(_temp_vars.T(), _flow_vars.v()); // R_{T},{z}


    // Now we will build the element Jacobian and residual.
    // Constructing the residual requires the solution and its
    // gradient from the previous timestep.  This must be
    // calculated at each quadrature point by summing the
    // solution degree-of-freedom values by the appropriate
    // weight functions.
    unsigned int n_qpoints = context.get_element_qrule().n_points();

    for (unsigned int qp=0; qp != n_qpoints; qp++)
      {
        const libMesh::Number r = u_qpoint[qp](0);

        // Compute the solution & its gradient at the old Newton iterate.
        libMesh::Number u_r, u_z;
        u_r = context.interior_value(_flow_vars.u(), qp);
        u_z = context.interior_value(_flow_vars.v(), qp);

        libMesh::Gradient grad_T;
        grad_T = context.interior_gradient(_temp_vars.T(), qp);

        libMesh::NumberVectorValue U (u_r,u_z);

        libMesh::Number k = this->_k( context, qp );

        // FIXME - once we have T-dependent k, we'll need its
        // derivatives in Jacobians
        // libMesh::Number dk_dT = this->_k.deriv( T );

        // First, an i-loop over the  degrees of freedom.
        for (unsigned int i=0; i != n_T_dofs; i++)
          {
            FT(i) += JxW[qp]*r*
              (-_rho*_Cp*T_phi[i][qp]*(U*grad_T)    // convection term
               -k*(T_gradphi[i][qp]*grad_T) );  // diffusion term

            if (compute_jacobian)
              {
                libmesh_assert (context.get_elem_solution_derivative() == 1.0);

                for (unsigned int j=0; j != n_T_dofs; j++)
                  {
                    // TODO: precompute some terms like:
                    //   _rho*_Cp*T_phi[i][qp]*(vel_phi[j][qp]*T_grad_phi[j][qp])

                    KTT(i,j) += JxW[qp] * context.get_elem_solution_derivative() *r*
                      (-_rho*_Cp*T_phi[i][qp]*(U*T_gradphi[j][qp])  // convection term
                       -k*(T_gradphi[i][qp]*T_gradphi[j][qp])); // diffusion term
                  } // end of the inner dof (j) loop

#if 0
                if( dk_dT != 0.0 )
                  {
                    for (unsigned int j=0; j != n_T_dofs; j++)
                      {
                        // TODO: precompute some terms like:
                        KTT(i,j) -= JxW[qp] * context.get_elem_solution_derivative() *r*( dk_dT*T_phi[j][qp]*T_gradphi[i][qp]*grad_T );
                      }
                  }
#endif

                // Matrix contributions for the Tu, Tv and Tw couplings (n_T_dofs same as n_u_dofs, n_v_dofs and n_w_dofs)
                for (unsigned int j=0; j != n_u_dofs; j++)
                  {
                    KTr(i,j) += JxW[qp] * context.get_elem_solution_derivative() *r*(-_rho*_Cp*T_phi[i][qp]*(vel_phi[j][qp]*grad_T(0)));
                    KTz(i,j) += JxW[qp] * context.get_elem_solution_derivative() *r*(-_rho*_Cp*T_phi[i][qp]*(vel_phi[j][qp]*grad_T(1)));
                  } // end of the inner dof (j) loop

              } // end - if (compute_jacobian && context.get_elem_solution_derivative())

          } // end of the outer dof (i) loop
      } // end of the quadrature point (qp) loop
  }

template<class Conductivity >

void GRINS::AxisymmetricHeatTransfer< Conductivity >::init_context ( AssemblyContext &  context )

virtual

Initialize context for added physics variables.

Reimplemented from GRINS::Physics.

Definition at line 78 of file axisym_heat_transfer.C.

  {
    // We should prerequest all the data
    // we will need to build the linear system
    // or evaluate a quantity of interest.
    context.get_element_fe(_temp_vars.T())->get_JxW();
    context.get_element_fe(_temp_vars.T())->get_phi();
    context.get_element_fe(_temp_vars.T())->get_dphi();
    context.get_element_fe(_temp_vars.T())->get_xyz();

    context.get_side_fe(_temp_vars.T())->get_JxW();
    context.get_side_fe(_temp_vars.T())->get_phi();
    context.get_side_fe(_temp_vars.T())->get_dphi();
    context.get_side_fe(_temp_vars.T())->get_xyz();
  }

template<class Conductivity >

void GRINS::AxisymmetricHeatTransfer< Conductivity >::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 212 of file axisym_heat_transfer.C.

  {
    // First we get some references to cell-specific data that
    // will be used to assemble the linear system.

    // Element Jacobian * quadrature weights for interior integration
    const std::vector<libMesh::Real> &JxW =
      context.get_element_fe(_temp_vars.T())->get_JxW();

    // The shape functions at interior quadrature points.
    const std::vector<std::vector<libMesh::Real> >& phi =
      context.get_element_fe(_temp_vars.T())->get_phi();

    // The number of local degrees of freedom in each variable
    const unsigned int n_T_dofs = context.get_dof_indices(_temp_vars.T()).size();

    // Physical location of the quadrature points
    const std::vector<libMesh::Point>& u_qpoint =
      context.get_element_fe(_flow_vars.u())->get_xyz();

    // The subvectors and submatrices we need to fill:
    libMesh::DenseSubVector<libMesh::Real> &F =
      context.get_elem_residual(_temp_vars.T());

    libMesh::DenseSubMatrix<libMesh::Real> &M =
      context.get_elem_jacobian(_temp_vars.T(), _temp_vars.T());

    unsigned int n_qpoints = context.get_element_qrule().n_points();

    for (unsigned int qp = 0; qp != n_qpoints; ++qp)
      {
        const libMesh::Number r = u_qpoint[qp](0);

        // For the mass residual, we need to be a little careful.
        // The time integrator is handling the time-discretization
        // for us so we need to supply M(u_fixed)*u' for the residual.
        // u_fixed will be given by the fixed_interior_value function
        // while u' will be given by the interior_rate function.
        libMesh::Real T_dot;
        context.interior_rate(_temp_vars.T(), qp, T_dot);

        for (unsigned int i = 0; i != n_T_dofs; ++i)
          {
            F(i) -= JxW[qp]*r*(_rho*_Cp*T_dot*phi[i][qp] );

            if( compute_jacobian )
              {
                for (unsigned int j=0; j != n_T_dofs; j++)
                  {
                    // We're assuming rho, cp are constant w.r.t. T here.
                    M(i,j) -= JxW[qp] * context.get_elem_solution_rate_derivative() *r*_rho*_Cp*phi[j][qp]*phi[i][qp] ;
                  }
              }// End of check on Jacobian

          } // End of element dof loop

      } // End of the quadrature point loop
  }

template<class Conductivity >

void GRINS::AxisymmetricHeatTransfer< Conductivity >::read_input_options ( const GetPot &  input )

private

Read options from GetPot input file.

Definition at line 63 of file axisym_heat_transfer.C.

References GRINS::PhysicsNaming::axisymmetric_heat_transfer(), GRINS::MaterialsParsing::read_density(), and GRINS::MaterialsParsing::read_specific_heat().

Referenced by GRINS::AxisymmetricHeatTransfer< Conductivity >::AxisymmetricHeatTransfer().

  {
    MaterialsParsing::read_density( PhysicsNaming::axisymmetric_heat_transfer(), input, (*this), this->_rho );

    MaterialsParsing::read_specific_heat( PhysicsNaming::axisymmetric_heat_transfer(), input, (*this), this->_Cp );
  }

template<class Conductivity >

void GRINS::AxisymmetricHeatTransfer< Conductivity >::register_parameter ( const std::string &  param_name, libMesh::ParameterMultiAccessor< libMesh::Number > &  param_pointer  ) const

virtual

Each subclass will register its copy of an independent.

Reimplemented from GRINS::ParameterUser.

Definition at line 273 of file axisym_heat_transfer.C.

References GRINS::ParameterUser::register_parameter().

  {
    ParameterUser::register_parameter(param_name, param_pointer);
    _k.register_parameter(param_name, param_pointer);
  }

template<class Conductivity >

void GRINS::AxisymmetricHeatTransfer< Conductivity >::set_time_evolving_vars ( libMesh::FEMSystem *  system )

virtual

Sets velocity variables to be time-evolving.

Reimplemented from GRINS::Physics.

Definition at line 71 of file axisym_heat_transfer.C.

  {
    // Tell the system to march temperature forward in time
    system->time_evolving(this->_temp_vars.T(), 1);
  }

Member Data Documentation

template<class Conductivity >

libMesh::Number GRINS::AxisymmetricHeatTransfer< Conductivity >::_Cp

protected

Definition at line 91 of file axisym_heat_transfer.h.

template<class Conductivity >

const VelocityVariable& GRINS::AxisymmetricHeatTransfer< Conductivity >::_flow_vars

protected

Definition at line 82 of file axisym_heat_transfer.h.

template<class Conductivity >

Conductivity GRINS::AxisymmetricHeatTransfer< Conductivity >::_k

protected

Definition at line 93 of file axisym_heat_transfer.h.

template<class Conductivity >

const PressureFEVariable& GRINS::AxisymmetricHeatTransfer< Conductivity >::_press_var

protected

Definition at line 83 of file axisym_heat_transfer.h.

template<class Conductivity >

libMesh::Number GRINS::AxisymmetricHeatTransfer< Conductivity >::_rho

protected

Material parameters, read from input.

Todo:

Need to generalize material parameters.

Right now they are assumed constant

Todo:

Shouldn't this rho be the same as the one in the flow? Need to figure out how to have those shared

Definition at line 91 of file axisym_heat_transfer.h.

template<class Conductivity >

const PrimitiveTempFEVariables& GRINS::AxisymmetricHeatTransfer< Conductivity >::_temp_vars

protected

Definition at line 84 of file axisym_heat_transfer.h.

---

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

• src/physics/include/grins/axisym_heat_transfer.h
• src/physics/src/axisym_heat_transfer.C