Detailed Description

This element implements the Galerkin discretization of the heat conduction problem

$\rho c_p \frac{\partial T}{\partial t} - \frac{\partial }{\partial x_i}\left( -k_{ij} \frac{\partial T}{\partial x_j} \right) = q_v \mbox{ in } \Omega$

with the flux provided on the boundary with Neumann boundary conditions.

The discrete form is represented as

$M^k \dot{x}^k_t + f(x^k_t) = 0$

, where

$M^k \dot{x}^k_t = \int_{\Omega_e} \phi \rho c_p \dot{x}^k_t$

, and

$f(x^k_t) = \int_{\Omega_e} \frac{\partial \phi}{\partial x_i} k_ij \frac{\partial T}{\partial x_j} - \int_{\partial\Omega_e \cap \partial_N\Omega} \phi q_n - \int_{\Omega_e} \phi q_v$

, where $q_n$ is the boundary normal surface flux on $\partial_N\Omega$ and $q_v$ is the volumetric heat generation.

Definition at line 53 of file heat_conduction_elem_base.h.

#include <heat_conduction_elem_base.h>

Inheritance diagram for MAST::HeatConductionElementBase:

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Collaboration diagram for MAST::HeatConductionElementBase:

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Public Member Functions
	HeatConductionElementBase (MAST::SystemInitialization &sys, const MAST::GeomElem &elem, const MAST::ElementPropertyCardBase &p)
	Constructor. More...

virtual	~HeatConductionElementBase ()

const MAST::ElementPropertyCardBase &	elem_property ()
	returns a constant reference to the finite element object More...

virtual void	internal_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac)
	internal force contribution to system residual More...

virtual void	internal_residual_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f)
	sensitivity of the internal force contribution to system residual More...

virtual void	internal_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f)
	sensitivity of the internal force contribution to system residual More...

void	side_external_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase *> &bc)
	side external force contribution to system residual More...

void	side_external_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase *> &bc)
	sensitivity of the side external force contribution to system residual More...

virtual void	velocity_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac_xdot, RealMatrixX &jac)
	inertial force contribution to system residual More...

virtual void	velocity_residual_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f)
	sensitivity of the internal force contribution to system residual More...

virtual void	velocity_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f)
	sensitivity of the damping force contribution to system residual More...

void	volume_external_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase *> &bc)
	volume external force contribution to system residual More...

void	volume_external_residual_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase *> &bc)
	boundary velocity contribution of volume external force. More...

void	volume_external_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase *> &bc)
	sensitivity of the volume external force contribution to system residual More...

Public Member Functions inherited from MAST::ElementBase
	ElementBase (MAST::SystemInitialization &sys, const MAST::GeomElem &elem)
	The default constructor. More...

virtual	~ElementBase ()
	Default virtual destructor. More...

void	attach_active_solution_function (MAST::FunctionBase &f)
	Attaches the function that represents the system solution. More...

void	detach_active_solution_function ()
	Detaches the function object that may have been attached to the element. More...

const MAST::GeomElem &	elem () const

virtual void	set_acceleration (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as acceleration for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_complex_solution (const ComplexVectorX &vec, bool if_sens=false)
	This provides the complex solution (or its sensitivity if `if_sens` is true.) for frequecy-domain analysis. More...

virtual void	set_perturbed_acceleration (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed acceleration for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_perturbed_solution (const RealVectorX &vec, bool if_sens=false)
	This provides the perturbed solution (or its sensitivity if `if_sens` is true.) for linearized analysis. More...

virtual void	set_perturbed_velocity (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as perturbed velocity for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_solution (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as solution for element level calculations, or its sensitivity if `if_sens` is true. More...

virtual void	set_velocity (const RealVectorX &vec, bool if_sens=false)
	stores `vec` as velocity for element level calculations, or its sensitivity if `if_sens` is true. More...

const RealVectorX &	sol (bool if_sens=false) const

MAST::NonlinearSystem &	system ()

MAST::SystemInitialization &	system_initialization ()

Protected Member Functions
void	_initialize_fem_gradient_operator (const unsigned int qp, const unsigned int dim, const MAST::FEBase &fe, std::vector< MAST::FEMOperatorMatrix > &dBmat)
	For `mass` = true, the FEM operator matrix is initilized to the weak form of the Laplacian $dB[0] = \frac{\partial {\bf N}}{\partial x}$ $dB[1] = \frac{\partial {\bf N}}{\partial y}$ $dB[2] = \frac{\partial {\bf N}}{\partial z}$ . More...

void	_initialize_mass_fem_operator (const unsigned int qp, const MAST::FEBase &fe, MAST::FEMOperatorMatrix &Bmat)
	When `mass` = false, initializes the FEM operator matrix to the shape functions as $B = \left[ \begin{array}{c} {\bf N} \end{array} \right]$ . More...

virtual void	surface_convection_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface flux on element volumetric domain. More...

virtual void	surface_convection_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int s, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface convection. More...

virtual void	surface_convection_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface convection on the element domain. More...

virtual void	surface_convection_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector sensitivity and Jacobian due to surface convection. More...

virtual void	surface_convection_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector sensitivity and Jacobian due to surface convection on element domain. More...

virtual void	surface_flux_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface flux on element volumetric domain. More...

virtual void	surface_flux_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int s, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface flux on element side `s`. More...

virtual void	surface_flux_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector sensitivity due to surface flux on element volumetric domain. More...

virtual void	surface_flux_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector sensitivity and Jacobian due to surface flux on element side `s`. More...

virtual void	surface_flux_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface flux on element volumetric domain. More...

virtual void	surface_radiation_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface flux on element volumetric domain. More...

virtual void	surface_radiation_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, const unsigned int s, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface radiation flux on side s. More...

virtual void	surface_radiation_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to surface radiation flux on element domain. More...

virtual void	surface_radiation_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector sensitivity and Jacobian due to surface radiation flux on element side. More...

virtual void	surface_radiation_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector sensitivity and Jacobian due to surface radiation flux on element domain. More...

virtual void	volume_heat_source_boundary_velocity (const MAST::FunctionBase &p, RealVectorX &f, const unsigned int s, const MAST::FieldFunction< RealVectorX > &vel_f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to volume heat source on element volumetric domain. More...

virtual void	volume_heat_source_residual (bool request_jacobian, RealVectorX &f, RealMatrixX &jac, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to volume heat source. More...

virtual void	volume_heat_source_residual_sensitivity (const MAST::FunctionBase &p, RealVectorX &f, MAST::BoundaryConditionBase &bc)
	Calculates the residual vector and Jacobian due to volume heat source. More...

Protected Attributes
const MAST::ElementPropertyCardBase &	_property
	element property More...

Protected Attributes inherited from MAST::ElementBase
RealVectorX	_accel
	local acceleration More...

RealVectorX	_accel_sens
	local acceleration More...

MAST::FunctionBase *	_active_sol_function
	pointer to the active solution mesh field function. More...

ComplexVectorX	_complex_sol
	local solution used for frequency domain analysis More...

ComplexVectorX	_complex_sol_sens
	local solution used for frequency domain analysis More...

RealVectorX	_delta_accel
	local acceleration More...

RealVectorX	_delta_accel_sens
	local acceleration More...

RealVectorX	_delta_sol
	local solution used for linearized analysis More...

RealVectorX	_delta_sol_sens
	local solution used for linearized analysis More...

RealVectorX	_delta_vel
	local velocity More...

RealVectorX	_delta_vel_sens
	local velocity More...

const MAST::GeomElem &	_elem
	geometric element for which the computations are performed More...

RealVectorX	_sol
	local solution More...

RealVectorX	_sol_sens
	local solution sensitivity More...

MAST::SystemInitialization &	_system
	SystemInitialization object associated with this element. More...

const Real &	_time
	time for which system is being assembled More...

RealVectorX	_vel
	local velocity More...

RealVectorX	_vel_sens
	local velocity More...

Constructor & Destructor Documentation

◆ HeatConductionElementBase()

MAST::HeatConductionElementBase::HeatConductionElementBase	(	MAST::SystemInitialization &	sys,
		const MAST::GeomElem &	elem,
		const MAST::ElementPropertyCardBase &	p
	)

Constructor.

Definition at line 36 of file heat_conduction_elem_base.cpp.

◆ ~HeatConductionElementBase()

MAST::HeatConductionElementBase::~HeatConductionElementBase ( )

virtual

Definition at line 46 of file heat_conduction_elem_base.cpp.

Member Function Documentation

◆ _initialize_fem_gradient_operator()

void MAST::HeatConductionElementBase::_initialize_fem_gradient_operator	(	const unsigned int	qp,
		const unsigned int	dim,
		const MAST::FEBase &	fe,
		std::vector< MAST::FEMOperatorMatrix > &	dBmat
	)

protected

For mass = true, the FEM operator matrix is initilized to the weak form of the Laplacian

$dB[0] = \frac{\partial {\bf N}}{\partial x}$

$dB[1] = \frac{\partial {\bf N}}{\partial y}$

$dB[2] = \frac{\partial {\bf N}}{\partial z}$

.

Definition at line 1880 of file heat_conduction_elem_base.cpp.

◆ _initialize_mass_fem_operator()

void MAST::HeatConductionElementBase::_initialize_mass_fem_operator	(	const unsigned int	qp,
		const MAST::FEBase &	fe,
		MAST::FEMOperatorMatrix &	Bmat
	)

protected

When mass = false, initializes the FEM operator matrix to the shape functions as

$B = \left[ \begin{array}{c} {\bf N} \end{array} \right]$

.

Definition at line 1857 of file heat_conduction_elem_base.cpp.

◆ elem_property()

const MAST::ElementPropertyCardBase& MAST::HeatConductionElementBase::elem_property ( )

inline

returns a constant reference to the finite element object

Definition at line 72 of file heat_conduction_elem_base.h.

◆ internal_residual()

void MAST::HeatConductionElementBase::internal_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac
	)

virtual

internal force contribution to system residual

Definition at line 54 of file heat_conduction_elem_base.cpp.

◆ internal_residual_boundary_velocity()

void MAST::HeatConductionElementBase::internal_residual_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f
	)

virtual

sensitivity of the internal force contribution to system residual

Definition at line 622 of file heat_conduction_elem_base.cpp.

◆ internal_residual_sensitivity()

void MAST::HeatConductionElementBase::internal_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f
	)

virtual

sensitivity of the internal force contribution to system residual

Definition at line 554 of file heat_conduction_elem_base.cpp.

◆ side_external_residual()

void MAST::HeatConductionElementBase::side_external_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase *> &	bc
	)

side external force contribution to system residual

Definition at line 250 of file heat_conduction_elem_base.cpp.

◆ side_external_residual_sensitivity()

void MAST::HeatConductionElementBase::side_external_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase *> &	bc
	)

sensitivity of the side external force contribution to system residual

Definition at line 369 of file heat_conduction_elem_base.cpp.

◆ surface_convection_boundary_velocity()

void MAST::HeatConductionElementBase::surface_convection_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface flux on element volumetric domain.

This is used only for 1D or 2D elements.

Definition at line 1333 of file heat_conduction_elem_base.cpp.

◆ surface_convection_residual() [1/2]

void MAST::HeatConductionElementBase::surface_convection_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		const unsigned int	s,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface convection.

Definition at line 1101 of file heat_conduction_elem_base.cpp.

◆ surface_convection_residual() [2/2]

void MAST::HeatConductionElementBase::surface_convection_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface convection on the element domain.

This is relevant only for 1D and 2D elements.

Definition at line 1162 of file heat_conduction_elem_base.cpp.

◆ surface_convection_residual_sensitivity() [1/2]

void MAST::HeatConductionElementBase::surface_convection_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector sensitivity and Jacobian due to surface convection.

Definition at line 1218 of file heat_conduction_elem_base.cpp.

◆ surface_convection_residual_sensitivity() [2/2]

void MAST::HeatConductionElementBase::surface_convection_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector sensitivity and Jacobian due to surface convection on element domain.

This is relevant only for 1D and 2D elements.

Definition at line 1282 of file heat_conduction_elem_base.cpp.

◆ surface_flux_boundary_velocity()

void MAST::HeatConductionElementBase::surface_flux_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface flux on element volumetric domain.

This is used only for 1D or 2D elements.

Definition at line 1044 of file heat_conduction_elem_base.cpp.

◆ surface_flux_residual() [1/2]

void MAST::HeatConductionElementBase::surface_flux_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		const unsigned int	s,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface flux on element side s.

Definition at line 877 of file heat_conduction_elem_base.cpp.

◆ surface_flux_residual() [2/2]

void MAST::HeatConductionElementBase::surface_flux_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector sensitivity due to surface flux on element volumetric domain.

This is used only for 2D or 3D elements.

Definition at line 921 of file heat_conduction_elem_base.cpp.

◆ surface_flux_residual_sensitivity() [1/2]

void MAST::HeatConductionElementBase::surface_flux_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector sensitivity and Jacobian due to surface flux on element side s.

Definition at line 958 of file heat_conduction_elem_base.cpp.

◆ surface_flux_residual_sensitivity() [2/2]

void MAST::HeatConductionElementBase::surface_flux_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface flux on element volumetric domain.

This is used only for 1D or 2D elements.

Definition at line 1009 of file heat_conduction_elem_base.cpp.

◆ surface_radiation_boundary_velocity()

void MAST::HeatConductionElementBase::surface_radiation_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface flux on element volumetric domain.

This is used only for 1D or 2D elements.

Definition at line 1636 of file heat_conduction_elem_base.cpp.

◆ surface_radiation_residual() [1/2]

void MAST::HeatConductionElementBase::surface_radiation_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		const unsigned int	s,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface radiation flux on side s.

Definition at line 1404 of file heat_conduction_elem_base.cpp.

◆ surface_radiation_residual() [2/2]

void MAST::HeatConductionElementBase::surface_radiation_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to surface radiation flux on element domain.

Definition at line 1467 of file heat_conduction_elem_base.cpp.

◆ surface_radiation_residual_sensitivity() [1/2]

void MAST::HeatConductionElementBase::surface_radiation_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector sensitivity and Jacobian due to surface radiation flux on element side.

Definition at line 1525 of file heat_conduction_elem_base.cpp.

◆ surface_radiation_residual_sensitivity() [2/2]

void MAST::HeatConductionElementBase::surface_radiation_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector sensitivity and Jacobian due to surface radiation flux on element domain.

Definition at line 1589 of file heat_conduction_elem_base.cpp.

◆ velocity_residual()

void MAST::HeatConductionElementBase::velocity_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac_xdot,
		RealMatrixX &	jac
	)

virtual

inertial force contribution to system residual

Definition at line 156 of file heat_conduction_elem_base.cpp.

◆ velocity_residual_boundary_velocity()

void MAST::HeatConductionElementBase::velocity_residual_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f
	)

virtual

sensitivity of the internal force contribution to system residual

Definition at line 783 of file heat_conduction_elem_base.cpp.

◆ velocity_residual_sensitivity()

void MAST::HeatConductionElementBase::velocity_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f
	)

virtual

sensitivity of the damping force contribution to system residual

Definition at line 709 of file heat_conduction_elem_base.cpp.

◆ volume_external_residual()

void MAST::HeatConductionElementBase::volume_external_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase *> &	bc
	)

volume external force contribution to system residual

Definition at line 312 of file heat_conduction_elem_base.cpp.

◆ volume_external_residual_boundary_velocity()

void MAST::HeatConductionElementBase::volume_external_residual_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase *> &	bc
	)

boundary velocity contribution of volume external force.

Definition at line 486 of file heat_conduction_elem_base.cpp.

◆ volume_external_residual_sensitivity()

void MAST::HeatConductionElementBase::volume_external_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase *> &	bc
	)

sensitivity of the volume external force contribution to system residual

Definition at line 429 of file heat_conduction_elem_base.cpp.

◆ volume_heat_source_boundary_velocity()

void MAST::HeatConductionElementBase::volume_heat_source_boundary_velocity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		const unsigned int	s,
		const MAST::FieldFunction< RealVectorX > &	vel_f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to volume heat source on element volumetric domain.

Definition at line 1796 of file heat_conduction_elem_base.cpp.

◆ volume_heat_source_residual()

void MAST::HeatConductionElementBase::volume_heat_source_residual	(	bool	request_jacobian,
		RealVectorX &	f,
		RealMatrixX &	jac,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to volume heat source.

Definition at line 1711 of file heat_conduction_elem_base.cpp.

◆ volume_heat_source_residual_sensitivity()

void MAST::HeatConductionElementBase::volume_heat_source_residual_sensitivity	(	const MAST::FunctionBase &	p,
		RealVectorX &	f,
		MAST::BoundaryConditionBase &	bc
	)

protectedvirtual

Calculates the residual vector and Jacobian due to volume heat source.

Definition at line 1751 of file heat_conduction_elem_base.cpp.

Member Data Documentation

◆ _property

const MAST::ElementPropertyCardBase& MAST::HeatConductionElementBase::_property

protected

element property

Definition at line 387 of file heat_conduction_elem_base.h.

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

/home/travis/build/MASTmultiphysics/mast-multiphysics/src/heat_conduction/heat_conduction_elem_base.h
/home/travis/build/MASTmultiphysics/mast-multiphysics/src/heat_conduction/heat_conduction_elem_base.cpp

Detailed Description

Public Member Functions

Protected Member Functions

Protected Attributes

Constructor & Destructor Documentation

◆ HeatConductionElementBase()

◆ ~HeatConductionElementBase()

Member Function Documentation

◆ _initialize_fem_gradient_operator()

◆ _initialize_mass_fem_operator()

◆ elem_property()

◆ internal_residual()

◆ internal_residual_boundary_velocity()

◆ internal_residual_sensitivity()

◆ side_external_residual()

◆ side_external_residual_sensitivity()

◆ surface_convection_boundary_velocity()

◆ surface_convection_residual() [1/2]

◆ surface_convection_residual() [2/2]

◆ surface_convection_residual_sensitivity() [1/2]

◆ surface_convection_residual_sensitivity() [2/2]

◆ surface_flux_boundary_velocity()

◆ surface_flux_residual() [1/2]

◆ surface_flux_residual() [2/2]

◆ surface_flux_residual_sensitivity() [1/2]

◆ surface_flux_residual_sensitivity() [2/2]

◆ surface_radiation_boundary_velocity()

◆ surface_radiation_residual() [1/2]

◆ surface_radiation_residual() [2/2]

◆ surface_radiation_residual_sensitivity() [1/2]

◆ surface_radiation_residual_sensitivity() [2/2]

◆ velocity_residual()

◆ velocity_residual_boundary_velocity()

◆ velocity_residual_sensitivity()

◆ volume_external_residual()

◆ volume_external_residual_boundary_velocity()

◆ volume_external_residual_sensitivity()

◆ volume_heat_source_boundary_velocity()

◆ volume_heat_source_residual()

◆ volume_heat_source_residual_sensitivity()

Member Data Documentation

◆ _property