Boundary condition information bundle. More...

#include <boundary_condition.hpp>

Public Member Functions
	BoundaryCondition (GeneralCoefficient coef, const std::optional< int > component, const mfem::ParFiniteElementSpace &space, const std::set< int > &attrs)
	Constructor for setting up a boundary condition using a set of attributes. More...

	BoundaryCondition (GeneralCoefficient coef, const std::optional< int > component, const mfem::ParFiniteElementSpace &space, const mfem::Array< int > &true_dofs)
	Minimal constructor for setting the true DOFs directly. More...

template<typename Tag >
bool	tagEquals (const Tag tag) const
	Determines whether a boundary condition is associated with a tag. More...

template<typename Tag >
void	setTag (const Tag tag)
	Sets the tag for the BC. More...

const mfem::Array< int > &	markers () const
	Returns a non-owning reference to the array of boundary attribute markers.

mfem::Array< int > &	markers ()
	Returns a non-owning reference to the array of boundary attribute markers.

const mfem::Array< int > &	getTrueDofList () const
	Returns the DOF indices for an essential boundary condition. More...

const mfem::Array< int > &	getLocalDofList () const
	Returns the DOF indices for an essential boundary condition. More...

void	setDofs (mfem::Vector &state, const double time=0.0) const
	Projects the associated coefficient over a solution vector on the DOFs constrained by the boundary condition. More...

void	apply (mfem::HypreParMatrix &k_mat, mfem::Vector &rhs, mfem::Vector &state) const
	Modify the system of equations \(Ax=b\) by replacing equations that correspond to essential boundary conditions with ones that prescribe the desired values. The rows of the matrix containing essential dofs are set to zero with a one on the diagonal. To preserve symmetry, the off-diagonal entries of associated columns of A are also zeroed out, and b is modified accordingly. This function is equivalent to: More...

Detailed Description

Boundary condition information bundle.

Definition at line 31 of file boundary_condition.hpp.

Constructor & Destructor Documentation

◆ BoundaryCondition() [1/2]

serac::BoundaryCondition::BoundaryCondition	(	GeneralCoefficient	coef,
		const std::optional< int >	component,
		const mfem::ParFiniteElementSpace &	space,
		const std::set< int > &	attrs
	)

Constructor for setting up a boundary condition using a set of attributes.

Parameters

[in]	coef	Either a mfem::Coefficient or mfem::VectorCoefficient representing the BC
[in]	component	The zero-indexed vector component if the BC applies to just one component, should be null for all components
[in]	attrs	The set of boundary condition attributes in the mesh that the BC applies to
[in]	space	The finite element space on which this BC is applied. This is used to calculate the DOFs from the attribute list.

Definition at line 16 of file boundary_condition.cpp.

◆ BoundaryCondition() [2/2]

serac::BoundaryCondition::BoundaryCondition	(	GeneralCoefficient	coef,
		const std::optional< int >	component,
		const mfem::ParFiniteElementSpace &	space,
		const mfem::Array< int > &	true_dofs
	)

Minimal constructor for setting the true DOFs directly.

Parameters

[in]	coef	Either a mfem::Coefficient or mfem::VectorCoefficient representing the BC
[in]	component	The zero-indexed vector component if the BC applies to just one component, should be null for all components
[in]	true_dofs	The vector indices of the relevant DOFs
[in]	space	The finite element space on which this BC is applied.

Definition at line 34 of file boundary_condition.cpp.

Member Function Documentation

◆ apply()

void serac::BoundaryCondition::apply	(	mfem::HypreParMatrix &	k_mat,
		mfem::Vector &	rhs,
		mfem::Vector &	state
	)		const

Modify the system of equations \(Ax=b\) by replacing equations that correspond to essential boundary conditions with ones that prescribe the desired values. The rows of the matrix containing essential dofs are set to zero with a one on the diagonal. To preserve symmetry, the off-diagonal entries of associated columns of A are also zeroed out, and b is modified accordingly. This function is equivalent to:

\[ A = \tilde{A} + A_e (\tilde{A} + A_e) x = b \tilde{A} x = b - A_e x \]

where \( A_e \) contains the eliminated columns of \( A \) for the essential degrees of freedom. Note that these equations only apply to the non-essential dofs. For the essential rows, \( A \) is modified to contain one on the diagonal and the right hand side is modified to contain the essential value originally contained in \( x \). If \( A \) is given as the input k_mat , \( A_e \) is returned in k_mat .

Parameters

[in,out]	k_mat	A stiffness (system) matrix. The rows and cols of the essential dofs will be set to zero with a one on the diagonal after the return of this method.
[in,out]	rhs	The RHS vector for the system. At return, this vector contains \( b - A_e x \).
[in]	state	The state from which the solution DOF values are extracted and used to modify k_mat

Precondition: The input state solution must contain the correct essential DOFs. This can be done by calling the BoundaryCondition::setDofs method.

Definition at line 118 of file boundary_condition.cpp.

◆ getLocalDofList()

const mfem::Array<int>& serac::BoundaryCondition::getLocalDofList ( ) const

inline

Returns the DOF indices for an essential boundary condition.

Returns: A non-owning reference to the array of indices

Note: True and local dofs are described in the MFEM documentation

Definition at line 111 of file boundary_condition.hpp.

◆ getTrueDofList()

const mfem::Array<int>& serac::BoundaryCondition::getTrueDofList ( ) const

inline

Returns the DOF indices for an essential boundary condition.

Returns: A non-owning reference to the array of indices

Note: True and local dofs are described in the MFEM documentation

Definition at line 103 of file boundary_condition.hpp.

◆ setDofs()

void serac::BoundaryCondition::setDofs	(	mfem::Vector &	state,
		const double	time = `0.0`
	)		const

Projects the associated coefficient over a solution vector on the DOFs constrained by the boundary condition.

Parameters

[in]	time	The time at which to project the boundary condition
[in,out]	state	The field to project over

Definition at line 83 of file boundary_condition.cpp.

◆ setTag()

template<typename Tag >

void serac::BoundaryCondition::setTag ( const Tag tag )

inline

Sets the tag for the BC.

Template Parameters

Tag	The template type for the tag (label)

Parameters

[in] tag The new tag

Precondition: Template type "Tag" must be an enumeration

Definition at line 79 of file boundary_condition.hpp.

◆ tagEquals()

template<typename Tag >

bool serac::BoundaryCondition::tagEquals ( const Tag tag ) const

inline

Determines whether a boundary condition is associated with a tag.

Template Parameters

Tag	The type of the tag to compare against

Parameters

[in] tag The tag to compare against

Precondition: Template type "Tag" must be an enumeration

Definition at line 63 of file boundary_condition.hpp.

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

src/serac/physics/boundary_conditions/boundary_condition.hpp
src/serac/physics/boundary_conditions/boundary_condition.cpp

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ BoundaryCondition() [1/2]

◆ BoundaryCondition() [2/2]

Member Function Documentation

◆ apply()

◆ getLocalDofList()

◆ getTrueDofList()

◆ setDofs()

◆ setTag()

◆ tagEquals()