SignedDistanceSolver< dim, VectorType > Class Template Reference

Developer Documentation: MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType > Class Template Reference

Developer Documentation

Solver to compute the signed distance from a given level of a level-set field. More...

#include <signed_distance_solver.hpp>

Public Member Functions
	SignedDistanceSolver (std::shared_ptr< dealii::parallel::DistributedTriangulationBase< dim > > background_triangulation, const dealii::FiniteElement< dim > &background_fe, const double p_max_distance, const double p_iso_level, const double p_scaling=1.0, const Verbosity p_verbosity=Verbosity::quiet)
	Constructor.

	SignedDistanceSolver (const dealii::DoFHandler< dim > &background_dof_handler, const double p_max_distance, const double p_iso_level, const double p_scaling=1.0, const Verbosity p_verbosity=Verbosity::quiet)
	Constructor.

void	setup_dofs ()
	Initialize the degrees of freedom and associated memory.

void	set_level_set_from_background_mesh (const dealii::DoFHandler< dim > &background_dof_handler, const VectorType &background_level_set_vector)
	Set the level-set field from the background mesh solver.

void	solve ()
	Solve for the signed distance from the given level of the level-set vector.

VectorType &	get_signed_distance ()
	Get the computed signed distance field.

const VectorType &	get_signed_distance () const
	Get the computed signed distance field.

const dealii::DoFHandler< dim > &	get_dof_handler () const
	Get the DoFHandler used by the signed distance solver.

void	output_interface_reconstruction (const std::string &filename) const
	Output the interface reconstruction used for signed distance computations.

Private Member Functions
void	zero_out_ghost_values () const
	Zero the ghost DoF entries of solution vectors to gain write access to ghost elements.

void	update_ghost_values () const
	Update ghost DoF entries of solution vectors to gain read access to ghost elements.

void	exchange_distance ()
	Exchange the distance field and keep the minimum value across processors with compress(VectorOperation::min).

void	initialize_distance ()
	Initialize the distance vectors to the maximum distance.

void	compute_first_neighbors_distance ()
	Compute brute-force geometric distances between the reconstructed interface and DoFs of intersected cells.

void	compute_second_neighbors_distance ()
	Compute marching-method geometric distances between the reconstructed interface and remaining DoFs.

void	compute_signed_distance_from_distance ()
	Compute signed_distance from the unsigned distance and the sign of the signed-distance entries.

void	compute_cell_wise_volume_correction ()
	Compute the cell-wise volume correction matching the volume enclosed by the given level of the level-set field in each cell.

void	conserve_global_volume ()
	Correct the global volume to match the volume enclosed by the given level of the level-set field.

void	set_face_opposite_dofs_map ()
	Set the map of local ids of opposite DoFs for each face.

void	set_face_dofs_map ()
	Set the map of local ids of face DoFs for each face.

void	get_face_opposite_dofs (unsigned int local_face_id, std::vector< unsigned int > &local_opposite_dofs) const
	Return the local ids of DoFs opposite to a given face.

void	get_face_local_dofs (unsigned int local_face_id, std::vector< unsigned int > &local_dofs) const
	Return the local ids of the DoFs located on a given face.

void	get_face_transformation_jacobian (const dealii::DerivativeForm< 1, dim, dim > &cell_transformation_jac, const unsigned int local_face_id, dealii::LAPACKFullMatrix< double > &face_transformation_jac) const
	Return the face transformation Jacobian.

dealii::Point< dim >	transform_ref_face_point_to_ref_cell (const dealii::Point< dim - 1 > &x_ref_face, const unsigned int local_face_id) const
	Transform a point from a reference face to the reference cell.

void	compute_residual (const dealii::Tensor< 1, dim > &x_n_to_x_I_real, const dealii::Tensor< 1, dim > &distance_gradient, const dealii::LAPACKFullMatrix< double > &transformation_jac, dealii::Tensor< 1, dim - 1 > &residual_ref) const
	Compute the residual of the distance minimization problem in the reference face space.

dealii::Tensor< 1, dim >	transform_ref_face_correction_to_ref_cell (const dealii::Vector< double > &correction_ref_face, const unsigned int local_face_id) const
	Transform a Newton correction from the reference face to the reference cell.

void	compute_analytical_jacobian (const dealii::Tensor< 1, dim > &x_n_to_x_I_real_p1, const dealii::LAPACKFullMatrix< double > &transformation_jacobian, const std::vector< double > &face_local_dof_values, dealii::LAPACKFullMatrix< double > &jacobian_matrix)
	Compute the analytical Jacobian of the distance minimization problem in the reference face space.

double	compute_distance (const dealii::Tensor< 1, dim > &x_n_to_x_I_real, const double distance) const
	Compute the propagated distance d(x_I) = d(x_n) + \|\|x_I - x_n\|\|.

Private Attributes
bool	is_external_dof_handler = false

std::unique_ptr< dealii::FiniteElement< dim > >	fe
	Finite element discretizing the signed distance problem.

std::unique_ptr< dealii::DoFHandler< dim > >	owned_dof_handler
	DoFHandler describing the signed distance problem.

const dealii::DoFHandler< dim > *	dof_handler = nullptr
	Pointer to the DoFHandler describing the signed distance problem (can be fed from external)

std::unique_ptr< dealii::MappingQ< dim > >	mapping
	dealii::Mapping between the real and reference spaces.

const double	max_distance
	Maximum redistancing distance.

const double	iso_level
	Iso-level describing the interface from which the signed distance is computed.

const double	scaling
	Scaling factor applied to the input level-set field.

Verbosity	verbosity
	Verbosity level.

dealii::ConditionalOStream	pcout
	Parallel output stream.

dealii::IndexSet	locally_owned_dofs
	Set of locally owned DoFs.

dealii::IndexSet	locally_relevant_dofs
	Set of locally relevant DoFs.

dealii::IndexSet	locally_active_dofs
	Set of locally active DoFs.

VectorType	level_set
	Level-set field coming from the background solver.

VectorType	signed_distance
	Solution vector of the signed distance without ghost values.

VectorType	signed_distance_with_ghost
	Solution vector of the signed distance with ghost values.

VectorType	distance
	Solution vector of the unsigned distance without ghost values.

VectorType	distance_with_ghost
	Solution vector of the unsigned distance with ghost values.

VectorType	volume_correction
	Correction applied to match the cell-wise volume enclosed by the level set.

std::map< dealii::types::global_cell_index, std::vector< dealii::Point< dim > > >	interface_reconstruction_vertices

std::map< dealii::types::global_cell_index, std::vector< dealii::CellData< dim==1 ? 1 :dim - 1 > > >	interface_reconstruction_cells

std::set< dealii::types::global_dof_index >	intersected_dofs
	Set of DoFs belonging to intersected cells.

std::map< unsigned int, std::vector< unsigned int > >	face_opposite_dofs_map
	Map from face ids to local ids of opposite DoFs.

std::map< unsigned int, std::vector< unsigned int > >	face_dofs_map
	Map from face ids to local ids of face DoFs.

std::unique_ptr< dealii::AffineConstraints< double > >	constraints
	Hanging node constraints.

Detailed Description

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>
class MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >

Solver to compute the signed distance from a given level of a level-set field.

It is based on the geometric mass-preserving redistancing scheme proposed by Ausas, Dari and Buscaglia (2011).

Template Parameters

dim	An integer that denotes the dimension of the space in which the problem is solved.
VectorType	The vector type of the level-set vector.

Constructor & Destructor Documentation

◆ SignedDistanceSolver() [1/2]

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::SignedDistanceSolver	(	std::shared_ptr< dealii::parallel::DistributedTriangulationBase< dim > >	background_triangulation,
		const dealii::FiniteElement< dim > &	background_fe,
		const double	p_max_distance,
		const double	p_iso_level,
		const double	p_scaling = `1.0`,
		const Verbosity	p_verbosity = `Verbosity::quiet`
	)

Constructor.

Parameters

[in]	background_triangulation	Shared pointer to the triangulation of the domain.
[in]	background_fe	Reference to the finite element discretizing the domain.
[in]	p_max_distance	Maximum reinitialization distance value.
[in]	p_iso_level	Iso-level before scaling from which the signed distance is computed.
[in]	p_scaling	Scaling factor applied to the input level-set field.
[in]	p_verbosity	Verbosity level.

◆ SignedDistanceSolver() [2/2]

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::SignedDistanceSolver	(	const dealii::DoFHandler< dim > &	background_dof_handler,
		const double	p_max_distance,
		const double	p_iso_level,
		const double	p_scaling = `1.0`,
		const Verbosity	p_verbosity = `Verbosity::quiet`
	)

Constructor.

Parameters

[in]	background_dof_handler	Reference to the DoFHandler of the domain.
[in]	p_max_distance	Maximum reinitialization distance value.
[in]	p_iso_level	Iso-level before scaling from which the signed distance is computed.
[in]	p_scaling	Scaling factor applied to the input level-set field.
[in]	p_verbosity	Verbosity level.

Member Function Documentation

◆ compute_analytical_jacobian()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_analytical_jacobian	(	const dealii::Tensor< 1, dim > &	x_n_to_x_I_real_p1,
		const dealii::LAPACKFullMatrix< double > &	transformation_jacobian,
		const std::vector< double > &	face_local_dof_values,
		dealii::LAPACKFullMatrix< double > &	jacobian_matrix
	)

inlineprivate

Compute the analytical Jacobian of the distance minimization problem in the reference face space.

Parameters

[in]	x_n_to_x_I_real_p1	Vector from x_n to x_I at the current Newton iterate in real space.
[in]	transformation_jacobian	Face transformation Jacobian.
[in]	face_local_dof_values	Values of the DoFs on the face.
[out]	jacobian_matrix	Jacobian matrix of the minimization problem.

◆ compute_cell_wise_volume_correction()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_cell_wise_volume_correction ( )

private

Compute the cell-wise volume correction matching the volume enclosed by the given level of the level-set field in each cell.

◆ compute_distance()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

double MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_distance	(	const dealii::Tensor< 1, dim > &	x_n_to_x_I_real,
		const double	distance
	)		const

inlineprivate

Compute the propagated distance d(x_I) = d(x_n) + ||x_I - x_n||.

Parameters

[in]	x_n_to_x_I_real	Vector from x_n to x_I in real space.
[in]	distance	Distance value at x_n.

Returns: Distance between x_I and the interface.

◆ compute_first_neighbors_distance()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_first_neighbors_distance ( )

private

Compute brute-force geometric distances between the reconstructed interface and DoFs of intersected cells.

◆ compute_residual()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_residual	(	const dealii::Tensor< 1, dim > &	x_n_to_x_I_real,
		const dealii::Tensor< 1, dim > &	distance_gradient,
		const dealii::LAPACKFullMatrix< double > &	transformation_jac,
		dealii::Tensor< 1, dim - 1 > &	residual_ref
	)		const

inlineprivate

Compute the residual of the distance minimization problem in the reference face space.

Parameters

[in]	x_n_to_x_I_real	Vector from x_n to x_I in real space.
[in]	distance_gradient	Gradient of the distance at x_n.
[in]	transformation_jac	Transformation Jacobian of the face.
[out]	residual_ref	Residual in reference face space.

◆ compute_second_neighbors_distance()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_second_neighbors_distance ( )

private

Compute marching-method geometric distances between the reconstructed interface and remaining DoFs.

◆ compute_signed_distance_from_distance()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::compute_signed_distance_from_distance ( )

private

Compute signed_distance from the unsigned distance and the sign of the signed-distance entries.

◆ conserve_global_volume()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::conserve_global_volume ( )

private

Correct the global volume to match the volume enclosed by the given level of the level-set field.

◆ exchange_distance()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::exchange_distance ( )

private

Exchange the distance field and keep the minimum value across processors with compress(VectorOperation::min).

◆ get_dof_handler()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

const dealii::DoFHandler< dim > & MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::get_dof_handler ( ) const

inline

Get the DoFHandler used by the signed distance solver.

Returns: Constant reference to the solver DoFHandler.

◆ get_face_local_dofs()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::get_face_local_dofs	(	unsigned int	local_face_id,
		std::vector< unsigned int > &	local_dofs
	)		const

inlineprivate

Return the local ids of the DoFs located on a given face.

Parameters

[in]	local_face_id	Local id of the face in the cell.
[out]	local_dofs	Vector containing the local ids of the face DoFs.

◆ get_face_opposite_dofs()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::get_face_opposite_dofs	(	unsigned int	local_face_id,
		std::vector< unsigned int > &	local_opposite_dofs
	)		const

inlineprivate

Return the local ids of DoFs opposite to a given face.

Parameters

[in]	local_face_id	Local id of the face in the cell.
[out]	local_opposite_dofs	Vector containing the local ids of the opposite DoFs.

◆ get_face_transformation_jacobian()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::get_face_transformation_jacobian	(	const dealii::DerivativeForm< 1, dim, dim > &	cell_transformation_jac,
		const unsigned int	local_face_id,
		dealii::LAPACKFullMatrix< double > &	face_transformation_jac
	)		const

inlineprivate

Return the face transformation Jacobian.

This is required because the distance minimization problem is solved in the reference face space.

Parameters

[in]	cell_transformation_jac	Cell transformation Jacobian.
[in]	local_face_id	Local id of the face.
[out]	face_transformation_jac	Face transformation Jacobian.

◆ get_signed_distance() [1/2]

template<int dim, typename VectorType >

VectorType & MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::get_signed_distance ( )

Get the computed signed distance field.

Returns: Reference to the vector storing the computed signed distance values.

◆ get_signed_distance() [2/2]

template<int dim, typename VectorType >

const VectorType & MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::get_signed_distance ( ) const

Get the computed signed distance field.

Returns: Reference to the vector storing the computed signed distance values.

◆ initialize_distance()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::initialize_distance ( )

private

Initialize the distance vectors to the maximum distance.

◆ output_interface_reconstruction()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::output_interface_reconstruction ( const std::string & filename ) const

Output the interface reconstruction used for signed distance computations.

Parameters

[in] filename Name of the output file.

◆ set_face_dofs_map()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::set_face_dofs_map ( )

inlineprivate

Set the map of local ids of face DoFs for each face.

◆ set_face_opposite_dofs_map()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::set_face_opposite_dofs_map ( )

inlineprivate

Set the map of local ids of opposite DoFs for each face.

◆ set_level_set_from_background_mesh()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::set_level_set_from_background_mesh	(	const dealii::DoFHandler< dim > &	background_dof_handler,
		const VectorType &	background_level_set_vector
	)

Set the level-set field from the background mesh solver.

Parameters

[in]	background_dof_handler	DoFHandler corresponding to the level-set field solver.
[in]	background_level_set_vector	Level-set solution vector from the background solver.

◆ setup_dofs()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::setup_dofs ( )

Initialize the degrees of freedom and associated memory.

◆ solve()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::solve ( )

Solve for the signed distance from the given level of the level-set vector.

◆ transform_ref_face_correction_to_ref_cell()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

Tensor< 1, dim > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::transform_ref_face_correction_to_ref_cell	(	const dealii::Vector< double > &	correction_ref_face,
		const unsigned int	local_face_id
	)		const

inlineprivate

Transform a Newton correction from the reference face to the reference cell.

Parameters

[in]	correction_ref_face	Newton correction in the reference face.
[in]	local_face_id	Local id of the face.

Returns: Correction vector in the reference cell.

◆ transform_ref_face_point_to_ref_cell()

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

Point< dim > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::transform_ref_face_point_to_ref_cell	(	const dealii::Point< dim - 1 > &	x_ref_face,
		const unsigned int	local_face_id
	)		const

inlineprivate

Transform a point from a reference face to the reference cell.

Parameters

[in]	x_ref_face	dealii::Point in the reference face.
[in]	local_face_id	Local id of the face.

Returns: dealii::Point in the reference cell.

◆ update_ghost_values()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::update_ghost_values ( ) const

private

Update ghost DoF entries of solution vectors to gain read access to ghost elements.

◆ zero_out_ghost_values()

template<int dim, typename VectorType >

void MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::zero_out_ghost_values ( ) const

private

Zero the ghost DoF entries of solution vectors to gain write access to ghost elements.

Member Data Documentation

◆ constraints

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::unique_ptr<dealii::AffineConstraints<double> > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::constraints

private

Hanging node constraints.

◆ distance

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

VectorType MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::distance

private

Solution vector of the unsigned distance without ghost values.

◆ distance_with_ghost

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

VectorType MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::distance_with_ghost

private

Solution vector of the unsigned distance with ghost values.

◆ dof_handler

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

const dealii::DoFHandler<dim>* MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::dof_handler = nullptr

private

Pointer to the DoFHandler describing the signed distance problem (can be fed from external)

◆ face_dofs_map

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::map<unsigned int, std::vector<unsigned int> > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::face_dofs_map

private

Map from face ids to local ids of face DoFs.

◆ face_opposite_dofs_map

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::map<unsigned int, std::vector<unsigned int> > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::face_opposite_dofs_map

private

Map from face ids to local ids of opposite DoFs.

◆ fe

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::unique_ptr<dealii::FiniteElement<dim> > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::fe

private

Finite element discretizing the signed distance problem.

◆ interface_reconstruction_cells

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::map<dealii::types::global_cell_index, std::vector<dealii::CellData<dim == 1 ? 1 : dim - 1> > > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::interface_reconstruction_cells

private

◆ interface_reconstruction_vertices

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::map<dealii::types::global_cell_index, std::vector<dealii::Point<dim> > > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::interface_reconstruction_vertices

private

◆ intersected_dofs

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::set<dealii::types::global_dof_index> MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::intersected_dofs

private

Set of DoFs belonging to intersected cells.

◆ is_external_dof_handler

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

bool MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::is_external_dof_handler = false

private

Flag to indicate whether the DoFHandler is provided externally or built by the solver.

◆ iso_level

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

const double MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::iso_level

private

Iso-level describing the interface from which the signed distance is computed.

◆ level_set

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

VectorType MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::level_set

private

Level-set field coming from the background solver.

◆ locally_active_dofs

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

dealii::IndexSet MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::locally_active_dofs

private

Set of locally active DoFs.

◆ locally_owned_dofs

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

dealii::IndexSet MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::locally_owned_dofs

private

Set of locally owned DoFs.

◆ locally_relevant_dofs

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

dealii::IndexSet MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::locally_relevant_dofs

private

Set of locally relevant DoFs.

◆ mapping

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::unique_ptr<dealii::MappingQ<dim> > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::mapping

private

dealii::Mapping between the real and reference spaces.

◆ max_distance

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

const double MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::max_distance

private

Maximum redistancing distance.

◆ owned_dof_handler

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

std::unique_ptr<dealii::DoFHandler<dim> > MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::owned_dof_handler

private

DoFHandler describing the signed distance problem.

◆ pcout

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

dealii::ConditionalOStream MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::pcout

private

Parallel output stream.

◆ scaling

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

const double MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::scaling

private

Scaling factor applied to the input level-set field.

◆ signed_distance

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

VectorType MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::signed_distance

private

Solution vector of the signed distance without ghost values.

◆ signed_distance_with_ghost

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

VectorType MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::signed_distance_with_ghost

private

Solution vector of the signed distance with ghost values.

◆ verbosity

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

Verbosity MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::verbosity

private

Verbosity level.

◆ volume_correction

template<int dim, typename VectorType = dealii::LinearAlgebra::distributed::Vector<double>>

VectorType MeltPoolDG::LevelSet::SignedDistanceSolver< dim, VectorType >::volume_correction

private

Correction applied to match the cell-wise volume enclosed by the level set.

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

include/meltpooldg/level_set/signed_distance_solver.hpp
source/level_set/signed_distance_solver.cpp

SignedDistanceSolver&lt; dim, VectorType &gt; Class Template Reference

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ SignedDistanceSolver() [1/2]

◆ SignedDistanceSolver() [2/2]

Member Function Documentation

◆ compute_analytical_jacobian()

◆ compute_cell_wise_volume_correction()

◆ compute_distance()

◆ compute_first_neighbors_distance()

◆ compute_residual()

◆ compute_second_neighbors_distance()

◆ compute_signed_distance_from_distance()

◆ conserve_global_volume()

◆ exchange_distance()

◆ get_dof_handler()

◆ get_face_local_dofs()

◆ get_face_opposite_dofs()

◆ get_face_transformation_jacobian()

◆ get_signed_distance() [1/2]

◆ get_signed_distance() [2/2]

◆ initialize_distance()

◆ output_interface_reconstruction()

◆ set_face_dofs_map()

◆ set_face_opposite_dofs_map()

◆ set_level_set_from_background_mesh()

◆ setup_dofs()

◆ solve()

◆ transform_ref_face_correction_to_ref_cell()

◆ transform_ref_face_point_to_ref_cell()

◆ update_ghost_values()

◆ zero_out_ghost_values()

Member Data Documentation

◆ constraints

◆ distance

◆ distance_with_ghost

◆ dof_handler

◆ face_dofs_map

◆ face_opposite_dofs_map

◆ fe

◆ interface_reconstruction_cells

◆ interface_reconstruction_vertices

◆ intersected_dofs

◆ is_external_dof_handler

◆ iso_level

◆ level_set

◆ locally_active_dofs

◆ locally_owned_dofs

◆ locally_relevant_dofs

◆ mapping

◆ max_distance

◆ owned_dof_handler

◆ pcout

◆ scaling

◆ signed_distance

◆ signed_distance_with_ghost

◆ verbosity

◆ volume_correction

SignedDistanceSolver< dim, VectorType > Class Template Reference