The class provides functions to quantify mesh quality. More...

Static Public Member Functions
static MeshFunction< double >	radius_ratios (std::shared_ptr< const Mesh > mesh)

static MeshFunction< double >	aspect_ratio_gamma (std::shared_ptr< const Mesh > mesh)

static std::pair< double, double >	radius_ratio_min_max (const Mesh &mesh)

static std::pair< std::vector< double >, std::vector< double > >	radius_ratio_histogram_data (const Mesh &mesh, std::size_t num_bins=50)

static std::string	radius_ratio_matplotlib_histogram (const Mesh &mesh, std::size_t num_intervals=50)

static void	dihedral_angles (const Cell &cell, std::vector< double > &dh_angle)
	Get internal dihedral angles of a tetrahedral cell.

static std::pair< double, double >	dihedral_angles_min_max (const Mesh &mesh)
	Get internal minimum and maximum dihedral angles of a 3D mesh.

static std::pair< std::vector< double >, std::vector< double > >	dihedral_angles_histogram_data (const Mesh &mesh, std::size_t num_bins=100)

static std::string	dihedral_angles_matplotlib_histogram (const Mesh &mesh, std::size_t num_intervals=100)
	Create Matplotlib string to plot dihedral angles quality histogram.

Detailed Description

The class provides functions to quantify mesh quality.

Member Function Documentation

dolfin::MeshFunction< double > MeshQuality::aspect_ratio_gamma ( std::shared_ptr< const Mesh > mesh )

static

Compute the Aspect Ratio Gamma (ARG) for all cells.

Parameters

mesh Mesh

Returns: MeshFunction<double> The ARG is given by [ ( r_i^2)^{3/2} 6 V ] i.e. the cube of the RMS edge length divided by six times the cell volume

std::pair< std::vector< double >, std::vector< double > > MeshQuality::dihedral_angles_histogram_data	(	const Mesh &	mesh,
		std::size_t	num_bins = `100`
	)

static

Create (dihedral angles, number of cells) data for creating a histogram of dihedral

std::pair< std::vector< double >, std::vector< double > > MeshQuality::radius_ratio_histogram_data	(	const Mesh &	mesh,
		std::size_t	num_bins = `50`
	)

static

Create (ratio, number of cells) data for creating a histogram of cell quality

Parameters

mesh	(const Mesh&)
num_bins	(std::size_t)

std::string MeshQuality::radius_ratio_matplotlib_histogram	(	const Mesh &	mesh,
		std::size_t	num_intervals = `50`
	)

static

Create Matplotlib string to plot cell quality histogram

Parameters

mesh	(const Mesh&)
num_intervals	(std::size_t)

std::pair< double, double > MeshQuality::radius_ratio_min_max ( const Mesh & mesh )

static

Compute the minimum and maximum radius ratio of cells (across all processes)

Parameters

mesh	(const Mesh&)

Returns

std::pair<double, double> The [minimum, maximum] cell radii ratio (geometric_dimension *

inradius / circumradius, geometric_dimension is normalization factor). It has range zero to one. Zero indicates a degenerate element.

dolfin::MeshFunction< double > MeshQuality::radius_ratios ( std::shared_ptr< const Mesh > mesh )

static

Compute the radius ratio for all cells.

Parameters

mesh	(std::shared_ptr<const Mesh>)

Returns

MeshFunction<double> The cell radius ratio radius ratio geometric_dimension *

inradius / circumradius (geometric_dimension is normalization factor). It has range zero to one. Zero indicates a degenerate element.

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