dolfin::MeshQuality Class Reference

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

#include <MeshQuality.h>

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

aspect_ratio_gamma()

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

dihedral_angles_histogram_data()

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

radius_ratio_histogram_data()

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)

Returns

std::pair<std::vector<double>, std::vector<double>>

radius_ratio_matplotlib_histogram()

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)

Returns

std::string

radius_ratio_min_max()

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.

radius_ratios()

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.

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

• /home/fenics/shared/dolfin/dolfin/mesh/MeshQuality.h
• /home/fenics/shared/dolfin/dolfin/mesh/MeshQuality.cpp