hexed::Equiangle_skewness Class Reference

Computes the equiangle skewness mesh quality metric. More...

#include <Element_func.hpp>

Inheritance diagram for hexed::Equiangle_skewness:

Public Member Functions
int	n_var (int n_dim) const override
	number of output variables when called on n_dim-dimensional input
std::string	variable_name (int n_dim, int i_var) const override
	name of i_varth variable (for plotting) when called on n_dim-dimensional input
std::vector< double >	operator() (Element &elem, const Basis &, double time) const override
Public Member Functions inherited from hexed::Element_func
std::vector< double >	operator() (Element &, const Basis &, int i_qpoint, double time) const override

Detailed Description

Computes the equiangle skewness mesh quality metric.

tldr 0 is the best and 1 is the worst. Specifically, the equiangle skewness for an element is given by

\[ \max\left|\frac{2\theta}{\pi} - 1\right| \]

for all angles \( \theta \) between any pair of edges in the element that share a vertex. Thus if all edges meet at perfect right angles, the equiangle skewness is 0, whereas if there is a pair of adjacent edges that are parallel, it is 1. As I understand it, the definition above is equivalent to that used by Fluent® and Pointwise® for quads and hexes.

Member Function Documentation

n_var()

int hexed::Equiangle_skewness::n_var ( int n_dim ) const

inlineoverridevirtual

number of output variables when called on n_dim-dimensional input

Implements hexed::Output_data.

operator()()

std::vector< double > hexed::Equiangle_skewness::operator() ( Element & elem, const Basis & , double time ) const

overridevirtual

–

Implements hexed::Element_func.

variable_name()

std::string hexed::Equiangle_skewness::variable_name ( int n_dim, int i_var ) const

inlineoverridevirtual

name of i_varth variable (for plotting) when called on n_dim-dimensional input

Reimplemented from hexed::Output_data.

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

• /home/micaiah/Desktop/hexed/include/Element_func.hpp
• /home/micaiah/Desktop/hexed/libhexed/Element_func.cpp