discretize.utils.volTetra

discretize.utils.volTetra(xyz, A, B, C, D)

Returns the volume for tetrahedras volume specified by the indexes A to D.

Parameters:

• xyz (numpy.ndarray) – X,Y,Z vertex vector
• A,B,C,D (numpy.ndarray) – vert index of the tetrahedra

Return type:

numpy.ndarray

Returns:

V, volume of the tetrahedra

Algorithm https://en.wikipedia.org/wiki/Tetrahedron#Volume

\[ \begin{align}\begin{aligned}V = {1 \over 3} A h\\V = {1 \over 6} | ( a - d ) \cdot ( ( b - d ) ( c - d ) ) |\end{aligned}\end{align} \]