COMSOL Multiphysics™

meshqual
Purpose
meshqual
Mesh quality measure.
Syntax
Description
q = meshqual(mesh)
q = meshqual(mesh) returns the mesh element quality for all elements in the mesh
object mesh.
The mesh element quality is a number between 0 and 1. The quality is 1 for a perfect
element.
Details on the mesh object can be found in the entry on femmesh.
The triangle quality is given by the formula
where a is the area and h 1 , h 2 , and h 3 the side lengths of the triangle. If q > 0.3 the
mesh quality should not affect the quality of the solution. q = 1 when h 1 = h 2 = h 3 .
For a quadrilateral,
where h 1 , h 2 , h 3 , and h 4 are the side lengths. q=1 for a square.
The tetrahedron mesh quality measure is given by
where V is the volume, and h 1 , h 2 , h 3 , h 4 , h 5 , and h 6 are the side lengths of the
tetrahedron. If q > 0.1 the mesh quality should not affect the quality of the solution.
For a hexahedron,
4 3a
q = ------------------------------- ,
2 2 2
h 1
+ h 2
+h 3
q = --------------------------------------------
4A
,
2 2 2
+ h 2
+ h 3
+h 4
where h i are the edge lengths. q=1 for a cube. For a prism,
h 1
2
q
72 3V
= ----------------------------------------------------------------------------------- ,
2 2 2 2 2 2
( h 1
+ h 2
+ h 3
+ h 4
+ h 5
+h 6
) 3 ⁄ 2
q = ------------------------------
24 3V
,
12
⎛ ⎞ 3 ⁄ 2
⎜ 2
⎜∑
h ⎟
i ⎟
⎝ ⎠
i = 1
289