From 9751b842fa2afa544fc7d8ecb4b74884c5e6b7a2 Mon Sep 17 00:00:00 2001 From: eap Date: Wed, 21 Dec 2005 12:14:49 +0000 Subject: [PATCH] Add picture for aspect ratio of hexahedron. Remove 2D formular from aspect ratio 3D page --- doc/salome/gui/SMESH/aspect_ratio_3d.htm | 37 ++++++++++-------------- 1 file changed, 16 insertions(+), 21 deletions(-) diff --git a/doc/salome/gui/SMESH/aspect_ratio_3d.htm b/doc/salome/gui/SMESH/aspect_ratio_3d.htm index 560b78509..20573a1fd 100755 --- a/doc/salome/gui/SMESH/aspect_ratio_3d.htm +++ b/doc/salome/gui/SMESH/aspect_ratio_3d.htm @@ -97,29 +97,13 @@ else

 

This mesh quality criterion resembles to the Aspect ratio - criterion, however, it is also applied to 3D mesh elements: tetrahedrons, + criterion, however, it is applied to 3D mesh elements: tetrahedrons, pentahedrons, hexahedrons, etc.  

-

There are 2 simple formulas to evaluate directly the value of quality - Qk for simplex in 2D and 3D. The formulas are :

+

There are simple formulas to evaluate directly the value of quality + Qk for simplex in 3D. The formulas are :

-

• For triangle :

- -

 

- -

- -

- -

where :

- -

 

- -

- -

 

- -

 

+

• For tetrahedron :

@@ -136,7 +120,7 @@ else

 

-

For the other types of element like quadrangle, pentahedron and hexahedron +

For the other types of element like pentahedron and hexahedron the formula is the following :

@@ -144,6 +128,17 @@ else

Where Qi are the quality of all the possible simplex (of same dimension as the element) that compose the element.

+

For example, hexahedron is analysed via 6 tetrahedrons this way:

+ +

+ +

 

+ +

For 3D elements with quadrangular faces, aspect ratio of such faces +is also analysed and the maximal one over 3D and 2D qualities is taken.

+ +

 

+

 

See Also -- 2.30.2