<p> </p>\r
\r
<p><img src="i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs2">This mesh quality criterion resembles to the Aspect ratio \r
- criterion, however, it is also applied to 3D mesh elements: tetrahedrons, \r
+ criterion, however, it is applied to 3D mesh elements: tetrahedrons, \r
pentahedrons, hexahedrons, etc. </p>\r
\r
-<p>There are 2 simple formulas to evaluate directly the value of quality \r
- Qk for simplex in 2D and 3D. The formulas are :</p>\r
+<p>There are simple formulas to evaluate directly the value of quality \r
+ Qk for simplex in 3D. The formulas are :</p>\r
\r
-<p>\95 For triangle :</p>\r
-\r
-<p> </p>\r
-\r
-<p><img src="image21.gif" width="158px" height="110px" border="0" class="img_whs3"></p>\r
-\r
-<p><img src="image23.gif" width="120px" height="48px" border="0" class="img_whs4"></p>\r
-\r
-<p>where :</p>\r
-\r
-<p> </p>\r
-\r
-<p><img src="image27.gif" width="234px" height="96px" border="0" class="img_whs5"></p>\r
-\r
-<p> </p>\r
-\r
-<p> </p>\r
+<br>\r
\r
<p>\95 For tetrahedron :</p>\r
\r
\r
<p> </p>\r
\r
-<p>For the other types of element like quadrangle, pentahedron and hexahedron \r
+<p>For the other types of element like pentahedron and hexahedron \r
the formula is the following :</p>\r
\r
<p><img src="image30.gif" width="89px" height="32px" border="0" class="img_whs9"> </p>\r
<p>Where Qi are the quality of all the possible simplex (of same dimension \r
as the element) that compose the element.</p>\r
\r
+<p>For example, hexahedron is analysed via 6 tetrahedrons this way:</p>\r
+\r
+<p><img src="image139.gif" border="0" class="img_whs10"> </p>\r
+\r
+<p> </p>\r
+\r
+<p>For 3D elements with quadrangular faces, aspect ratio of such faces\r
+is also analysed and the maximal one over 3D and 2D qualities is taken.</p>\r
+\r
+<p> </p>\r
+\r
<p> </p>\r
\r
<p class="whs10"><span style="font-weight: bold;"><B>See Also</B></span> \r