Cube-it 16.3 User Documentation
Cube-it 16.3 User Documentation
The metrics used for wedge elements in Cube-it are summarized in the following table:
Function Name
|
Dimension
|
Full Range
|
Acceptable Range
|
Aspect Ratio
|
L^0
|
1 to inf
|
1 to 3
|
| Element Volume | L^3 |
-inf to inf |
None |
| Condition No. |
L^0
|
1 to inf
|
1 to 3
|
| Jacobian | L^3 |
-inf to inf |
None |
| Scaled Jacobian | L^0 |
-1 to 1 |
0.2 to 1 |
| Shape | L^0 |
0 to 1 |
0.2 to 1 |
| Distortion | L^0 |
-1 to 1 |
0.6 to 1 |
Unless otherwise noted, Cube-it supports calculations for linear wedge elements. Metric calculations involving higher order wedge elements will only use the corner nodes of the element.
Aspect Ratio: Maximum edge length ratios at the wedge center
Element Volume: Calculated by dividing the wedge into 11 tetrahedron and summing the volume of each.
Condition No.: Condition number of the Jacobian matrix at any corner
Jacobian: Minimum pointwise volume at any corner. Cube-it also supports Jacobian calculations for Wedge21elements.
Scaled Jacobian: Minimum Jacobian divided by the lengths of 3 edge vectors
Shape: 3/Mean Ratio of weighted Jacobian Matrix
Distortion: {min(|J|)/actual volume}*parent volume