Metrics for Wedge Elements

The metrics used for wedge elements in CUBIT 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

Wedge Quality Definitions

With a few exceptions, as noted below, Cubit supports quality metric calculations for linear wedge elements only.  When calculating quality metrics, that only support linear elements, for a higher order wedge element, Cubit 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.  Cubit also supports Jacobian calculations for Wedge21elements.

Scaled Jacobian: For linear elements the 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