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