Explanation Of Jacobian Ratio In ANSYS Meshing(Illustrated Expression)

You can see the various features of your mesh structure from mesh metrics in ANSYS. One of this features is the ‘Jacobian Ratio’ You can see the average Jacobian ratio situation of a mesh structure and in this article we will explain:

• What is ‘Jacobian Ratio’ in ANSYS Meshing?
• How th e’Jacobian Ratio’ can be seen in ANSYS Meshing?

Explanation Of ‘Jacobian Ratio’ Mesh Metric In ANSYS Meshing

To see the general Jacobian ratio situation of your mesh structure, click on ‘Mesh’ tan as shown in green box above then select the ‘Jacobian Ratio’ as shown in red box above inside the mesh metric.

After selecting the ‘Jacobian Ratio’ for mesh metric, you can see the minimum, maximum, average and standard deviation value of Jacobian ratios in mesh structure elements. Also you can see the dispersion of Jacobian ratios of mesh elements according to number of them as a chart for different element types in ANSYS.

Jacobian ratio is about the element midside nodes of mesh structures and calculated according to that parameter for different elemens types like below.

If an element midside nodes are at the exactly middle of an edge, the Jacobian ratio for a triangle is 1. This is the best value for Jacobian ratio for triangles. As you see above, when the Jacobian ratio for triangles increase, the midside nodes of edges are coming to the center.

The same logic is valid for quadrilateral elements in ANSYS Meshing. The perfect Jacobian ratio status is paralellepiped geometry as you see above.

This can be the simplest way to explain the Jacobian ratio in mesh metric. Jacobian ratio must be close to the number of 1 for a perfect mesh structure in ANSYS.

If you have comments or questions about ‘Jacobian Ratio in ANSYS mesh metrics’, leave them below!