Quality Improvement of Deformed Mesh Models for FEA by Density and Geometry-recovering Phased ODT Smoothing

ABSTRACT

For realizing efficient product shape design, many dimension-driven mesh deformation methods have been proposed. However, the deformed mesh models often include many distorted elements, and lose the original mesh properties (mesh density and shape approximation accuracy). To solve these problems, we propose a quality improvement method for the deformed tetrahedral mesh models. Our method is based on Optimal Delaunay Triangulation (ODT) smoothing with edge split and edge collapse. In our method, element shape qualities are improved from the boundary to the inside of the mesh model, and original mesh properties are recovered in the deformed mesh models by an additional step in the ODT smoothing. In addition, degenerated and inverted elements are removed by local topological operations. The effectiveness of our method is demonstrated by applications to some simple mesh models.

GRAPHICAL ABSTRACT

Keywords:

• quality improvement
• tetrahedral mesh deformation
• ODT smoothing