Implementation of a dual interpolation boundary face method by discontinuous meshes

In this paper, the discontinuous meshes are applied to CAE analysis. Besides that, a dual interpolation boundary face method based on the Hermite-type moving-least-squares method (DiBFM-HMLS) for the 3D elasticity problem is firstly proposed. The DiBFM-HMLS offers an interpolation scheme for the hang points in the discontinuous meshes. Different from the previous mesh division method, the binary-tree structure is used to obtain the discontinuous meshes. Our mesh generation method can effectively avoid model repairing and simplification for geometric structures with small features and defects while ensuring a real automatic mesh division. Compared with the continuous mesh, the discontinuous meshes possess strong geometric adaptability for arbitrarily complicated structures and can provide the possibility for the full-automatic CAE analysis. Suc-cessful numerical examples are used to illustrate the accuracy and reliability of the presented methods in solving various kinds of problems and reveal the excellent performance of the discontinuous meshes.

Automated summary

In this paper, a dual interpolation boundary face method based on the Hermite-type moving-least-squares method is proposed for CAE analysis using discontinuous meshes. The method effectively avoids model repairing and simplification while ensuring a real automatic mesh division. The discontinuous meshes have strong geometric adaptability for arbitrarily complicated structures and provide the possibility for full-automatic CAE analysis.