Volume 8, Issue 4
High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

Hongqiang Lu ,  Kai Cao ,  Lechao Bian and Yizhao Wu

10.4208/aamm.2014.m618

Adv. Appl. Math. Mech., 8 (2016), pp. 693-702.

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  • Abstract

In this paper, a high-order curved mesh generation method for Discontinuous Galerkin methods is introduced. First, a regular mesh is generated. Second, the solid surface is re-constructed using cubic polynomial. Third, the elastic governing equations are solved using high-order finite element method to provide a fully or partly curved grid. Numerical tests indicate that the intersection between element boundaries can be avoided by carefully defining the elasticity modulus.

  • History

Published online: 2018-05

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