Year: 2016
Author: Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 4 : pp. 693–702
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m618
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 4 : pp. 693–702
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Curved mesh generation discontinuous Galerkin methods elastic deformation Lagrangian finite element.