TY - JOUR
T1 - High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation
AU - Lu , Hongqiang
AU - Cao , Kai
AU - Bian , Lechao
AU - Wu , Yizhao
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 693
EP - 702
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m618
UR - https://global-sci.org/intro/article_detail/aamm/12110.html
KW - Curved mesh generation, discontinuous Galerkin methods, elastic deformation, Lagrangian finite element.
AB - <p style="text-align: justify;">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.</p>