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High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

Part of: Hyperbolic equations and systems Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  27 May 2016

Hongqiang Lu ,
Kai Cao ,
Lechao Bian  and
Yizhao Wu
Hongqiang Lu*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Kai Cao
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Lechao Bian
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Yizhao Wu
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
*
*Corresponding author. Email:hongqiang.lu@nuaa.edu.cn (H. Q. Lu)
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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.

Keywords

Curved mesh generationdiscontinuous Galerkin methodselastic deformationLagrangian finite element

MSC classification

Secondary: 35L67: Shocks and singularities 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 4 , August 2016 , pp. 693 - 702
Copyright
Copyright © Global-Science Press 2016 

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References

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