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An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

Published online by Cambridge University Press:  20 August 2015

Peng He  and
Huazhong Tang
Peng He*
Affiliation:
HEDPS, CAPT & LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
Huazhong Tang*
Affiliation:
HEDPS, CAPT & LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
*
Email:hepengpku@gmail.com
Corresponding author.Email:hztang@math.pku.edu.cn
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Abstract

This paper extends the adaptive moving mesh method developed by Tang and Tang [36] to two-dimensional (2D) relativistic hydrodynamic (RHD) equations. The algorithm consists of two “independent” parts: the time evolution of the RHD equations and the (static) mesh iteration redistribution. In the first part, the RHD equations are discretized by using a high resolution finite volume scheme on the fixed but nonuniform meshes without the full characteristic decomposition of the governing equations. The second part is an iterative procedure. In each iteration, the mesh points are first redistributed, and then the cell averages of the conservative variables are remapped onto the new mesh in a conservative way. Several numerical examples are given to demonstrate the accuracy and effectiveness of the proposed method.

Keywords

35L6565M5074S1076L0576N1576Y05Adaptive moving mesh methodfinite volume methodconservative interpolationrelativistic hydrodynamics
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 1 , January 2012 , pp. 114 - 146
Copyright
Copyright © Global Science Press Limited 2012

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