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An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics

An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics
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Year:    2012

Communications in Computational Physics, Vol. 11 (2012), Iss. 1 : pp. 114–146

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.291010.180311a

Communications in Computational Physics, Vol. 11 (2012), Iss. 1 : pp. 114–146

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    33

Keywords:   

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