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Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I: One Dimensional Euler Equations

Published online by Cambridge University Press:  03 June 2015

Jin Qi ,
Yue Wang  and
Jiequan Li
Jin Qi*
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Yue Wang*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
Jiequan Li*
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
*
Email:qi_jin@iapcm.ac.cn
Corresponding author.Email:yue.wang0828@gmail.com
Email:jiequan@bnu.edu.cn
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Abstract

In this paper, a remapping-free adaptive GRP method for one dimensional (1-D) compressible flows is developed. Based on the framework of finite volume method, the 1-D Euler equations are discretized on moving volumes and the resulting numerical fluxes are computed directly by the GRP method. Thus the remapping process in the earlier adaptive GRP algorithm [17,18] is omitted. By adopting a flexible moving mesh strategy, this method could be applied for multi-fluid problems. The interface of two fluids will be kept at the node of computational grids and the GRP solver is extended at the material interfaces of multi-fluid flows accordingly. Some typical numerical tests show competitive performances of the new method, especially for contact discontinuities of one fluid cases and the material interface tracking of multi-fluid cases.

Keywords

76M1276N1576T99The GRP methodmulti-fluid flowsthe Euler equationsthe adaptive mesh method
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 4 , April 2014 , pp. 1029 - 1044
Copyright
Copyright © Global Science Press Limited 2014

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