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Scientific Programming
Volume 2017 (2017), Article ID 5896940, 17 pages
https://doi.org/10.1155/2017/5896940
Research Article

Parallel Pseudo Arc-Length Moving Mesh Schemes for Multidimensional Detonation

State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

Correspondence should be addressed to Tianbao Ma; nc.ude.tib@labadam

Received 17 January 2017; Accepted 16 May 2017; Published 12 July 2017

Academic Editor: Piotr Luszczek

Copyright © 2017 Jianguo Ning et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We have discussed the multidimensional parallel computation for pseudo arc-length moving mesh schemes, and the schemes can be used to capture the strong discontinuity for multidimensional detonations. Different from the traditional Euler numerical schemes, the problems of parallel schemes for pseudo arc-length moving mesh schemes include diagonal processor communications and mesh point communications, which are illustrated by the schematic diagram and key pseudocodes. Finally, the numerical examples are given to show that the pseudo arc-length moving mesh schemes are second-order convergent and can successfully capture the strong numerical strong discontinuity of the detonation wave. In addition, our parallel methods are proved effectively and the computational time is obviously decreased.