Year: 2017
Author: Bin Yu, Linying Li, Bin Zhang, Jianhang Wang
Communications in Computational Physics, Vol. 22 (2017), Iss. 1 : pp. 259–284
Abstract
Incorrect propagation speed of discontinuities may occur by straightforward application of standard dissipative schemes for problems that contain stiff source terms for underresolved grids even for time steps within the CFL condition. By examining the dissipative discretized counterpart of the Euler equations for a detonation problem that consists of a single reaction, detailed analysis on the spurious wave pattern is presented employing the fractional step method, which utilizes the Strang splitting. With the help of physical arguments, a threshold values method (TVM), which can be extended to more complicated stiff problems, is developed to eliminate the wrong shock speed phenomena. Several single reaction detonations as well as multi-species and multi-reaction detonation test cases with strong stiffness are examined to illustrate the performance of the TVM approach.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/ 10.4208/cicp.OA-2015-0008
Communications in Computational Physics, Vol. 22 (2017), Iss. 1 : pp. 259–284
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Detonation spurious behavior reactive Euler equations threshold values method stiffness.