Year: 2021
Author: Wenhua Ma, Guoxi Ni, Min Xiao
Communications in Computational Physics, Vol. 29 (2021), Iss. 5 : pp. 1385–1410
Abstract
In this paper, we propose accurate Riemann solvers for detonation and deflagration with sharp interface in high dimension. The standard finite volume scheme is used for each fluid away from material interface, the detonation and the deflagration interfaces are captured by the level set method, small cut cells are treated with a mixing procedure to get stable algorithm. By Riemann solver for the detonation and the deflagration, the interface fluxes are obtained. With the help of the adaptive multi-resolution algorithms, we extend the method to three dimension conveniently. Numerical examples in two or three-dimension are carried out to demonstrate the potential and robustness of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0107
Communications in Computational Physics, Vol. 29 (2021), Iss. 5 : pp. 1385–1410
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Compressible fluids level set method cut cell Riemann solvers adaptive multi-resolution three dimension.