Volume 29, Issue 5
Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension

Wenhua Ma, Guoxi Ni & Min Xiao

Commun. Comput. Phys., 29 (2021), pp. 1385-1410.

Published online: 2021-03

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  • 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.

  • Keywords

Compressible fluids, level set method, cut cell, Riemann solvers, adaptive multi-resolution, three dimension.

  • AMS Subject Headings

76T10, 65M08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-29-1385, author = {Ma , Wenhua and Ni , Guoxi and Xiao , Min}, title = {Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension}, journal = {Communications in Computational Physics}, year = {2021}, volume = {29}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0107}, url = {http://global-sci.org/intro/article_detail/cicp/18718.html} }
TY - JOUR T1 - Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension AU - Ma , Wenhua AU - Ni , Guoxi AU - Xiao , Min JO - Communications in Computational Physics VL - 5 SP - 1385 EP - 1410 PY - 2021 DA - 2021/03 SN - 29 DO - http://doi.org/10.4208/cicp.OA-2019-0107 UR - https://global-sci.org/intro/article_detail/cicp/18718.html KW - Compressible fluids, level set method, cut cell, Riemann solvers, adaptive multi-resolution, three dimension. AB -

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.

Wenhua Ma, Guoxi Ni & Min Xiao. (2021). Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension. Communications in Computational Physics. 29 (5). 1385-1410. doi:10.4208/cicp.OA-2019-0107
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