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 - <p style="text-align: justify;">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.</p>