TY - JOUR
T1 - An Adaptive Moving Mesh Method for the Five-Equation Model
AU - Gu , Yaguang
AU - Luo , Dongmi
AU - Gao , Zhen
AU - Chen , Yibing
JO - Communications in Computational Physics
VL - 1
SP - 189
EP - 221
PY - 2022
DA - 2022/07
SN - 32
DO - http://doi.org/10.4208/cicp.OA-2021-0169
UR - https://global-sci.org/intro/article_detail/cicp/20792.html
KW - Multi-component flows, five-equation model, finite volume method, minmod limiter, adaptive moving mesh method, stiffened gas EOS.
AB - <p style="text-align: justify;">The five-equation model of multi-component flows has been attracting much
attention among researchers during the past twenty years for its potential in the study
of the multi-component flows. In this paper, we employ a second order finite volume method with minmod limiter in spatial discretization, which preserves local extrema of certain physical quantities and is thus capable of simulating challenging test
problems without introducing non-physical oscillations. Moreover, to improve the
numerical resolution of the solutions, the adaptive moving mesh strategy proposed
in [Huazhong Tang, Tao Tang, Adaptive mesh methods for one- and two-dimensional
hyperbolic conservation laws, SINUM, 41: 487-515, 2003] is applied. Furthermore, the
proposed method can be proved to be capable of preserving the velocity and pressure when they are initially constant, which is essential in material interface capturing.
Finally, several classical numerical examples demonstrate the effectiveness and robustness of the proposed method.</p>