@Article{CiCP-32-1,
author = {Yaguang, Gu and Luo, Dongmi and Zhen, Gao and Yibing, Chen},
title = {An Adaptive Moving Mesh Method for the Five-Equation Model},
journal = {Communications in Computational Physics},
year = {2022},
volume = {32},
number = {1},
pages = {189--221},
abstract = {<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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2021-0169},
url = {https://global-sci.com/article/79463/an-adaptive-moving-mesh-method-for-the-five-equation-model}
}