@Article{CiCP-36-1113,
author = {Zeng , ZhiqiangCao , KuiFeng , ChengliangWang , Yibo and Liu , Tiegang},
title = {A Genuinely Two-Dimensional Approximate Riemann Solver with Stress Continuity for Hypo-Elastic Solids},
journal = {Communications in Computational Physics},
year = {2024},
volume = {36},
number = {4},
pages = {1113--1155},
abstract = {<p style="text-align: justify;">The inability to maintain stress continuity across a contact discontinuity is
a well-known limitation of some Godunov-type methods developed for gas when directly employed for hypo-elastic solid simulations. Interestingly, this drawback persists in multi-dimensional computations, even when a genuinely multi-dimensional
approximate Riemann solver is utilized. To address this challenge, a genuinely two-dimensional Riemann solver is constructed with the enforcement of stress continuity.
Subsequently, a path has been constructed by using the present one-dimensional approximate Riemann solver which ensures the stress continuity. Based upon the established path, a discretization method for stress equation is developed by utilizing
the path-conservative DLM (Dal Maso, LeFloch, and Murat) approach. Numerical
tests demonstrate that the proposed approximate Riemann solver effectively preserves
stress continuity, thereby eliminating nonphysical numerical oscillations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0118},
url = {http://global-sci.org/intro/article_detail/cicp/23495.html}
}