@Article{CiCP-34-318,
author = {Zeng , ZhiqiangFeng , ChengliangZhang , XiaotaoZhang , Shengtao and Liu , Tiegang},
title = {A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow},
journal = {Communications in Computational Physics},
year = {2023},
volume = {34},
number = {2},
pages = {318--356},
abstract = {<p style="text-align: justify;">In this work, a genuinely two-dimensional HLL-type approximate Riemann
solver is proposed for hypo-elastic plastic flow. To consider the effects of wave interaction from both the $x$- and $y$-directions, a corresponding 2D elastic-plastic approximate
solver is constructed with elastic-plastic transition embedded. The resultant numerical flux combines one-dimensional numerical flux in the central region of the cell edge
and two-dimensional flux in the cell vertex region. The stress is updated separately by
using the velocity obtained with the above approximate Riemann solver. Several numerical tests, including genuinely two-dimensional examples, are presented to test the
performances of the proposed method. The numerical results demonstrate the credibility of the present 2D approximate Riemann solver.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0314},
url = {http://global-sci.org/intro/article_detail/cicp/21971.html}
}