TY - JOUR
T1 - A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow
AU - Zeng , Zhiqiang
AU - Feng , Chengliang
AU - Zhang , Xiaotao
AU - Zhang , Shengtao
AU - Liu , Tiegang
JO - Communications in Computational Physics
VL - 2
SP - 318
EP - 356
PY - 2023
DA - 2023/09
SN - 34
DO - http://doi.org/10.4208/cicp.OA-2022-0314
UR - https://global-sci.org/intro/article_detail/cicp/21971.html
KW - Elastic plastic flow, elastic-plastic transition, multi-dimensional effect, two-dimensional approximate Riemann solver.
AB - <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>