Year: 2023
Author: Zhiqiang Zeng, Chengliang Feng, Xiaotao Zhang, Shengtao Zhang, Tiegang Liu
Communications in Computational Physics, Vol. 34 (2023), Iss. 2 : pp. 318–356
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0314
Communications in Computational Physics, Vol. 34 (2023), Iss. 2 : pp. 318–356
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 39
Keywords: Elastic plastic flow elastic-plastic transition multi-dimensional effect two-dimensional approximate Riemann solver.