full
search.png

Search

close.png

Cancel

arrow
Volume 34, Issue 2
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow

Zhiqiang Zeng, Chengliang Feng, Xiaotao Zhang, Shengtao Zhang & Tiegang Liu

DOI: 10.4208/cicp.OA-2022-0314

Commun. Comput. Phys., 34 (2023), pp. 318-356.

Published online: 2023-09

Preview Purchase PDF 1895 24239

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Elastic plastic flow, elastic-plastic transition, multi-dimensional effect, two-dimensional approximate Riemann solver.

  • AMS Subject Headings

35L45, 35Q35, 74C05, 74M20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0314}, url = {http://global-sci.org/intro/article_detail/cicp/21971.html} }
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 -

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.

Zeng , ZhiqiangFeng , ChengliangZhang , XiaotaoZhang , Shengtao and Liu , Tiegang. (2023). A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow. Communications in Computational Physics. 34 (2). 318-356. doi:10.4208/cicp.OA-2022-0314
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard