次弹塑性流动的真实二维HLL型近似Riemann解算器

IF 2.6 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Computational Physics Pub Date : 2023-06-01 DOI:10.4208/cicp.oa-2022-0314

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

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引用次数: 0

摘要

．在这项工作中，提出了一个真正的二维hhl型近似黎曼解算器。为了考虑x方向和y方向波浪相互作用的影响，构造了相应的二维弹塑性近似求解器，并嵌入弹塑性过渡。所得的数值通量结合了单元边缘中心区域的一维数值通量和单元顶点区域的二维通量。利用上述近似黎曼解算器求得的速度分别更新应力。给出了几个数值测试，包括真正的二维例子，以测试所提出的方法的性能。数值结果证明了所提出的二维近似黎曼解的可靠性。

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A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow

. 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.

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来源期刊

Communications in Computational Physics 物理-物理：数学物理

CiteScore

4.70

自引率

5.40%

发文量

审稿时长

9 months

期刊介绍： Communications in Computational Physics (CiCP) publishes original research and survey papers of high scientific value in computational modeling of physical problems. Results in multi-physics and multi-scale innovative computational methods and modeling in all physical sciences will be featured.