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

作　　者：Zhiqiang Zeng Chengliang Feng Xiaotao Zhang Shengtao Zhang Tiegang Liu 

机构地区：[1]LMIB and School of Mathematical Sciences,Beihang University,Beijing,100191,China [2]Haifang(Shanghai)Technology Co.,Ltd.,Shanghai,200000,China

出　　处：《Communications in Computational Physics》2023年第7期318-356,共39页计算物理通讯（英文）

基　　金：supported by the NSFC-NSAF joint fund(Grant No.U1730118);the Science Challenge Project(Grant No.JCKY2016212A502);the National Natural Science Foundation of China(Grant No.12101029);Postdoctoral Science Foundation of China(Grant No.2020M680283).

摘　　要：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.

关 键 词：Elastic plastic flow elastic-plastic transition multi-dimensional effect twodimensional approximate Riemann solver 

分 类 号：O17[理学—数学]