当前位置: X-MOL 学术Int. J. Numer. Methods Fluids › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An exact Riemann solver for one‐dimensional multimaterial elastic‐plastic flows with Mie‐Grüneisen equation of state without vacuum
International Journal for Numerical Methods in Fluids ( IF 1.8 ) Pub Date : 2020-09-17 , DOI: 10.1002/fld.4917
Li Liu 1 , Jun‐Bo Cheng 1 , Yongxing Shen 2
Affiliation  

In this article, we present exact Riemann solvers for the Riemann problem and the half Riemann problem, respectively, for one‐dimensional multimaterial elastic‐plastic flows with the Mie‐Grüneisen equation of state (EOS), hypoelastic constitutive model, and the von Mises' yielding condition. We first analyze the Jacobian matrices in the elastic and plastic states, and then build the relations of different variables across different type of waves. Based on these formulations, an exact Riemann solver is constructed with totally 36 possible cases of wave structures. A large number of tests prove the rightness of the new exact Riemann solver. Moreover, an exact Riemann solver is also deduced for the half Riemann problem and its validity is tested by two examples.

中文翻译:

具有Mie-Grüneisen状态方程且无真空的一维多材料弹塑性流动的精确Riemann求解器

在本文中,我们分别针对具有Mie-Grüneisen状态方程(EOS),次弹性本构模型和von Mises的一维多材料弹塑性流动,分别给出了黎曼问题和半黎曼问题的精确黎曼求解器屈服条件。我们首先分析弹性和塑性状态下的雅可比矩阵,然后建立不同类型波之间不同变量之间的关系。基于这些公式,可以构造出精确的Riemann求解器,其中总共包含36种可能的波浪结构情况。大量测试证明了新的精确Riemann求解器的正确性。此外,还为半Riemann问题推导了精确的Riemann求解器,并通过两个示例检验了其有效性。
更新日期:2020-09-17
down
wechat
bug