基于任意拉格朗日-欧拉型移动网格的反应流广义黎曼问题方法  

An Arbitrary Lagrangian-Eulerian Type Moving Mesh Generalized Riemann Problem Scheme for Reactive Flows

作　　者：肖敏 徐喜华 倪国喜[1] XIAO Min;XU Xihua;NI Guoxi(Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Graduate School,China Academy of Engineering Physics,Beijing 100088,China)

机构地区：[1]北京应用物理与计算数学研究所,北京100088 [2]中国工程物理研究院研究生院,北京100088

出　　处：《计算物理》2020年第2期127-139,共13页Chinese Journal of Computational Physics

基　　金：Supported by Science Challenge Project(TZ2016002);National Science Foundation of China(11171154,11671050,11771055,11771053);3D numerical simulation platform TB14-1 of China Academy of Engineering Physics。

摘　　要：提出一种在自由重映移动网格下的广义黎曼问题方法模拟反应流.该方法基于显式的自由重映移动网格广义黎曼问题的解.为保证在时间和空间上的高精度,应用广义黎曼问题方法构造数值通量.为保证反应区的高分辨率,采用变分法生成自适应移动网格.该方法不仅能够保证网格质量,而且能有效地避免任意拉格朗日—欧拉方法中由于显式重映过程而带来的数值误差.包括CJ爆轰及不稳定爆轰的数值实验说明该格式的精确性和鲁棒性,证明这种移动网格下的二阶广义黎曼问题方法可以较好地捕捉反应流的间断与光滑结构.We present a generalized Riemann problem based,remapping free moving mesh scheme to simulate reactive flows. The scheme is based on solution of a generalized Riemann problem on moving meshes and is explicitly remapping free. In construction of numerical fluxes,we use generalized Riemann problem scheme to get high accuracy. A variational approach is applied to generate an adaptive moving mesh to get high resolution in reactive zone. The scheme can not only keep the mesh quality,but also avoid efficiently numerical errors induced by an explicit remapping process in arbitrary Lagrangian-Eulerian methods. Numerical experiments,including Chapmann-Jouguet detonation and unstable detonation,demonstrate accuracy and robustness of the scheme. It shows that the generalized Riemann problem moving mesh method performs well for reactive flows with both discontinuities and smooth structures.

关 键 词：移动网格方法 任意拉格朗日—欧拉法 广义黎曼问题方法 反应流 

分 类 号：O359[理学—流体力学] V211.1+7[理学—力学]