拉格朗日方法中减小非物理熵增的方法  

Reducing Entropy Production in a Lagrangian Method

作　　者：王丽吉 郭虹平 沈智军[1] WANG Liji;GUO Hongping;SHEN Zhijun(Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Graduate School of China Academy of Engineering Physics,Beijing 100088,China;Faculty of Mathematics,Baotou Teachers1 College,Baotou,Inner Mongolia 014030,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 [3]包头师范学院,内蒙古包头014030

出　　处：《计算物理》2022年第2期179-190,共12页Chinese Journal of Computational Physics

基　　金：National Natural Science Foundation of China (11971071);Foundation of LCP。

摘　　要：为了减少Godunov方法在计算等熵流动问题时的非物理现象,研究单元中心型拉格朗日方法的离散熵增问题。通过对传统数值方法进行压力修正,提出一种基于完全离散熵不等式的通量修正方法。数值实验表明:改进后的通量算法在计算包含膨胀波的问题时能够有效地减少原拉格朗日方法的非物理误差。We investigate entropy production in a cell centered Lagrangian method. The motivation is to reduce intrinsic entropy dissipation of a Godunov method in calculating isentropic flow problems. By implementing pressure modification to the original scheme,a flux fix approach is proposed based on the fully discrete entropy inequality. Numerical experiments show that for problems with expansion waves the modified flux algorithm has better solution behaviors than the original Lagrangian method.

关 键 词：Godunov方法 黎曼求解器 稀疏波 熵 

分 类 号：O354[理学—流体力学]