弹塑性问题壁热误差分析及抑制方法  

Analyse and Suppression Method of Wall Heating Error for Elastic-Plastic Problem

作　　者：李肖 沈智军[2] 郭虹平 方俊 张红平 Xiao LI;Zhijun SHEN;Hongping GUO;Jun FANG;Hongping ZHANG(College of Big Data and Internet,Shenzhen Technology University,Shenzhen,Guangdong 518118,China;Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Faculty of Mathematics,Baotou Teachers'College,Baotou,Inner Mongolia 014030,China)

机构地区：[1]深圳技术大学大数据与互联网学院,广东深圳518118 [2]北京应用物理与计算数学研究所,北京100088 [3]包头师范学院,数学科学学院,内蒙古包头014030

出　　处：《计算物理》2024年第5期569-581,共13页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(12302377,11972330,11974321);中国博士后科学基金(2022M722185);广东省基础与应用基础研究基金(2022A1515110521);内蒙古自治区高等学校科学技术研究项目(NJZY19186)资助。

摘　　要：使用单元中心型拉氏Godunov方法,研究理想弹塑性流体的数值格式和减少壁热误差的方法。给出Godunov格式的黏性修正方程,描述初值间断情况下黏性激波的形成和传播过程,分析修正方程的黏性行为和壁热误差的关系。在此基础上,提出一个HLLC型近似黎曼解法器。在该解法器中,引入一种自适应热通量黏性项用来抑制界面处的内能和密度壁热误差;提出一个额外接触速度用来抑制偏应力的过热现象。This paper studies numerical scheme and suppression method of wall heating error for elastic-plastic flow with cell-centered Lagrange Godunov method.Provide the viscosity correction equation of Godunov scheme,describe the procedure of a viscous shock formation and propagation with a jump type initial data,and analyze the relationship between the viscosity behavior of the correction equation and wall heating error.On this basis,a new HLLC-type approximate Riemann solver is proposed.In this solver,an adaptive heat conduction viscosity is introduced to suppress wall heating error of internal energy and density at the interface;What's more,an additional contact velocity is proposed to suppress the over-heating phenomenon of deviatoric stress.

关 键 词：弹塑性流体 黎曼解法器 HLLC 壁热 

分 类 号：O35[理学—流体力学]