大霍尔系数下电离气体与磁场相互作用规律数值研究  

NUMERICAL RESEARCH ON THE INTERACTION BETWEEN IONIZED GAS AND MAGNETIC FIELD UNDER HIGH HALL PARAMETER

作　　者：胡海洋[1] 杨云军[1] 周伟江[1] 

机构地区：[1]中国航天空气动力技术研究院,北京100074

出　　处：《力学学报》2011年第3期453-460,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国防基金资助项目(9140A13050109HT7106)~~

摘　　要：通过洛伦兹力与焦耳热耦合流场N-S方程和电势场泊松方程,实现对低磁雷诺数磁流体流场的数值模拟,并考虑霍尔效应和外电路对计算结果的影响.采用无虚拟时间步的LUSGS预处理BI-CGSTAB算法解决了大霍尔系数下泊松方程病态矩阵求解问题.对霍尔系数10~2的量级的高超声速磁流体圆管绕流和进气道隔离段能量沉积两种现象的数值模拟表明,外电路、电极冷却措施、等离子体均匀度对电磁力作用效果影响很大.By coupling Poisson＇s equation for the electric potential field with flow-field N-S equations through Lorentz force and the joule heat,numerical simulation of magneto-fluid with low magnetic Reynolds number was carried out.The influence of the Hall effect and the external circuit was considered.The Poisson＇s equation ill-conditioned matrix caused by high Hall parameter was overcomed by LUSGS pretreatment BI-CGSTAB algorithm without pseudo time step.Numerical simulations of two kind of phenomenon,hypersonic magnetofluid flow around a circular cylinder when Hall parameter reaching about 10~2 and the energy deposition in scramjet isolator,indicate that external circuit,electrode cooling measures and plasma uniformity have great influence on the electro-magnetic force.

关 键 词：磁流体力学 霍尔效应 数值模拟 高超声速 BI-CGSTAB 

分 类 号：O361.3[理学—流体力学]