MHD流动的有限元数值模拟  

Numerical Simulations of Finite Element for MHD Flow

作　　者：梅立泉[1] 张红星[1] 

机构地区：[1]西安交通大学数学与统计学院,西安710049

出　　处：《工程数学学报》2013年第3期384-390,共7页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10971164);中央高校基本科研业务费专项资金(xjj20100112)~~

摘　　要：磁流体在地球物理、天体物理、受控热核反应等领域有重要的应用.本文研究磁流体(MHD)方程组的数值求解方法,在流体不可压缩、有粘性的、导电的、流动为层流情况下,基于Shercliff逼近,采用有限元方法对通过管道的稳态磁流体进行求解.在不同哈特曼数、不同边界条件、不同外加磁场的情况下对磁流体流动进行了数值模拟,并给出哈特曼数、边界条件、外加磁场对边界层的影响.Magnetofluid stands an important role in many fields of geophysics, astrophysics, controlled thermonuclear reactions and so on. In this paper, the numerical method for solving magnetohydrodynamics（MHD） equations is studied. Considering the viscous incompressible conductive fluid and the case of laminar flow, based on the Shercliff approximation, the finite element method is used to solve the steady MHD duct flow. A variety of Hartmann numbers, boundary conditions and externally applied magnetic field are considered in the simulations, and their influence is presented in this paper.

关 键 词：磁流体 有限元 哈特曼数 不可压缩流 

分 类 号：O242.21[理学—计算数学]