| 基于无网格局部Petrov-Galerkin(MLPG)法求解任意磁场方向下的定常MHD流动 |
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| 引用本文： | 蔡星会,孙新利,朱满林,苏光辉,秋穗正.基于无网格局部Petrov-Galerkin(MLPG)法求解任意磁场方向下的定常MHD流动[J].上海力学,2011,32(1). |
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| 作者姓名： | 蔡星会 孙新利 朱满林 苏光辉 秋穗正 |
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| 作者单位： | 第二炮兵工程学院;西安交通大学; |
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| 摘 要： | 磁流体流动在现代工业和科研中有着广泛的应用,但磁流体的流动受到磁场的影响,与一般流体区别较大,需要对其进行深入的研究。磁流体的流动受到流体力学流动方程和麦克斯韦方程的共同影响,其精确解在有限条件下才能得到,因此对磁流体的流动进行数值模拟具有重要的意义。本文采用移动最小二乘法计算形函数,利用无网格局部Petrov-Galerkin(MLPG)法得到控制方程的离散形式,在管壁为任意电导率及任意方向外加磁场的条件下,对方形直管道中定常流动的磁流体进行了数值计算。MLPG法的计算是基于节点的,不需要任何网格或单元,是一种真正的无网格方法。计算结果与Scheriff精确解进行了比较,表明该方法适用于中等以下哈特曼数的磁流体流动计算。
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| 关 键 词： | MHD流动 无网格法 局部Petrov-Galerkin法 |
Meshless Local Petrov-Galerkin Method for Fully Developed Magnetohydrodynamic Flow |
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| CAI Xing-hui,SUN Xin-li,ZHU Man-lin,SU Guang-hui,QIU Sui-zheng.Meshless Local Petrov-Galerkin Method for Fully Developed Magnetohydrodynamic Flow[J].Chinese Quarterly Mechanics,2011,32(1). |
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| Authors: | CAI Xing-hui SUN Xin-li ZHU Man-lin SU Guang-hui QIU Sui-zheng |
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| Institution: | CAI Xing-hui1,SUN Xin-li1,ZHU Man-lin1,SU Guang-hui2,QIU Sui-zheng2(1.The Second Artillery Engineering College,Xi'an 710025,China,2.Xi'an Jiaotong University,Xi'an 710049,China) |
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| Abstract: | The magneto-hydrodynamic(MHD) flow is broad applied in modern industry and research.MHD flow is quite different from the common flow due to the influence from the external magnetic field.The problem of MHD flow is rather complex since it involves both the hydrodynamic flow and Maxwell equations.The exact solutions can be achieved only in some simple cases.Therefore,it is of great importance to do the numerical simulation of MHD flow.A meshless local Petrov-Galerkin(MLPG) method was given to obtain the numer... |
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| Keywords: | MHD flow meshless method local Petrov-Galerkin(MLPG)method |
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