基于无网格Galerkin法求解矩形绝缘管道内的磁流体流动  

Meshless Galerkin method for magneto hydrodynamic flow in rectangular insulated duct

作　　者：蔡星会 强洪夫 董三强 王国亮 

机构地区：[1]火箭军工程大学,西安710025

出　　处：《计算力学学报》2016年第6期905-910,共6页Chinese Journal of Computational Mechanics

基　　金：中国博士后科学基金面上基金(2014M562635);陕西省自然科学基金研究计划(2013JM1005)资助项目

摘　　要：无量纲磁流体流动控制方程中的哈特曼数较大将导致数值计算发散或误差过大。将无网格Galerkin法引入绝缘管道内的稳定磁流体流动计算中,针对磁流体控制方程中大哈特曼数导致计算误差大的情况,对无网格Galerkin法添加了稳定项。计算结果表明,同等条件下,添加了稳定项的无网格Galerkin法总体相对误差远小于标准无网格Galerkin法的结果,且可以计算哈特曼数最大达50000绝缘管道内的磁流体流动。The Hartmann number in the nondimensional control equations may lead to divergence or larger error for numerical simulation. The meshless Galerkin method is applied to compute the steady maneto hydrodynamic flow in rectangular insulated duct. A steady technique is introduced into the Gaierkin method due to the large error problem caused by the large Hartmann number in maneto hydrodynamic flow control equations. Numerical results show that errors from meshless Galerkin method with steady technique are less than that from standard insulated duct with Hartmann number over 50000 Galerkin method. And maneto hydrodynamic flow in may be well simulated with the impoved method.

关 键 词：磁流体 无网格GALERKIN法 稳定方法 哈特曼数 

分 类 号：O29[理学—应用数学]