无网格局部Petrov-Galerkin方法求解稳态导热问题  

A meshless local Petrov-Galerkin method for steady-state heat conduction problems

作　　者：吴学红[1] 张文慧[1] 吕彦力[1] 龚毅[1] 

机构地区：[1]郑州轻工业学院机电工程学院,河南郑州450002

出　　处：《郑州轻工业学院学报（自然科学版）》2010年第2期42-46,58,共6页Journal of Zhengzhou University of Light Industry:Natural Science

基　　金：国家科技支撑计划项目(2006BAJ01A10);河南省科技攻关项目(102102210138);郑州轻工业学院博士基金资助项目(2099BSJ001)

摘　　要：应用无网格局部Petrov-Galerkin方法求解稳态导热问题,与分析解或有限容积法的计算结果进行比较,同时运用直接插值法处理第一类边界条件.通过例子计算表明:直接插值法能很好地处理本征边界条件,同时MLPG方法与精确解或有限容积法符合得很好.Meshless local Petrov-Galerkin （MLPG） method is a truly meshless method. MLPG method was applied to compute the steady-state heat conduction problems and was compared with the exact solution and finite volume method. At the same time, the direct interpolation method was employed to deal with the Dirichlet boundary condition. The results showed that the direct interpolation method was straightforward and effective method to deal with the Dirichlet boundary condition, and the results of MLPG method were in good agreement with those obtained by exact solution or FVM.

关 键 词：无网格法 局部Petrov—Galerkin法 有限容积法 导热 

分 类 号：TK124[动力工程及工程热物理—工程热物理]