三維瞬態(tài)對流擴散問題的插值型維數(shù)分裂無單元Galerkin方法

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中圖分類號：0343.2 文獻標志碼：B

Interpolating dimension splitting element-free Galerkin method for 3D transient convection diffusion problems

CHENG Yujun，PENG Miaojuan，CHENG Yumin （School of Mechanics and Engineering Sciences，Shanghai University，Shanghai 2OO444，China）

Abstract：An interpolating dimension splitting element-free Galerkin（IDSEFG） method for threedimensional transient convection diffusion problem is presented.Firstly，the dimension spliting method is used to discretize the spatial domain of the three-dimensional problem into a series of two-dimensional problems.The interpolating element-free Galerkin method is employed to construct the discrete system equations for thesetwo-dimensional problems.Then，these equations are coupled via the finite diference method along the dimension spliting direction，while the time domain is also discretized using the finitedifference method.Finally，the computational formulas of the IDSEFG method are obtained.Two examples are given to discussthe computational accuracy and efficiency under diferentparameter effcts. The results show that the IDSEFG method has significant advantages over the improved element-free Galerkin（IEFG） method in terms of computational precision and speed.

Key words： meshless method ； improved interpolating moving least-squares method； dimension splitting；interpolating dimension splitting element-free Galerkin method； improved element-free Galerkin method；transient convection diffusion

0 引言

對流擴散問題通常描述流體中某些物質(zhì)的傳輸現(xiàn)象。（剩余7942字）