FINITE PROXIMATE METHOD FOR CONVECTION-DIFFUSION EQUATION  

作　　者：ZHAO Ming-deng LI Tai-ru HUAI Wen-xin LI Liang-liang 

机构地区：[1]State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China

出　　处：《Journal of Hydrodynamics》2008年第1期47-53,共7页水动力学研究与进展B辑（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 50679061).

摘　　要：A finite proximate method was presented to solve the convection-diffusion equation in curvilinear grids. The method has characteristics of automatic upwind effect and the good stability. It was verified through exact solution and other calculation results of two-dimensional dam-break flow in a frictionless, horizontal channel. The calculation results are in good agreement with the exact solution and other calculation results, which show that the finite proximate method can be applied to solve the convection-diffusion equation directly not only in the rectangular grids, but also in the curvilinear grids.A finite proximate method was presented to solve the convection-diffusion equation in curvilinear grids. The method has characteristics of automatic upwind effect and the good stability. It was verified through exact solution and other calculation results of two-dimensional dam-break flow in a frictionless, horizontal channel. The calculation results are in good agreement with the exact solution and other calculation results, which show that the finite proximate method can be applied to solve the convection-diffusion equation directly not only in the rectangular grids, but also in the curvilinear grids.

关 键 词：convection-diffusion equation finite proximate method dam-break flow 

分 类 号：TV13[水利工程—水力学及河流动力学]