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THE UPWIND FINITE DIFFERENCE METHOD FOR MOVING BOUNDARY VALUE PROBLEM OF COUPLED SYSTEM
Authors:Yuan Yirang Institute of Mathematics  Sh  ong University  Jinan  China
Institution:Yuan Yirang Institute of Mathematics,Shandong University,Jinan 250100,China
Abstract:Coupled system of multilayer dynamics of fluids in porous media is to describe the history of oil-gas transport and accumulation in basin evolution.It is of great value in rational evaluation of prospecting and exploiting oil-gas resources.The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.The upwind finite difference schemes applicable to parallel arithmetic are put forward and two-dimensional and three-dimensional schemes are...
Keywords:multilayer coupled system  moving boundary values  upwind finite difference method  convergence  numerical simulation of energy sources  
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