ADI Diference Method For Coupled System Of Two Dimensional Groundwater And Solute Transport

This paper analyzes the control equations of two-dimensional groundwatersolute transport.On this basis,we establish alternating direction implicit difer-ence scheme of equations. Classical explicit diference scheme dues to the stabilityof the time limit;The implicit diference scheme or central diference method re-quires the solution of quite a lot of unknown variables, and then leads to solvingdifcultly; In this paper, the alternating direction diference method is used.Each layer is divided into two steps as well as every step simply needs to solvesa tridiagonal equations.In the scale of the calculation, it is equivalent to one-dimensional.And has the same stability with the implicit scheme.Secondly, thecontrol equation contains the nonlinear coefcient, the cubic spline interpolationis used to approximate it in order to improve the calculation accuracy.The numer-ical examples has proved this method can be efective to simulate the equationof solute transport in groundwater.This article has reference value to solve suchnonlinear issue.Finally, we analyze the stability of the linear solute transportequation.The article consists of three parts:The first part is the preface. It describes the background and development ofnumerical model in groundwater.In addition,this section gives the main contentsof this article.The second part is the solute transport model in groundwater.In this sec-tion, it presents the basic assumptions of groundwater. And we establish theequations of the groundwater flow and the solute transport according to massconservation of the equilibrium unit cell.On the basis of Dupuit assumption,weultimately format two-dimensional model.Finally we make a detailed analysis ofthe parameters involved in the equation.The third part is the finite diference method of two-dimensional ground-water model.It gives both the alternating direction diferential format of the equations and the cubic spline interpolation of two-dimensional.We introducetwo methods to approximation equation of nonlinear coefcient and numericalexamples prove that the second method is more efective.Finally, this paper an-alyzes the stability of the linear solute transport equations.