The Study Of Soil Solute Transport Problems Of Finite Element Method

In this paper, several kinds of finite element methods of the soilsolute transport problems are discussed. As the world’s problem, Soilproblems has received the widespread attention, All kinds of problems ofsoil should take effective measures. First of all, we should realize the ruleof the soil solute transport, how to choose the suitable method to study thesoil solute transport rule is many scholars concern most．In this paper, fordifferent soil solute transport problem, using different methods arediscussed, It shows that the method is feasible．Firstly, least-squares mixedfinite element method (fem) is used to the non-cohesive soil solutetransport problems and two-dimensional soil solute transportequation．Using this method, corresponding finite element format isestablished, through the analysis of the convergence of the approximationgives corresponding the error estimation. The least-squares mixed finiteelement method have advantages, such as when choosing mixed finiteelement space, it is not necessary to verify Ladyzhenskaya-babuska-brezzi(LBB) compatibility condition, the choice of space is also moreflexible. Through dissection of finite element space, and the set offunctions of coefficient matrix formed on each basic unit structure issymmetric positive definite; Then fully discrete finite volume elementmethod is extended to two-dimensional solute transition with soil water,Half a discrete format about time is established, its error estimate is given,Then on the basis of time of half a discrete format, a fully discrete finitevolume element format is established. Finally, error estimation showsthe feasibility of this method.