The Research Of Kriging-EFG Method For Soil Solute Transport Equation

In recent years, with the increasing soil salinization and soil pollution, the study of soil solute has attracted extensive attention of many scholars. It has practical value to find efficient scientific methods algorithms to control and regulate the soil solute concentration to strengthen soil nutrient management and supervise the degree of environmental pollution. Meshless method is a classical numerical algorithm developed in recent years, which based on meshless method using moving least Squares-Galerkin weighted residual method is extensive used, the shape function constructed by this algorithm has high order continuity, can adopt direct distribution way in solving domain and internal boundary, can handle the problem with large deformation,fracture and so on. In this paper, the Kriging interpolation method is used to construct the shape function and the Galerkin weighted residual method is used to propose a new meshless method:Kriging-EFG algorithm.The shape function of the algorithm satisfies the properties of the Kronecker delta function. Based on the above analysis, the Kriging interpolation meshless method is applied to the inertial non-adsorbed soil solute transport equation. The main contents are as follows:First of all, we review the background, significance and research status of soil solute equation; we introduce the background, significance and classification of meshless method, and we introduce the research status and basic principle of meshless Galerkin meshless method ?EFG method?. Finally, the research background and basic principle of Kriging interpolation method are introduced.Secondly, based on the element free Galerkin method, the Kriging interpolation method is used to construct the shape function, and the Kriging interpolation method is combined with the Galerkin weighted residual method, the Kriging-EFG meshless method is proposed. The numerical simulation model of Kriging-EFG meshless method is derived for one-dimensional and two-dimensional soil solute transport equation.Thirdly,the algorithm is applied to a one-dimensional soil solute transport equation,and by adjusting the regional scale factor, Gauss function factor and penalty factor, the algorithm error accuracy can reach 10^-4; For two-dimensional soil solute transport equation the numerical results show that the accuracy of the algorithm can reach 10^-4 by adjusting the same as one dimenson factor. Therefore, the Kriging-EFG meshless algorithm can be applied to this background equation.Finally, the algorithm error is compared with the finite element method and the finite difference method. The results show that the algorithm is better and the solution has higher precision, which is a better numerical simulation method.