Fully Implicit Form of Differential Quadrature Method for Multi-Species Solute Transport in Porous Media

Authors : Amin GHAREHBAGHI

Pages : 12265-12282

Doi:10.18400/tekderg.975457

View : 7 | Download : 2

Publication Date : 2022-07-01

Article Type : Research Paper

Abstract :Solute transport problems, including sequential multi-species transport phenomena, frequently occur in soil systems. The goal of this paper is to present a novel one-dimensional numerical model with a fully implicit form of differential quadrature method for solving multi-species solute transport equations. The analytical results of three multi-species solute dispersion problems with three- and four-chain members are used to analyse the developed model. Simultaneously, the outcomes of the developed model are compared with the performance of the fully implicit fourth-order finite difference method. Finally, the accuracy of the established model is discussed and evaluated. According to the numerical experiments, the derived model is very useful and widely applicable.
Keywords : Multi species, Solute transport, Porous media, Fully Implicit Differential Quadrature Method, Fully Implicit Fourth Order Finite Difference Method