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

Year 2022, Volume: 33 Issue: 4, 12265 - 12282, 01.07.2022

Amin Gharehbaghı

https://doi.org/10.18400/tekderg.975457

Cited By: 2

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

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