Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5470942 | Applied Mathematical Modelling | 2017 | 23 Pages |
Abstract
Predicting the horizontal groundwater flow in unsaturated porous media is a challenge in many areas of science and engineering. The governing equation associated with this phenomenon is a nonlinear partial differential equation known as the Richards equation. However, the numerical results obtained using this equation can differ substantially from the experimental results. In order to overcome this difficulty, a new version of the Richards equation was proposed recently that considers a time derivative of fractional order. In this study, we present a numerical method for solving this fractional Richards equation. Our method comprises an adaptive time marching scheme that uses Picard iterations to solve the corresponding nonlinear equations. A computational code was implemented for the proposed method using the Scilab programming language. We performed numerical simulations of the anomalous diffusion of water in a white siliceous brick and showed that the numerical results were consistent with the available experimental data.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Amauri A. Freitas, Daniel G. Alfaro Vigo, Marcello G. Teixeira, Carlos A.B. de Vasconcellos,