3 citations · 6 across the 11 of their papers we have counts for
14 papers · 1 filter
Discrete positivity and maximum principles for a finite element discretization of the Richards equation
Abderrahmane Benfanich, Yves Bourgault, Abdelaziz Beljadid
Standard finite element discretizations of the Richards equation may violate the discrete minimum principle, producing unphysical negative saturations. While existing bound-preserv…
A finite element method using a bounded auxiliary variable for solving the Richards equation
Abderrahmane Benfanich, Yves Bourgault, Abdelaziz Beljadid
The Richards equation, a nonlinear elliptic parabolic equation, is widely used to model infiltration in porous media. We develop a finite element method for solving the Richards eq…
LRBF meshless methods for predicting soil moisture distribution in root zone
Mohamed Boujoudar, Abdelaziz Beljadid, Ahmed Taik
In this paper, we first propose a coupled numerical model of unsaturated flow in soils and plant root water uptake. The Richards equation and different formulations are used in the…
Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots
Mohamed Boujoudar, Abdelaziz Beljadid, Ahmed Taik
Modeling unsaturated flow through soils with water uptake by plan root has many applications in agriculture and water resources management. In this study, our aim is to develop eff…
A semi-implicit second-order temporal scheme for solving the pressure head-based form of Richards' and advection-dispersion equations
Nour-eddine Toutlini, Abdelaziz Beljadid, Azzeddine Soulaïmani
In this study, a novel semi-implicit second-order temporal scheme combined with the finite element method for space discretization is proposed to solve the coupled system of infilt…
Localized RBF methods for modeling infiltration using the Kirchhoff-transformed Richards equation
Mohamed Boujoudar, Abdelaziz Beljadid, Ahmed Taik
We develop a new approach to solve the nonlinear Richards equation based on the Kirchhoff transformation and localized radial basis function (LRBF) techniques. Our aim is to reduce…