Search Results - "Abdelaziz Beljadid"
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An efficient semi-implicit friction source term treatment for modeling overland flow
Published in Advances in water resources (01-03-2023)“…In this study, a new numerical treatment of the friction source term is proposed for modeling shallow water flows over complex bed topography. We design a…”
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A structure-preserving algorithm for surface water flows with transport processes
Published in Advances in computational mathematics (01-02-2022)“…We consider a system of coupled equations modeling a shallow water flow with solute transport and introduce an artificial dissipation in order to improve the…”
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A well-balanced and positivity-preserving numerical model for overland flow under vegetation effects
Published in Mathematics and computers in simulation (01-03-2024)Get full text
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A coupled numerical model for water flow, sediment transport and bed erosion
Published in Computers & fluids (01-09-2017)“…•A numerical method is proposed for the coupled hydrodynamic-morphodynamic system.•Analytical expressions of the eingenstructure of the system are not…”
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Node-Diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids
Published in Mathematics and computers in simulation (01-02-2023)Get full text
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Efficient second-order semi-implicit finite element method for fourth-order nonlinear diffusion equations
Published in Computer physics communications (01-01-2021)“…We focus here on a class of fourth-order parabolic equations that can be written as a system of second-order equations by introducing an auxiliary variable. We…”
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Implicit and semi-implicit second-order time stepping methods for the Richards equation
Published in Advances in water resources (01-02-2021)“…This study concerns numerical methods for efficiently solving the Richards equation where different weak formulations and computational techniques are…”
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A continuum model of unstable infiltration in porous media endowed with an entropy function
Published in Advances in water resources (01-10-2020)“…•We propose a thermodynamic approach to modeling unsaturated flow in porous media.•The formulation is endowed with an entropy function, and it describes an…”
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Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots
Published in Applied numerical mathematics (01-10-2024)“…Root water uptake Soil-water-plant interactions Meshfree methods Localized radial basis function EXP-RBF BDF2Modeling unsaturated flow through soils with water…”
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Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations
Published in Journal of computational physics (01-09-2021)“…•We develop second-order methods for fourth-order nonlinear equations.•The methods satisfy the conservation of mass, positivity or boundedness of solution and…”
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A transfer learning physics-informed deep learning framework for modeling multiple solute dynamics in unsaturated soils
Published in Computer methods in applied mechanics and engineering (01-11-2024)“…Modeling subsurface flow and transport phenomena is essential for addressing a wide range of challenges in engineering, hydrology, and ecology. The Richards…”
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Localized RBF methods for modeling infiltration using the Kirchhoff-transformed Richards equation
Published in Engineering analysis with boundary elements (01-07-2023)“…We develop a new approach to solve the nonlinear Richards equation based on the Kirchhoff transformation and localized radial basis function (LRBF) techniques…”
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A central-upwind scheme with artificial viscosity for shallow-water flows in channels
Published in Advances in water resources (01-10-2016)“…•A scheme for shallow-water flows in channels with artificial viscosity is proposed.•The central-upwind scheme enjoys well-balance and positivity-preserving…”
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A well-balanced positivity-preserving numerical scheme for shallow water models with variable density
Published in Computers & fluids (15-12-2021)“…We develop an unstructured numerical scheme for a coupled system modeling shallow water flows and solute transport over variable topography. A novel algorithm…”
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Semi-implicit schemes for modeling water flow and solute transport in unsaturated soils
Published in Advances in water resources (01-11-2024)“…The coupled model of water flow and solute transport in unsaturated soils is addressed in this study. Building upon previous research findings by Keita,…”
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Localized MQ-RBF meshless techniques for modeling unsaturated flow
Published in Engineering analysis with boundary elements (01-09-2021)“…•We develop space-time mesh-free numerical techniques to solve the Richards equation.•The proposed numerical method is efficient in terms of computational…”
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Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows
Published in Computers & fluids (10-09-2016)“…•A cell-vertex central-upwind scheme is proposed for shallow water system.•The proposed method is free of any Riemann solver.•New techniques are proposed for…”
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18
Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere
Published in Computer methods in applied mechanics and engineering (01-06-2019)“…We consider nonlinear hyperbolic conservation laws posed on a curved geometry, referred to as “geometric Burgers equations” after Ben-Artzi and LeFloch (2007),…”
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Stability analysis of unstructured finite volume methods for linear shallow water flows using pseudospectra and singular value decomposition
Published in Advances in water resources (01-10-2016)“…The discretization of the shallow water system on unstructured grids can lead to spurious modes which usually can affect accuracy and/or cause stability…”
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The combination of the quality index, isotopic, and GIS techniques to assess water resources in a semi-arid context (Essaouira watershed in Morocco)
Published in Groundwater for sustainable development (01-05-2022)“…In arid and semi-arid zones, water resources remain unknown in terms of quality and quantity. The current paper aims to evaluate the water quality for drinking…”
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