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R. Abdellaoui

Bio: R. Abdellaoui is an academic researcher. The author has contributed to research in topics: Shallow water equations & Roe solver. The author has an hindex of 1, co-authored 1 publications receiving 4 citations.

Papers
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01 Jan 2014
TL;DR: In this paper, a well balanced adaptive scheme is proposed for the numerical solution of the coupled nonlinear shallow water equations and depth-averaged advection-diffusion pollutant transport equation.
Abstract: A well balanced adaptive scheme is proposed for the numerical solution of the coupled non-linear shallow water equations and depth-averaged advection-diffusion pollutant transport equation. The scheme uses the Roe approximate Riemann solver with upwind discretization for advection terms and the Vazquez scheme for source terms. It is designed to handle non-uniform bed topography on triangular unstructured meshes, while satisfying the conservation property. Dynamic mesh adaptation criteria are based on the local pollutant concentration gradients. The model is validated for steady flow over irregular bed topography, recirculation due to a sidewall expansion in a frictionless channel, and pollution advection in a flat-bottomed channel. An idealized application to the simulation of pollutant dispersion in the Bay of Tangier, Morocco is presented, which demonstrates the capability of the dynamically adaptive grid model to represent water quality scenarios in a bay of non-uniform bed topography and complicated shoreline.

6 citations


Cited by
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Book ChapterDOI
22 Jan 2010

309 citations

Journal ArticleDOI
TL;DR: In this article, a new method for the numerical solution of the passive scalar transport equation in the framework of hydrodynamic equations in the shallow water approximation is described, based on previously developed quasi-gasdynamic algorithms for numerical simulation of compressible gas flows.
Abstract: A new method for the numerical solution of the passive scalar transport equation in the framework of hydrodynamic equations in the shallow water approximation is described. The method is based on previously developed quasi-gasdynamic algorithms for numerical simulation of compressible gas flows. Smoothed equations are derived, and their difference approximations, including for flows with a pollutant source, are presented. The numerical algorithms are tested as applied to one- and two-dimensional flows. As an example, the algorithm is used to solve the problem of water circulation in Lake Vallunden. The constructed approach is generalized to passive scalar transport in the case of viscous incompressible flows.
TL;DR: In this article , a real test using the finite volume method is presented for the numerical simulation of the pollutant transport by water flows, and the results are presented using different tidal conditions and wind-induced flow fields in the Nador lagoon in Morocco.
Abstract: A real test using the finite volume method is presented for the numerical simulation of the pollutant transport by water flows. Shallow water equations, bottom friction forces, wind shear stresses, and Coriolis effect are used to model the water flow while a transport-diffusion equation is used to model the advection and dispersion of the pollutant concentration. The finite volume method used has been the subject of several works (see e.g. [3, 4, 17]) it is a simple discretization of centered type for the source terms, can handle complex topography by using non-uniform triangular grids while keeping the conservation property. The C-property based on checking the balance between the convection term and the background profile is satisfied. The monitoring of the pollutant concentration in the computational domain during its dispersion process is taken into account. The focus of this study is on an application of pollution dispersion in the Nador lagoon in Morocco. The results are presented using different tidal conditions and wind-induced flow fields in the lagoon.
Journal ArticleDOI
TL;DR: In this paper , the numerical resolution of a 2D shallow water system with a Coriolis effect and bottom friction stresses on unstructured meshes by a new Finite Volume Characteristics (FVC) scheme was considered.
Abstract: We consider in this work the numerical resolution of a 2D shallow water system with a Coriolis effect and bottom friction stresses on unstructured meshes by a new Finite Volume Characteristics (FVC) scheme, which has been introduced in the preliminary works that will be cited below. Our main goal is to extend this approach to 2D unstructured formalism while preserving the physical and mathematical properties of the system, including the C-property. First, we present our extension by preserving the advantages of the finite volume discretization such as conservation property and the method of characteristics such as elimination of Riemann solvers. Afterward, an approach was applied to the topography source term that leads to a well-balanced scheme satisfying the steady-state condition of still water. A semi-implicit treatment will also be presented in this study to avoid stability problems for the other source terms. Finally, the proposed finite volume method is verified on several benchmark tests and shows good agreement with analytical solutions and experimental results; moreover, it gives a noticeable accuracy and rapidity improvement compared to the original approaches.