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- Fayssal Benkhaldoun, Imad Elmahi, Mohammed Seaïd
- J. Comput. Physics
- 2007

Pollutant transport by shallow water flows on non-flat topography is presented and numerically solved using a finite volume scheme. The method uses unstructured meshes, incorporates upwinded numerical fluxes and slope limiters to provide sharp resolution of steep bathymetric gradients that may form in the approximate solution. The scheme is non-oscillatory… (More)

- Fayssal Benkhaldoun, Salah Daoudi, Imad Elmahi, Mohammed Seaïd
- Mathematics and Computers in Simulation
- 2011

This work deals with the numerical simulation on an unstructured mesh of the ignition and burning of an isolated fuel droplet modelled as a porous cylindrical wall. The reaction is assumed to be described by the equation A + B −→ P. The complexity of the physical model considered, including multi-scale feature and the presence of sti propagating fronts,… (More)

- Fayssal Benkhaldoun, Imad Elmahi, Mohammed Seaïd
- Mathematics and Computers in Simulation
- 2009

An adaptive finite volume method is proposed for the numerical solution of pollutant transport by water flows. The shallow water equations with eddy viscosity, bottom friction forces and wind shear stresses are used for modelling the water flow whereas, a transport-diffusion equation is used for modelling the advection and dispersion of pollutant… (More)

- Fayssal Benkhaldoun, Imad Elmahi, Mohammed Seäıd
- 2006

Pollutant transport by shallow water flows on nonflat topography is presented and numerically solved using a finite volume scheme. The method uses unstructured meshes, incorporates upwinded numerical fluxes and slope limiters to provide sharp resolution of steep bathymetric gradients that may form in the approximate solution. The scheme is non-oscillatory… (More)

- M. Bilanceri, François Beux, Imad Elmahi, Hervé Guillard, Maria-Vittoria Salvetti
- Mathematics and Computers in Simulation
- 2014

- I. Elmahi, O. Grunder, A. Elmoudni
- 2005 IEEE Conference on Emerging Technologies and…
- 2005

The class of discrete event systems (DES) which involve only synchronization phenomena can be represented by linear state equations in particular algebraic structures. The (max,+) algebra is a dioid over which, these systems can have a linear state representation with special sum and product operations. The study of the DES over this (max,+) algebra is… (More)

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