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Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows. (2009)
Journal Article
Seaid, M., & Thömmes, G. (2009). Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows. Advances in applied mathematics and mechanics, 1(3), 415-437

We develop a lattice Boltzmann method for modeling free-surface temperature dispersion in the shallow water flows. The governing equations are derived from the incompressible Navier-Stokes equations with assumptions of shallow water flows including b... Read More about Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows..

Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method. (2009)
Journal Article
Manouzi, H., & Seaid, M. (2009). Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method. Mathematics and Computers in Simulation, 79(12), 3523-3533. https://doi.org/10.1016/j.matcom.2009.04.008

A Galerkin finite element approximation of Wick-stochastic water waves is developed and numerically investigated. The problems under study consist of a class of shallow water equations driven by white noise. Random effects may appear in the water fre... Read More about Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method..

Application of Mesh-Adaptation for Pollutant Transport by Water Flow. (2009)
Journal Article
Benkhaldoun, F., Elmahi, I., & Seaid, M. (2009). Application of Mesh-Adaptation for Pollutant Transport by Water Flow. Mathematics and Computers in Simulation, 79(12), 3415-3423. https://doi.org/10.1016/j.matcom.2009.04.007

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 where... Read More about Application of Mesh-Adaptation for Pollutant Transport by Water Flow..

Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers. (2009)
Journal Article
Rößler, A., Seaid, M., & Zahri, M. (2009). Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers. Mathematics and Computers in Simulation, 79(12), 3577-3586. https://doi.org/10.1016/j.matcom.2009.04.018

A stochastic model for replicators in catalyzed RNA-like polymers is presented and numerically solved. The model consists of a system of reaction–diffusion equations describing the evolution of a population formed by RNA-like molecules with catalytic... Read More about Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers..

Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar. (2009)
Journal Article
El-Amrani, M., & Seaid, M. (2009). Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar. Mathematics and Computers in Simulation, 79(12), 3444-3454. https://doi.org/10.1016/j.matcom.2009.04.013

We develop a numerical model for large eddy simulation of turbulent heat transport in the Strait of Gibraltar. The flow equations are the incompressible Navier–Stokes equations including Coriolis forces and density variation through the Boussinesq ap... Read More about Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar..

An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations. (2009)
Journal Article
Seaid, M. (2009). An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations. Applied Numerical Mathematics, 59(3-4), 754-768. https://doi.org/10.1016/j.apnum.2008.03.032

We present an Eulerian–Lagrangian method for the numerical solution of coupled parabolic-hyperbolic equations. The method combines advantages of the modified method of characteristics to accurately solve the hyperbolic equations with an Eulerian meth... Read More about An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations..

A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics (2009)
Journal Article
Klar, A., Reuterswärd, P., & Seaid, M. (2009). A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics. Journal of Scientific Computing, 38(3), 349-367. https://doi.org/10.1007/s10915-008-9244-2

A simplified Fokker-Planck model for the lay-down of fibers on a conveyor belt in the production process of nonwovens is investigated. It takes into account the motion of the fiber under the influence of turbulence. The emphasis in this paper is on t... Read More about A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics.