Skip to main content

Research Repository

Advanced Search

Outputs (150)

Lattice Boltzmann Methods for Shallow Water Flow Applications (2007)
Journal Article
Thömmes, G., Seaid, M., & Banda, M. (2007). Lattice Boltzmann Methods for Shallow Water Flow Applications. International Journal for Numerical Methods in Fluids, 55(7), 673-692. https://doi.org/10.1002/fld.1489

We apply the lattice Boltzmann (LB) method for solving the shallow water equations with source terms such as the bed slope and bed friction. Our aim is to use a simple and accurate representation of the source terms in order to simulate practical sha... Read More about Lattice Boltzmann Methods for Shallow Water Flow Applications.

Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes (2007)
Journal Article
Benkhaldoun, F., Elmahi, I., & Seaid, M. (2007). Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes. Journal of Computational Physics, 226(1), 180-203. https://doi.org/10.1016/j.jcp.2007.04.005

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 resolu... Read More about Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes.

A Consistent Approach for the Coupling of Radiation and Hydrodynamics at Low Mach Number (2007)
Journal Article
Dubroca, B., Seaid, M., & Teleaga, I. (2007). A Consistent Approach for the Coupling of Radiation and Hydrodynamics at Low Mach Number. Journal of Computational Physics, 225(1), 1039-1065. https://doi.org/10.1016/j.jcp.2007.01.011

We present a consistent numerical model for coupling radiation to hydrodynamics at low Mach number. The hydrodynamical model is based on a low-Mach asymptotic in the compressible flow that removes acoustic wave propagation while retaining the compres... Read More about A Consistent Approach for the Coupling of Radiation and Hydrodynamics at Low Mach Number.

Numerical Simulation of Natural and Mixed Convection Flows by Galerkin-Characteristic Method (2007)
Journal Article
El-Amrani, M., & Seaid, M. (2007). Numerical Simulation of Natural and Mixed Convection Flows by Galerkin-Characteristic Method. International Journal for Numerical Methods in Fluids, 53(12), 1819-1845. https://doi.org/10.1002/fld.1384

A numerical investigation is performed to study the solution of natural and mixed convection flows by Galerkin-characteristic method. The method is based on combining the modified method of characteristics with a Galerkin finite element discretizatio... Read More about Numerical Simulation of Natural and Mixed Convection Flows by Galerkin-Characteristic Method.

A New Monte Carlo Approach for Conservation Laws and Relaxation Systems.
Presentation / Conference Contribution
Pareschi, L., & Seaid, M. (2004, December). A New Monte Carlo Approach for Conservation Laws and Relaxation Systems

We present a Monte Carlo method for approximating the solution of conservation laws. A relaxation method is used to transform the conservation law to a kinetic form that can be interpreted in a probabilistic manner. A Monte Carlo algorithm is then us... Read More about A New Monte Carlo Approach for Conservation Laws and Relaxation Systems..