Outputs (5)

Mixed enrichment for the finite element method in heterogeneous media (2014)
Journal Article
Diwan, G., Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2015). Mixed enrichment for the finite element method in heterogeneous media. International Journal for Numerical Methods in Engineering, 101(1), 54-78. https://doi.org/10.1002/nme.4795

Problems of multiple scales of interest or of locally nonsmooth solutions may often involve heterogeneous media. These problems are usually very demanding in terms of computations with the conventional finite element method. On the other hand, differ... Read More about Mixed enrichment for the finite element method in heterogeneous media.

A Frequency-domain Approach for the P1 Approximation of Time-dependent Radiative Transfer (2014)
Journal Article
Addam, M., Bouhamidi, A., & Seaid, M. (2015). A Frequency-domain Approach for the P1 Approximation of Time-dependent Radiative Transfer. Journal of Scientific Computing, 62(3), 623-651. https://doi.org/10.1007/s10915-014-9870-9

We propose a new frequency-domain method to solve the simplified P1 approximation of time-dependent radiative transfer equations. The method employs the Fourier transform and consists of two stages. In the first stage the equations are transformed in... Read More about A Frequency-domain Approach for the P1 Approximation of Time-dependent Radiative Transfer.

A simple multi-layer finite volume solver for density-driven shallow water flows (2014)
Journal Article
Benkhaldoun, F., Sari, S., & Seaid, M. (2014). A simple multi-layer finite volume solver for density-driven shallow water flows. Mathematics and Computers in Simulation, 99, 170-189. https://doi.org/10.1016/j.matcom.2013.04.016

A simple solver is proposed for the numerical solution of density-driven multi-layer shallow water flows. The governing equations consist on coupling the multi-layer shallow water equations for the hydraulic variables with suspended sediment transpor... Read More about A simple multi-layer finite volume solver for density-driven shallow water flows.

A fast finite volume solver for multi-layered shallow water flows with mass exchange (2014)
Journal Article
Audusse, E., Benkhaldoun, B., Sari, S., Seaid, M., & Tassi, P. (2014). A fast finite volume solver for multi-layered shallow water flows with mass exchange. Journal of Computational Physics, 272, 23-45. https://doi.org/10.1016/j.jcp.2014.04.026

A fast finite volume solver for hydrostatic multi-layered shallow water flows with mass exchange is investigated. In contrast to many models for multi-layered hydrostatic shallow water flows where the immiscible suppression is assumed, the present mo... Read More about A fast finite volume solver for multi-layered shallow water flows with mass exchange.

A new composite scheme for two-layer shallow water flows with shocks (2014)
Journal Article
Benkhaldoun, F., Izem, N., Sahmim, S., Seaid, M., & Wakrim, M. (2014). A new composite scheme for two-layer shallow water flows with shocks. Journal of Applied Mathematics and Computing, 44(1-2), 467-489. https://doi.org/10.1007/s12190-013-0703-z

This paper is devoted to solve the system of partial differential equations governing the flow of two superposed immiscible layers of shallow water flows. The system contains source terms due to bottom topography, wind stresses, and nonconservative p... Read More about A new composite scheme for two-layer shallow water flows with shocks.