Dr Mohammed Seaid's Outputs (6)

An enriched finite element model with q-refinement for radiative boundary layers in glass cooling (2013)
Journal Article
Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2014). An enriched finite element model with q-refinement for radiative boundary layers in glass cooling. Journal of Computational Physics, 258, 718-737. https://doi.org/10.1016/j.jcp.2013.11.005

Radiative cooling in glass manufacturing is simulated using the partition of unity finite element method. The governing equations consist of a semi-linear transient heat equation for the temperature field and a stationary simplified P1 approximation... Read More about An enriched finite element model with q-refinement for radiative boundary layers in glass cooling.

Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media (2013)
Journal Article
Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media. Journal of Computational Physics, 251, 81-101. https://doi.org/10.1016/j.jcp.2013.05.030

We investigate the effectiveness of the partition-of-unity finite element method for transient conduction–radiation problems in diffusive grey media. The governing equations consist of a semi-linear transient heat equation for the temperature field a... Read More about Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media.

An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows (2013)
Journal Article
Benkhaldoun, F., Elmahi, I., Sari, S., & Seaid, M. (2013). An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows. International Journal for Numerical Methods in Fluids, 72(9), 967-993. https://doi.org/10.1002/fld.3771

The aim of this work is to develop a well-balanced finite-volume method for the accurate numerical solution of the equations governing suspended sediment and bed load transport in two-dimensional shallow-water flows. The modelling system consists of... Read More about An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows.

Assessment of coupling conditions in water way intersections (2013)
Journal Article
Herty, M., & Seaid, M. (2013). Assessment of coupling conditions in water way intersections. International Journal for Numerical Methods in Fluids, 71(11), 1438-1460. https://doi.org/10.1002/fld.3719

We present a numerical assessment of coupling conditions in T-junction for water flow in open canals. The mathematical model is based on the well-established shallow water equations for open channel flows. In the present work, the emphasis is given t... Read More about Assessment of coupling conditions in water way intersections.

A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions (2013)
Journal Article
Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions. International Journal for Numerical Methods in Engineering, 93(3), 245-265. https://doi.org/10.1002/nme.4383

An enriched partition of unity FEM is developed to solve time-dependent diffusion problems. In the present formulation, multiple exponential functions describing the spatial and temporal diffusion decay are embedded in the finite element approximatio... Read More about A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions.

A finite volume method for scalar conservation laws with stochastic time-space dependent flux function (2013)
Journal Article
Mohamed, K., Seaid, M., & Zahri, M. (2013). A finite volume method for scalar conservation laws with stochastic time-space dependent flux function. Journal of Computational and Applied Mathematics, 237(1), 614-632. https://doi.org/10.1016/j.cam.2012.07.014

We propose a new finite volume method for scalar conservation laws with stochastic time–space dependent flux functions. The stochastic effects appear in the flux function and can be interpreted as a random manner to localize the discontinuity in the... Read More about A finite volume method for scalar conservation laws with stochastic time-space dependent flux function.