# Staff Profile

## Dr Mohammed Seaid, BSc MSc PhD

**Lecturer in the School of Engineering and Computing Sciences**

Contact Dr Mohammed Seaid (email at m.seaid@durham.ac.uk)

### Biography

Dr Mohammed Seaid is a lecturer in the School of Engineering, Durham University. His doctoral research focused on the design and analysis of numerical methods for simulating the radiative heat transfer equations in gas turbine combustion chambers. His post-doctoral research was conducted in the area of numerical modelling of coupled radiation and hydrodynamics using simplified PN approximations, M1 entropy models and nonlinear multilevel methods.

Along with Prof. Axel Klar (in the Fraunhofer Institut Techno- und Wirtschaftsmathematik at Kaiserslautern, Germany), he has been developping efficient models for radiation and conduction in high temperature gas flows. The general research results have wide applicability within engineering. Since 2001, much of his research work has been undertaken within the SFB 568 Research Group, a strongly collaborative group of mechanical engineers and distributed computing researchers at the universities of Darmstadt, Heidelberg, and Kaiserslautern.

At present he teaches L3 Coastal Engineering, L4 Hydrology and the Environment and L4 Dynamics.

### Research Interests

- Shallow water flows
- Transport of suspended sediments
- Tidal flows and currents
- Scientific computing
- Computational radiative heat transfer
- Lattice Boltzmann and discrete-velocity methods
- Modified method of characteristics

### Research Groups

#### School of Engineering and Computing Sciences

- Mechanics Research Group

### Selected Publications

#### Books: authored

**Seaid, M.**(2004).*Mathematical Models and Numerical Methods for Radiation Hydrodynamics: Relaxation Schemes and Multilevel Algorithms*. Germany: Shaker Verlag GmbH.

#### Books: edited

- El-Amrani, M.
**Seaid, M.**Yebari, N. (2008).__Proc. 1st Hispano-Moroccan Days on Applied Mathematics and Statistics__. Madrid, Spain: Universidad Rey Juan Carlos.

#### Journal papers: academic

- 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. **Mohamed, M.S.**,**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.- Benkhaldoun, F., Elmahi, I.,
**Seaid, M.**& 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. - Herty, M &
**Seaid, M.**(2013). Assessment of coupling conditions in water way intersections.*International Journal for Numerical Methods in Fluids***71**(11): 1438. - Mohamed, M.S.,
**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. - El-Amrani M. &
**Seaid, M.**(2012). A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows.*Applied Numerical Mathematics***62**(9): 1197. - El-Amrani, M. &
**Seaid, M.**(2012). A finite element semi-Lagrangian method with L^{2}interpolation.*International Journal for Numerical Methods in Engineering***90**(12): 1485. - Benkhaldoun B., Sari, S. &
**Seaid, M.**(2012). A flux-limiter method for dam-break flows over erodible sediment beds.*Applied Mathematical Modelling***36**(10): 4847. - El-Amrani M.,
**Seaid, M.**& Zahri, M. (2012). A stabilized finite element method for stochastic incompressible Navier-Stokes equations.*International Journal of Computer Mathematics***89**(18): 2576. - Benkhaldoun, F., Daoudi, S., Elmahi, I. &
**Seaid, M.**(2012). Numerical modelling of sediment transport in the Nador lagoon (Morocco).*Applied Numerical Mathematics***62**(12): 1749. - Izem, N.
**Seaid, M.**& Wakrim, M. (2012). Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method.*International Journal of Computer Applications***43**(6): 20. - El-Amrani, M. &
**Seaid, M.**(2011). An L^{2}-projection for the Galerkin-characteristic Solution of Incompressible Flows.*SIAM Journal on Scientific Computing***33**(6): 3110-3131. - Benkhaldoun, F.
**Seaid, M.**(2011). Combined Characteristics and Finite Volume Methods for Sediment Transport and Bed Morphology in Surface Water Flows.*Mathematics and Computers in Simulation***81**(10): 2073. - Benkhaldoun, F. Daoudi, S. Elmahi, I.
**Seaid, M.**(2011). Comparison of unstructured finite-volume morphodynamic models in contracting channel flows.*Mathematics and Computers in Simulation***81**(10): 2087. - Benkhaldoun, F. Sahmim, S.
**Seaid, M.**(2011). Mathematical development and verification of a finite volume model for morphodynamic flow applications.*Adv. Appl. Math. Mech***3**: 470-492. - Audusse, E. Benkhaldoun, F. Sainte-Marie, J. I.
**Seaid, M.**(2011). Multilayer Saint-Venant equations over movable beds.*Discrete and Continuous Dynamical Systems - Series B (DCDS-B)***15**(4): 917 - 934. - Benkhaldoun, F. Elmahi, I. &
**Seaid, M.**(2010). A new finite volume method for flux-gradient and source-term balancing in shallow water equations.*Computer Methods in Applied Mechanics and Engineering***199**(49-52): 3324–3335. - Benkhaldoun, F.
**Seaid, M.**(2010). A simple finite volume method for the shallow water equations.*J. Comp. Applied Math***234**: 58-72. - Benkhaldoun, F. Sahmim, S. &
**Seaid, M.**(2010). A two-dimensional finite volume morphodynamic model on unstructured triangular grids.*International Journal for Numerical Methods in Fluids***63**(11): 1296-1327. - El-Amrani, M. &
**Seaid, M.**(2010). An Essentially Non-Oscillatory Semi-Lagrangian Method for Tidal Flow Simulations.*International Journal for Numerical Methods in Engineering***81**(7): 805-834. - Klar, A. Reuterswärd, P.
**Seaid, M.**(2009). A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics.*J. Scientific Computing***38**(3): 349-367. - El-Amrani, M.
**Seaid, M.**(2009). A Spectral Stochastic Semi-Lagrangian Method for Convection-Diffusion Equations with Uncertainty.*J. Scientific Computing***39**: 371-393. **Seaid, M.**(2009). An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations.*Appl. Numer. Math***59**: 754-768.- Benkhaldoun, F. Elmahi, I.
**Seaid, M.**(2009). Application of Mesh-Adaptation for Pollutant Transport by Water Flow.*Mathematics and Computers in Simulation***79**: 3415-3423. - El-Amrani, M.
**Seaid, M.**(2009). Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar.*Mathematics and Computers in Simulation***79**: 3444-3454. - Banda, M.
**Seaid, M.**Thömmes, G. (2009). Lattice Boltzmann Simulation of Dispersion in Two-Dimensional Tidal Flows.*International Journal for Numerical Methods in Engineering***77**: 878-900. **Seaid, M.**Thömmes, G. (2009). Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows.*Advances in Applied Mathematics and Mechanics***1**: 415-437.- Rößler, A.
**Seaid, M.**Zahri, M. (2009). Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers.*Mathematics and Computers in Simulation***79**: 3577-3586. - Benkhaldoun, F. Sahmim, S.
**Seaid, M.**(2009). Solution of the Sediment Transport Equations using a Finite Volume Method based on Sign Matrix.*SIAM J. Sci. Comp***31**: 2866-2889. - Manouzi, H.
**Seaid, M.**(2009). Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method.*Mathematics and Computers in Simulation***79**: 3523-3533. - El-Amrani, M.
**Seaid, M.**(2008). A finite element modified method of characteristics for convective heat transport.*Numerical Methods for Partial Differential Equations***24**(3): 776 - 798. - El-Amrani, M.
**Seaid, M.**(2008). A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer.*SIAM J. Sci. Comput***30**(6): 2734-2754. - Haslam, I.W. Crouch, R.S.
**Seaid, M.**(2008). Coupled finite element–lattice Boltzmann analysis.*Computer Methods in Applied Mechanics and Engineering***197**(51-52): 4505-4511. - El-Amrani, M.
**Seaid, M.**(2008). Extension of weakly compressible approximations to incompressible thermal flows.*Communications in Numerical Methods in Engineering***24**(1): 33 - 48. **Seaid, M.**El-Amrani, M. (2008). Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation.*International Journal of Computer Mathematics***85**(3-4): 641 - 656.- Banda, M.K.
**Seaid, M.**Teleaga, I. (2008). Large-Eddy Simulation of Thermal Flows based on Discrete-Velocity Models.*SIAM J. Sci. Comput***30**(4): 1756-1777. - Klar, A.
**Seaid, M.**Thoemmes, G. (2008). Lattice Boltzmann Simulation of Depth-Averaged Models in Flow Hydraulics.*International Journal of Computational Fluid Dynamics***22**(7): 507 - 522. - Teleaga, I.
**Seaid, M.**(2008). Simplified radiative models for low-Mach number reactive flows.*Applied Mathematical Modelling***32**(6): 971-991. - Herty, M.
**Seaid, M.**(2008). Simulation of transient gas flow at pipe-to-pipe intersections.*International Journal for Numerical Methods in Fluids***56**(5): 485 - 506. - Schneider, E.
**Seaid, M.**Janicka, J. Klar, A. (2008). Validation of simplified PN models for radiative transfer in combustion.*Communications in Numerical Methods in Engineering***24**(2): 85 - 96. - 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. - 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. - 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. - 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.

#### Edited works: conference proceedings

- Banda, M.
**Seaid, M.**Teleaga, I. (2008).__Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems__. - Pinnau, R.
**Seaid, M.**(2008).__Simplified PN Models and Natural Convection-Radiation__.