Staff profile

Personal webpage

Dr Mohammed Seaid is an Associate Professor in the School of Engineering and Computing Sciences, 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 Hydraulics, L3 Dynamics, and L4 Hydrology.

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

• Sustainable Infrastructure

Authored book

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

Conference Paper

• Banda, M. Seaid, M. & Teleaga, I. (2008), Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems, Proceedings in Applied Mathematics and Mechanics 7: 2100001-2100002.
• Pinnau, R. & Seaid, M. (2008), Simplified PN Models and Natural Convection-Radiation, in Bonilla, Luis L. Moscoso, Miguel Platero, Gloria & Vega, Jose M. eds, Mathematics in Industry 12: Springer, 397-401.
• Seaid, M. (2005), A Monte Carlo method for the Broadwell model with relaxation, Proceedings in Applied Mathematics and Mechanics 5: 691-692.
• Seaid, M. (2005), Numerical Relaxed Solution of the Dam-Break Flows without Riemann Problem Solvers, in Wang Yongqi, & Hutter Kolumban eds, Trends in Applications of Mathematics to Mechanics 473-482.
• González, M. & Seaid, M. (2005), Finite Element Modified Method of Characteristics for Shallow Water Flows: Application to the Strait of Gibraltar, in Di Bucchianico, A., Mattheij, R.M.M. & Peletier, M.A. eds, Progress in Industrial Mathematics 8: 283-287.
• Seaid, M. & Klar, A. (2005), Multigrid Solution of Three-Dimensional Radiative Heat Transfer in Glass Manufacturing, in Bucchianico, A. Di Mattheij, R.M.M. & Peletier, M.A. eds, Mathematics in Industry 8: 283-287.
• El-Amrani, M. & Seaid, M. (2005), Animating Water Waves Using Semi-Lagrangian Techniques, in Bucchianico, A. Di Mattheij, R.M.M. & Peletier, M.A. eds, Mathematics in Industry 8: 494-498.
• Seaid, M., El-Amrani, M. & Machmoum, A. (2004), Recent Advances in Semi-Lagrangian Modelling of Flow Through the Strait of Gibraltar, in Bubak, Marian, van Albada, Geert Dick, Sloot, Peter M.A. & Dongarra, Jack eds, Lecture Notes in Computer Science 3037: 89-96.
• Seaid, M. (2004), A multigrid discrete-ordinates solution for isotropic transport equation, Proceedings in Applied Mathematics and Mechanics 4: 494-495.
• Pareschi, L. & Seaid, M. (2004), A New Monte Carlo Approach for Conservation Laws and Relaxation Systems, in Bubak, Marian van Albada, Geert Dick Sloot, Peter M. A. & Dongarra, Jack eds, Lecture Notes in Computer Science 3037: Springer, 276-283.
• Seaid, M. & Klar, A. (2003), Generalized numerical approximations for the radiative heat transfer problems in two space dimensions, Proceedings of Eurotherm73 on Computational Thermal Radiation in Participating Media 419-429.
• Klar, A. & Seaid, M. (2003), Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation, in Bänsch, Eberhard eds, Lecture Notes in Computational Science and Engineering 35: 211-236.
• Banda, M. & Seaid, M. (2002), A Class of the Relaxation Schemes for Two-Dimensional Euler Systems of Gas Dynamics, in Sloot, Peter M. A. Tan, Chih Jeng Kenneth Dongarra, Jack & Hoekstra, Alfons G. eds, Lecture Notes in Computer Science 2329: Springer, 930-939.
• Seaid, M. & Klar, A. (2001), High-Order Relaxation Methods for Incompressible Navier-Stokes Equations, in Brezzi F., Buffa A. Corsaro S. & Murli A. eds, Numerical Mathematics and Advanced Applications Springer, 111-121.

Edited book

• Seaid, M., El-Amrani, M. & Yebari, N. (2008). Proceedings of Hispano-Moroccan Days on Applied Mathematics and Statistics. Madrid, Spain: Universidad Rey Juan Carlos.

Journal Article

• Albadr, Jaafar, El-Amrani, Mofdi & Seaid, Mohammed (2023). Simplified finite element approximations for coupled natural convection and radiation heat transfer. Numerical Heat Transfer, Part A: Applications 83(5): 478-502.
• El-Amrani, Mofdi, El-Kacimi, Abdellah, Khouya, Bassou & Seaid, Mohammed (2022). Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems. Journal of Scientific Computing 92(2): 58.
• Asmouh, Ilham, El-Amrani, Mofdi, Seaid, Mohammed & Yebari, Naji (2022). A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations. Computational and Mathematical Methods 2022: 8192192.
• Al-Ghosoun, Alia, El Moçayd, Nabil & Seaid, Mohammed (2021). A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows. Environmental Modelling & Software 144: 105176.
• El Moçayd, Nabil & Seaid, Mohammed (2021). Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry. Reliability Engineering & System Safety 216: 107923.
• Carrer, J. A. M., Solheid, B. S., Trevelyan, J. & Seaid, M. (2021). A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation. Engineering with Computers
• Ouardghi, Abdelouahed, El-Amrani, Mofdi & Seaid, Mohammed (2021). An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems. Applied Numerical Mathematics 167: 119-142.
• Mocayd, Nabil El, Mohamed, M Shadi & Seaid, Mohammed (2021). Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies. Journal of Computational Science 53: 101344.
• Al-Ghosoun, A., Osman, A. S. & Seaid, M. (2021). A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography. Communications in Computational Physics
• Izem, Nouh & Seaid, Mohammed (2021). A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography. Advances in Applied Mathematics and Mechanics 14: 725-758.
• Carrer, J.A.M., Solheid, B.S., Trevelyan, J. & Seaid, M. (2021). A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem. Engineering Analysis with Boundary Elements 122: 132-144.
• Al-Ghosoun, A. Osman, A. S. & Seaid, M. (2021). A hybrid finite volume/finite element method for shallow water waves by static deformation on seabeds. Engineering Computations 38(5): 2434-2459.
• El Kahoui, Abdelkarim, Malek, Mustapha, Izem, Nouh, Shadi Mohamed, M. & Seaid, Mohammed (2020). Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement. Computer Modeling in Engineering & Sciences 124(1): 61-78.
• Carrer, J.A.M., Solheid, B.S., Trevelyan, J. & Seaid, M. (2020). The Boundary Element Method applied to the solution of the Diffusion-Wave problem. Engineering Analysis with Boundary Elements 117: 13-25.
• Giani, S. & Seaid, M. (2020). Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media. Applied Numerical Mathematics 150: 252-273.
• El Moçayd, Nabil, Shadi Mohamed, M., Ouazar, Driss & Seaid, Mohammed (2020). Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition. Reliability Engineering & System Safety 195: 106733.
• Carrer, J.A.M., Seaid, M., Trevelyan, J. & Solheid, B.S. (2019). The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem. Engineering Analysis with Boundary Elements 109: 129-142.
• Rowan, Thomas & Seaid, Mohammed (2019). Efficient computational models for shallow water flows over multilayer erodible beds. Engineering Computations 37(2): 401-429.
• Drolia, M., Mohamed, M.S., Laghrouche, O., Seaid, M. & El Kacimi, A. (2019). Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems. Applied Mathematical Modelling 77(2): 1273-1293.
• El-Kacimi, A., Laghrouche, O., Ouazar, D., Mohamed, M.S., Seaid, M. & Trevelyan, J. (2019). Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering. Computer Methods in Applied Mechanics and Engineering 355: 614-638.
• Al-Ghosoun, Alia, Herty, Michael & Seaid, Mohammed (2019). A new numerical treatment of moving wet/dry fronts in dam-break flows. Journal of Applied Mathematics and Computing 59(1-2): 489-516.
• Jiang, Jinhui, Mohamed, M. Shadi, Seaid, Mohammed & Hongqiu Li, (2018). Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation. Computer Methods in Applied Mechanics and Engineering 340: 615-629.
• Mohamed, M Shadi, Seaid, Mohammed & Bouhamidi, Abderrahman (2018). Iterative solvers for generalized finite element solution of boundary-value problems. Numerical Linear Algebra with Applications 25(6): e2205.
• Drolia, M., Mohamed, M.S., Laghrouche, O., Seaid, M. & Trevelyan, J. (2017). Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain. Computers and Structures 182: 354-367.
• Benkhaldoun, Fayssal, Halassi, A., Ouazar, Driss, Seaid, Mohammed & Taik, Ahmed (2017). A stabilized meshless method for time-dependent convection-dominated flow problems. Mathematics and Computers in Simulation 137: 159.
• Izem, Nouh, Seaid, Mohammed & Wakrim, Mohamed (2016). A discontinuous Galerkin method for two-layer shallow water equations. Mathematics and Computers in Simulation 120: 12.
• Benkhaldoun, F., Elmahi, I., Moumna, A. & Seaid, M. (2016). A non-homogeneous Riemann solver for shallow water equations in porous media. Applicable Analysis 95(10): 2181-2202.
• Benkhaldoun, Fayssal, Halassi, A., Ouazar, Driss, Seaid, Mohammed & Taik, Ahmed (2016). Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function. Engineering Analysis with Boundary Elements 66: 49.
• Giani, S. & Seaid, M. (2016). hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer. Computer Methods in Applied Mechanics and Engineering 301: 52-79.
• He, Lisha & Seaid, Mohammed (2016). A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics. Acta Mechanica 227(7): 1813.
• Benkhaldoun, F., Sari, S. & Seaid, M. (2015). A family of finite volume Eulerian–Lagrangian methods for two-dimensional conservation laws. Journal of Computational and Applied Mathematics 285: 181-202.
• Diwan, G.C., Mohamed, M.S., 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.
• 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.
• Alhuri, Yasser, Benkhaldoun, Fayssal, Ouazar, Driss, Seaid, Mohammed & Taik, Ahmed (2015). A meshless method for numerical simulation of depth-averaged turbulence flows using ak-ϵmodel. International Journal for Numerical Methods in Fluids 80(1): 3.
• Benkhaldoun, F., Sari, S. & Seaid, M. (2015). Projection finite volume method for shallow water flows. Mathematics and Computers in Simulation 118: 87-101.
• 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.
• 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.
• Mohamed, M.S., 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.
• 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.
• 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.
• 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.
• Herty, M. & Seaid, M. (2013). Assessment of coupling conditions in water way intersections. International Journal for Numerical Methods in Fluids 71(11): 1438-1460.
• 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.
• 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.
• El-Amrani, M. & Seaid, M. (2012). A finite element semi-Lagrangian method with L² interpolation. International Journal for Numerical Methods in Engineering 90(12): 1485-1507.
• El-Amrani M. & Seaid, M. (2012). A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows. Applied Numerical Mathematics 62(9): 1197-1214.
• 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): 2576-2602.
• Benkhaldoun, F., Daoudi, S., Elmahi, I. & Seaid, M. (2012). Numerical modelling of sediment transport in the Nador lagoon (Morocco). Applied Numerical Mathematics 62(12): 1749-1766.
• Benkhaldoun B., Sari, S. & Seaid, M. (2012). A flux-limiter method for dam-break flows over erodible sediment beds. Applied Mathematical Modelling 36(10): 4847-4861.
• 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.
• Benkhaldoun, F. Seaid, M. & Sahmim, S. (2011). Mathematical development and verification of a finite volume model for morphodynamic flow applications. Advances in Applied Mathematics and Mechanics 3: 470-492.
• 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): 2087-2097.
• El-Amrani, M. & Seaid, M. (2011). An L²-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): 2073-2086.
• 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 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.
• 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.
• 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.
• Benkhaldoun, F. & Seaid, M. (2010). A simple finite volume method for the shallow water equations. Journal of Computational and Applied Mathematics 234(1): 58-72.
• El-Amrani, M. & Seaid, M. (2009). A Spectral Stochastic Semi-Lagrangian Method for Convection-Diffusion Equations with Uncertainty. Journal of Scientific Computing 39(3): 371-393.
• 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.
• 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.
• 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.
• 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.
• 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(6): 878-900.
• 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.
• Seaid, M. (2009). An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations. Applied Numerical Mathematics 59(3-4): 754-768.
• 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.
• 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.
• El-Amrani, M. & Seaid, M. (2008). A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer. SIAM Journal on Scientific Computing 30(6): 2734-2754.
• 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.
• 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.
• 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.
• 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.
• 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.
• Haslam, I. W., Crouch, R. S. & Seaïd, M. (2008). Coupled finite element–lattice Boltzmann analysis. Computer Methods in Applied Mechanics and Engineering 197(51-52): 4505–4511.
• Teleaga, I. & Seaid, M. (2008). Simplified radiative models for low-Mach number reactive flows. Applied Mathematical Modelling 32(6): 971-991.
• 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.
• 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.
• 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.
• 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.
• 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.