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Dr Mohammed Seaid's Outputs (152)

A stable second-order splitting method for incompressible Navier–Stokes equations using the scalar auxiliary variable approach (2025)
Journal Article
Obbadi, A., El-Amrani, M., Seaid, M., & Yakoubi, D. (2025). A stable second-order splitting method for incompressible Navier–Stokes equations using the scalar auxiliary variable approach. Computer Methods in Applied Mechanics and Engineering, 437, Article 117801. https://doi.org/10.1016/j.cma.2025.117801

We propose a novel second-order fractional-step method for the numerical solution of incompressible Navier–Stokes equations. This fractional-step method consists of two splitting steps and it employs the second-order implicit backward differentiation... Read More about A stable second-order splitting method for incompressible Navier–Stokes equations using the scalar auxiliary variable approach.

A novel approach for modelling stress fields induced by shallow water flows on movable beds (2025)
Journal Article
Al-Ghosoun, A., Seaid, M., & Osman, A. S. (2025). A novel approach for modelling stress fields induced by shallow water flows on movable beds. Applied Mathematical Modelling, 142, Article 115960. https://doi.org/10.1016/j.apm.2025.115960


Sediment transport in shallow waters occurs when the water flows over the bed for which the amount of generated sediments can be determined from the transport mechanism caused by the consequent flow. Recently, investigating the bed... Read More about A novel approach for modelling stress fields induced by shallow water flows on movable beds.

Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change (2024)
Journal Article
Moutahir, F.-E., Belhamadia, Y., Seaid, M., & El-Amrani, M. (2024). Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change. Computers and Mathematics with Applications, 176, 432-446. https://doi.org/10.1016/j.camwa.2024.11.005

A class of mathematical models are proposed for modelling and numerical simulation of coupled radiative and conductive heat transfer in non-grey absorbing and emitting media under phase change. Progress in this area of mathematical... Read More about Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change.

Machine Learning-Based Modeling for Structural Engineering: A Comprehensive Survey and Applications Overview (2024)
Journal Article
Etim, B., Al-Ghosoun, A., Renno, J., Seaid, M., & Mohamed, M. S. (2024). Machine Learning-Based Modeling for Structural Engineering: A Comprehensive Survey and Applications Overview. Buildings, 14(11), Article 3515. https://doi.org/10.3390/buildings14113515

Modeling and simulation have been extensively used to solve a wide range of problems in structural engineering. However, many simulations require significant computational resources, resulting in exponentially increasing computational time as the spa... Read More about Machine Learning-Based Modeling for Structural Engineering: A Comprehensive Survey and Applications Overview.

A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids (2024)
Journal Article
El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2025). A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids. Communications in Nonlinear Science and Numerical Simulation, 140, Article 108350. https://doi.org/10.1016/j.cnsns.2024.108350

We propose a fractional-step method for the numerical solution of unsteady thermal convection in non-Newtonian fluids with temperature-dependent physical parameters. The proposed method is based on a viscosity-splitting approach, and it consists of f... Read More about A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids.

High-order spline finite element method for solving time-dependent electromagnetic waves (2024)
Journal Article
El-Barkani, I., El-Hadouti, I., Addam, M., & Seaid, M. (2024). High-order spline finite element method for solving time-dependent electromagnetic waves. Applied Numerical Mathematics, 206, 48-74. https://doi.org/10.1016/j.apnum.2024.08.002

In this paper we propose a high-order spline finite element method for solving a class of time-dependent electromagnetic waves and its associated frequency-domain approach. A Fourier transform and its inverse are used for the time integration of the... Read More about High-order spline finite element method for solving time-dependent electromagnetic waves.

Future projection of droughts in Morocco and potential impact on agriculture (2024)
Journal Article
Gumus, V., El Moçayd, N., Seker, M., & Seaid, M. (2024). Future projection of droughts in Morocco and potential impact on agriculture. Journal of Environmental Management, 367, Article 122019. https://doi.org/10.1016/j.jenvman.2024.122019


The present study evaluates the future drought hazard in Morocco using a Multi-Model Ensemble (MME) approach. First, the artificial neural network-based MME is constructed using the General Circulation Models (GCMs) from the Climat... Read More about Future projection of droughts in Morocco and potential impact on agriculture.

Unsupervised stochastic learning and reduced order modelling for global sensitivity analysis in cardiac electrophysiology models (2024)
Journal Article
El Moçayd, N., Belhamadia, Y., & Seaid, M. (in press). Unsupervised stochastic learning and reduced order modelling for global sensitivity analysis in cardiac electrophysiology models. Computer Methods and Programs in Biomedicine, https://doi.org/10.1016/j.cmpb.2024.108311


Background and Objective:
Numerical simulations in electrocardiology are often affected by various uncertainties inherited from the lack of precise knowledge regarding input values including those related to the c... Read More about Unsupervised stochastic learning and reduced order modelling for global sensitivity analysis in cardiac electrophysiology models.

Climate-informed flood risk mapping using a GAN-based approach (ExGAN) (2024)
Journal Article
Belhajjam, R., Chaqdid, A., Yebari, N., Seaid, M., & Moçayd, N. E. (2024). Climate-informed flood risk mapping using a GAN-based approach (ExGAN). Journal of Hydrology, 638, Article 131487. https://doi.org/10.1016/j.jhydrol.2024.131487

This study develops a class of robust models for flood risk mapping in highly vulnerable regions by focusing on accurately depicting extreme precipitation patterns aligned with regional climates. By implementing sophisticated hydrodynamics modeling a... Read More about Climate-informed flood risk mapping using a GAN-based approach (ExGAN).

A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity (2024)
Journal Article
El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2024). A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity. Computer Methods in Applied Mechanics and Engineering, 429, Article 117103. https://doi.org/10.1016/j.cma.2024.117103

A fractional-step method is proposed and analyzed for solving the incompressible thermal Navier–Stokes equations coupled to the convection–conduction equation for heat transfer with a generalized source term for which the viscosity and thermal conduc... Read More about A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity.

An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions (2024)
Journal Article
Obbadi, A., El-Amrani, M., Seaid, M., & Yakoubi, D. (2024). An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions. Computers and Mathematics with Applications, 167, 92-109. https://doi.org/10.1016/j.camwa.2024.05.010

Generalized Newtonian fluids are challenging to solve using the standard projection or fractional-step methods which split the diffusion term from the incompressibility constraint during the time integration process. Most of this class numerical meth... Read More about An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions.

Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method (2024)
Journal Article
El-Amrani, M., Ouardghi, A., & Seaid, M. (2024). Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method. Mathematics and Computers in Simulation, 223, 565-587. https://doi.org/10.1016/j.matcom.2024.04.028

This paper presents a novel numerical method for simulating the transport and dispersion of pollutants in the Mediterranean sea. The governing mathematical equations consist of a barotropic ocean model with friction terms, bathymetric forces, Corioli... Read More about Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method.

UKACM Proceedings 2024 (2024)
Presentation / Conference Contribution
(2024, April). UKACM Proceedings 2024. Presented at 2024 UK Association for Computational Mechanics Conference, Durham, UK

The proceedings present 52 scientific papers written for the 32nd conference of the UK Association for Computational Mechanics (UKACM). The papers submitted to UKACM 2024 cover the breadth of computational mechanics research within the UK and beyond... Read More about UKACM Proceedings 2024.

Directional enrichment functions for finite element solutions of transient anisotropic diffusion (2024)
Journal Article
Bahssini, A., Izem, N., Mohamed, M. S., & Seaid, M. (2024). Directional enrichment functions for finite element solutions of transient anisotropic diffusion. Computers and Mathematics with Applications, 163, 42-55. https://doi.org/10.1016/j.camwa.2024.03.016


The present study proposes a novel approach for efficiently solving an anisotropic transient diffusion problem using an enriched finite element method. We develop directional enrichment for the finite elements in the spatial discre... Read More about Directional enrichment functions for finite element solutions of transient anisotropic diffusion.

A fully coupled dynamic water-mooring line system: Numerical implementation and applications (2024)
Journal Article
Zheng, X., Seaid, M., & Osman, A. S. (2024). A fully coupled dynamic water-mooring line system: Numerical implementation and applications. Ocean Engineering, 294, Article 116792. https://doi.org/10.1016/j.oceaneng.2024.116792

Several numerical challenges exist in the analysis of water-mooring line systems which require robust, yet practical, methods to address this type of fully coupled nonlinear dynamic problems. The present study proposes a novel class of numerical tech... Read More about A fully coupled dynamic water-mooring line system: Numerical implementation and applications.

Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows (2023)
Journal Article
El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2024). Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows. Computer Methods in Applied Mechanics and Engineering, 419, Article 116639. https://doi.org/10.1016/j.cma.2023.116639

A time fractional-step method is presented for numerical solutions of the incompressible non-Newtonian fluids for which the viscosity is non-linear depending on the shear-rate magnitude according to a generic model. The method belongs to a class of v... Read More about Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows.

A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar (2023)
Journal Article
Ouardghi, A., Seaid, M., El‐Amrani, M., & El Mocayd, N. (2023). A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar. International Journal for Numerical Methods in Fluids, 96(3), 336-363. https://doi.org/10.1002/fld.5248

We present a numerical method for modelling and simulation of transport and dispersion of phosphogypsum in the Jorf Lasfar coastal zone located on the Atlantic Ocean at Morocco. The governing equations consist of the well-established barotropic ocean... Read More about A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar.

Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media (2023)
Journal Article
Salhi, L., Seaid, M., & Yakoubi, D. (2024). Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media. Computer Methods in Applied Mechanics and Engineering, 418(Part A), Article 116524. https://doi.org/10.1016/j.cma.2023.116524

We present an iterative scheme for the numerical analysis of propagating reaction front problems in porous media satisfying an Arrhenius-type law. The governing equations consist of the Darcy equations for the pressure and flow field coupled to two c... Read More about Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media.

A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds (2023)
Journal Article
Zheng, X., Seaid, M., Pisanò, F., Hicks, M. A., Vardon, P. J., Huvaj, N., & Osman, A. S. (2023). A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds. Computers and Geotechnics, 162(October), Article 105673. https://doi.org/10.1016/j.compgeo.2023.105673

A hybrid material point/finite volume method for the numerical simulation of shallow water waves caused by large dynamic deformations in the bathymetry is presented. The proposed model consists of coupling the nonlinear shallow water equations for th... Read More about A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds.