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A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems (2022)
Journal Article
El-Amrani, M., Kacimi, A. E., Khouya, B., & Seaid, M. (2023). A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems. Computer Methods in Applied Mechanics and Engineering, 403, Article 115758. https://doi.org/10.1016/j.cma.2022.115758

We present a high-order Bernstein–Bézier finite element discretization to accurately solve three-dimensional advection-dominated problems on unstructured tetrahedral meshes. The key idea consists of implementing a modified method of characteristics t... Read More about A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems.

An iterative scheme for solving a coupled Darcy–convection–diffusion model (2022)
Journal Article
El-Amrani, M., Salhi, L., Seaid, M., & Yakoubi, D. (2023). An iterative scheme for solving a coupled Darcy–convection–diffusion model. Journal of Mathematical Analysis and Applications, 517(2), Article 126603. https://doi.org/10.1016/j.jmaa.2022.126603

We present an iterative scheme for the numerical analysis of a class of coupled Darcy-convection-diffusion problems modelling flow and heat transfer in porous media. The governing equations consist of the Darcy equations for the flow coupled to a con... Read More about An iterative scheme for solving a coupled Darcy–convection–diffusion model.

Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems (2022)
Journal Article
El-Amrani, M., El-Kacimi, A., Khouya, B., & Seaid, M. (2022). Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems. Journal of Scientific Computing, 92(2), Article 58. https://doi.org/10.1007/s10915-022-01888-7

A class of Bernstein-Bézier basis based high-order finite element methods is developed for the Galerkin-characteristics solution of convection-diffusion problems. The Galerkin-characteristics formulation is derived using a semi-Lagrangian discretizat... Read More about Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems.

Simplified finite element approximations for coupled natural convection and radiation heat transfer (2022)
Journal Article
Albadr, J., El-Amrani, M., & Seaid, M. (2023). Simplified finite element approximations for coupled natural convection and radiation heat transfer. Numerical Heat Transfer, Part A Applications, 83(5), 478-502. https://doi.org/10.1080/10407782.2022.2091897

This article focuses on the effect of radiative heat on natural convection heat transfer in a square domain inclined with an angle. The left vertical wall of the enclosure is heated while maintaining the vertical right wall at room temperature with b... Read More about Simplified finite element approximations for coupled natural convection and radiation heat transfer.

A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography (2022)
Journal Article
Izem, N., & Seaid, M. (2022). 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(3), 725-758. https://doi.org/10.4208/aamm.oa-2020-0364

A well-balanced Runge-Kutta discontinuous Galerkin method is presented for the numerical solution of multilayer shallow water equations with mass exchange and non-flat bottom topography. The governing equations are reformulated as a nonlinear system... Read More about A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography.

A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations (2022)
Journal Article
Asmouh, I., El-Amrani, M., Seaid, M., & Yebari, N. (2022). A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations. Computational and mathematical methods, 2022, Article 8192192. https://doi.org/10.1155/2022/8192192

A cell-centered finite volume semi-Lagrangian method is presented for the numerical solution of two-dimensional coupled Burgers’ problems on unstructured triangular meshes. The method combines a modified method of characteristics for the time integra... Read More about A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations.

A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows (2021)
Journal Article
Al-Ghosoun, A., El Moçayd, N., & Seaid, M. (2021). A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows. Environmental Modelling and Software, 144, Article 105176. https://doi.org/10.1016/j.envsoft.2021.105176

In this study, we investigate the implementation of a Proper Orthogonal Decomposition (POD) Polynomial Chaos Expansion (PCE) POD-PCE surrogate model for the propagation and quantification of the uncertainty in hydraulic modelling. The considered mode... Read More about A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows.

Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry (2021)
Journal Article
El Moçayd, N., & Seaid, M. (2021). Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry. Reliability Engineering & System Safety, 216, https://doi.org/10.1016/j.ress.2021.107923

Mine transportation through hydraulic pipelines is increasingly used by various industries around the world. In Morocco, this has been implemented for the case of phosphate transportation. This allows to increase the production and reduce the transpo... Read More about Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry.