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Outputs (143)

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.

Directional enrichment functions for finite element solutions of transient anisotropic diffusion (2024)
Journal Article
Bahssini, A., Izem, N., Mohamed, M. S., & Seaid, M. (in press). 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, 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.

Evaluation of future temperature and precipitation projections in Morocco using the ANN-based multi-model ensemble from CMIP6 (2023)
Journal Article
Gumus, V., El Moçayd, N., Seker, M., & Seaid, M. (2023). Evaluation of future temperature and precipitation projections in Morocco using the ANN-based multi-model ensemble from CMIP6. Atmospheric Research, 292, Article 106880. https://doi.org/10.1016/j.atmosres.2023.106880

In present study, values of minimum temperature, maximum temperature and precipitation at 27 observation stations in Morocco are used to implement an artificial neural network based downscaling approach in order to simulate regional climate and to in... Read More about Evaluation of future temperature and precipitation projections in Morocco using the ANN-based multi-model ensemble from CMIP6.

Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material (2023)
Journal Article
Belhamadia, Y., & Seaid, M. (2023). Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material. Journal of Computational and Applied Mathematics, 434, Article 115342. https://doi.org/10.1016/j.cam.2023.115342

Anisotropic mesh adaptation is an efficient procedure for controlling the output error of finite element simulations, particularly when used for three-dimensional problems. In this paper, we present an enhanced computational algorithm based on an ani... Read More about Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material.

Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction (2023)
Journal Article

A new adaptive finite volume method is proposed for the simulation of the wave problems in the time domain. The transient wave equations are discretized in time and space. A vertex-centered finite volume method is constructed with both cell-centered... Read More about Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction.

A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography (2022)
Journal Article

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

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.

Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry (2021)
Journal Article

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.

A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation (2021)
Journal Article

A boundary element method formulation is developed and validated through the solution of problems governed by the diffusion-wave equation, for which the order of the time derivative, say α, ranges in the interval (1, 2). This fractional time derivati... Read More about A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation.

An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems (2021)
Journal Article

We propose an enriched Galerkin-characteristics finite element method for numerical solution of convection-dominated problems. The method uses the modified method of characteristics for the integration of the total derivative in time, combined with t... Read More about An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems.

Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies (2021)
Journal Article

Numerical solutions of wave problems are often influenced by uncertainties generated by a lack of knowledge of the input values related to the domain data and/or boundary conditions in the mathematical equations used in the modeling. Conventional met... Read More about Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies.

Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data (2020)
Journal Article

We propose an efficient inverse solver for identifying the diffusion coefficient based on few random measurements which can be contaminated with noise. We focus mainly on problems involving solutions with steep heat gradients common with sudden chang... Read More about Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data.

A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem (2020)
Journal Article

This work presents a boundary element method formulation for the solution of the anomalous diffusion problem. By keeping the fractional time derivative as it appears in the governing differential equation of the problem, and by employing a Weighted R... Read More about A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem.

A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids (2020)
Journal Article

A conservative semi-Lagrangian finite volume method is presented for the numerical solution of convection–diffusion problems on unstructured grids. The new method consists of combining the modified method of characteristics with a cell-centered finit... Read More about A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids.

Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions (2020)
Journal Article

Heat radiation in optically thick non-grey media can be well approximated with the Rosseland model which is a class of nonlinear diffusion equations with convective boundary conditions. The optical spectrum is divided into a set of finite bands with... Read More about Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions.

A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes (2020)
Journal Article

Slope limiters have been widely used to eliminate nonphysical oscillations near discontinuities generated by finite volume methods for hyperbolic systems of conservation laws. In this study, we investigate the performance of these limiters as applied... Read More about A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes.

Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement (2020)
Journal Article

We propose a high-order enriched partition of unity finite element method for linear and nonlinear time-dependent diffusion problems. The solution of this class of problems often exhibits non-smooth features such as steep gradients and boundary layer... Read More about Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement.

A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials (2020)
Journal Article

Nonlinear transient heat transfer in functionally graded materials is being studied more popular in present. In preliminary design, this problem can be simplified as a composite, and a three-dimensional transient heat transfer analysis is used to adj... Read More about A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials.

Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition (2019)
Journal Article

We propose a non-intrusive stochastic model reduction method for polynomial chaos representation of acoustic problems using proper orthogonal decomposition. The random wavenumber in the well-established Helmholtz equation is approximated via the poly... Read More about Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition.

Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media (2019)
Journal Article

In this paper we present a multi-hp adaptive discontinuous Galerkin method for 3D simplified approximations of radiative transfer in non-gray media capable of reaching accuracies superior to most of methods in the literature. The simplified models ar... Read More about Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media.

Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems (2019)
Journal Article

We present a partition of unity finite element method for wave propagation problems in the time domain using an explicit time integration scheme. Plane wave enrichment functions are introduced at the finite elements nodes which allows for a coarse me... Read More about Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems.

Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering (2019)
Journal Article

The aim of this paper is to accurately solve short wave scattering problems governed by the Helmholtz equation using the Bernstein-Bezier Finite Element method (BBFEM), combined with a conformal perfectly matched layer (PML). Enhanced PMLs, where cur... Read More about Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering.

Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation (2018)
Journal Article

We investigate the inverse problem of identifying the wavenumber for the Helmholtz equation. The problem solution is based on measurements taken at few points from inside the computational domain or on its boundary. A novel iterative approach is prop... Read More about Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation.

hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer (2015)
Journal Article

We investigate the performance of a class of hp-adaptive discontinuous Galerkin methods for the numerical solution of simplified PN approximations of radiative transfer in non-grey semitransparent media. By introducing an optical scale and using asym... Read More about hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer.

Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media (2013)
Journal Article

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

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.

A finite volume method for scalar conservation laws with stochastic time-space dependent flux function (2013)
Journal Article

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.

Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems. (2008)
Presentation / Conference Contribution

In this talk some recent numerical results based on discrete-velocity relaxation systems will be presented. Discrete-velocity equations are derived from continuous Boltzmann-type equations with appropriate approximations suitable for incompressible f... Read More about Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems..

Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes (2007)
Journal Article

Pollutant transport by shallow water flows on non-flat topography is presented and numerically solved using a finite volume scheme. The method uses unstructured meshes, incorporates upwinded numerical fluxes and slope limiters to provide sharp resolu... Read More about Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes.