Mofdi El-Amrani
Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method
El-Amrani, Mofdi; Ouardghi, Abdelouahed; Seaid, Mohammed
Abstract
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, Coriolis and wind stresses coupled to an advection-diffusion equation with anisotropic dispersion tensor and source terms. The proposed numerical solver uses a multilevel adaptive semi-Lagrangian finite element method that combines various techniques, including the modified method of characteristics, finite element discretization, coupled projection scheme based on a rotational pressure correction algorithm, and an adaptive L2-projection. The approach employs the gradient of the concentration as an error indicator for enrichment adaptations and increasing the number of quadrature points where needed without refining the mesh. The method is shown to provide accurate and efficient simulations for pollution transport in the Mediterranean sea. The proposed approach distinguishes itself from the well-established adaptive finite element methods for incompressible viscous flows by retaining the same structure and dimension of linear systems during the adaptation process.
Citation
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
Journal Article Type | Article |
---|---|
Acceptance Date | Apr 22, 2024 |
Online Publication Date | May 10, 2024 |
Publication Date | 2024-09 |
Deposit Date | May 20, 2024 |
Publicly Available Date | Oct 30, 2024 |
Journal | Mathematics and Computers in Simulation |
Print ISSN | 0378-4754 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 223 |
Pages | 565-587 |
DOI | https://doi.org/10.1016/j.matcom.2024.04.028 |
Public URL | https://durham-repository.worktribe.com/output/2433288 |
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