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Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method

El-Amrani, Mofdi; Ouardghi, Abdelouahed; Seaid, Mohammed

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Authors

Mofdi El-Amrani

Abdelouahed Ouardghi



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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