A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar

Ouardghi, Abdelouahed; Seaid, Mohammed; El‐Amrani, Mofdi; El Mocayd, Nabil

Abstract

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 model including the barometric pressure, friction terms, Coriolis and wind stresses. To model transport and dispersion of phosphogypsum we consider an advection-diffusion equation with an anisotropic dispersion tensor and source terms. As a numerical solver, we propose a novel multilevel adaptive semi-Lagrangian finite element method. The proposed method combines the modified method of characteristics to deal with convection terms, the finite element discretization to handle complex geometries, a projection-based algorithm to solve the Stokes problem, and an adaptive L2-projection using quadrature rules to improve the efficiency and accuracy of the method. Numerical results are presented to demonstrate the high resolution of the proposed method and to confirm its capability to provide accurate and efficient simulations for transport and dispersion of phosphogypsum in the Jorf Lasfar coastal zone.

Citation

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

• Journal Article Type: Article
• Acceptance Date: Oct 22, 2023
• Online Publication Date: Nov 13, 2023
• Publication Date: 2023
• Deposit Date: Nov 16, 2023
• Publicly Available Date: Nov 27, 2023
• Journal: International Journal for Numerical Methods in Fluids
• Print ISSN: 0271-2091
• Electronic ISSN: 1097-0363
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 3
• Pages: 336-363
• DOI: https://doi.org/10.1002/fld.5248
• Public URL: https://durham-repository.worktribe.com/output/1930983