Lattice Boltzmann Method for 2D Tidal Flow: Application to the Nador Lagoon
Year: 2025
Author: Ali Haddach, Hassan Smaoui, Bouchaib Radi
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 3 : pp. 922–955
Abstract
The lattice Boltzmann method is a relatively modern method. It has been
widely applied to industrial flows (for small scales) governed by the Navier Stokes
equations, but little applied to large-scale flows, such as geophysical flows. In this paper, we then attempt to apply the lattice Boltzmann method to coastal flows governed
by the Saint-Venant equations (also called Shallow water equations) via an application
to the real case of the Nador lagoon (Moroccan Mediterranean coast).
The establishment of the equations of the model and their discretization is given here.
The introduction of turbulence by the large eddy simulations was also presented. The
verification of the developed code concerns two test cases in hydraulic engineering.
The first verification test deals with complex flow in a 180◦ bent channel. For this
case, the model has faithfully reproduced all the characteristics of this flow (pressure/depression zone and the recirculation zone after the bend). Similarly, the results
of this test case have been successfully compared to measurements available in the literature. The second verification test analyzes the flow around a spur-dike. Finally, the
developed code has been adapted for its application to the real case of the Nador lagoon whose flow is generated by the superposition of the tidal waves M2 and S2. The
model reproduced with good accuracy the dynamics of the flow and more particularly
the two vortices observed on both sides of the lagoon inlet. The founding results are
successfully compared with the results of previous studies published for the lagoon.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2023-0122
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 3 : pp. 922–955
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 34
Keywords: Lattice Boltzmann method multiple relaxation time shallow water equation Nador lagoon tidal wave.
Author Details
Ali Haddach Email
Hassan Smaoui Email
Bouchaib Radi Email