The Numerical Simulation of Pollutant Transport in Shallow Water Flows
Kissami Imad and Ziggaf Moussa
Published: December 30, 2021
Abstract
A real test using the finite volume method is presented for the numerical simulation of the pollutant transport by water flows. Shallow water equations, bottom friction forces, wind shear stresses, and Coriolis effect are used to model the water flow while a transport-diffusion equation is used to model the advection and dispersion of the pollutant concentration. The finite volume method used has been the subject of several works (see e.g. [3, 4, 17]) it is a simple discretization of centered type for the source terms, can handle complex topography by using non-uniform triangular grids while keeping the conservation property. The C-property based on checking the balance between the convection term and the background profile is satisfied. The monitoring of the pollutant concentration in the computational domain during its dispersion process is taken into account. The focus of this study is on an application of pollution dispersion in the Nador lagoon in Morocco. The results are presented using different tidal conditions and wind-induced flow fields in the lagoon.
Keywords: Well balanced scheme; Complex topography; Shallow water flows; Finite volume method; Pollutant transport