A Semi-Implicit Semi-Lagrangian Finite Difference Method for the Simulation of the Hydrodynamics of a Pollutant in a Shallow Water Regimen

This paper deals with the simulation of the transport of a scalar non-interacting and non-dissipative pollutant in a shallow water environment. We present a semi-implicit semi-Lagrangian method for the discretization of the time variable involving the convective and advective terms coupled with a ce...

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Bibliographic Details
Published in:Journal of coastal research 2006-12, p.1606-1609
Main Authors: Carmona, M. Moura, Neto, F.D. Moura, Ferreira, F.F., van Hombeeck, M.
Format: Article
Language:English
Subjects:
Estuaries
Finite difference methods
Hydrodynamics
Pollution transport
Research methods
Scalars
Shallow water
Shallow water equations
Velocity distribution
Water pollution
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Summary:This paper deals with the simulation of the transport of a scalar non-interacting and non-dissipative pollutant in a shallow water environment. We present a semi-implicit semi-Lagrangian method for the discretization of the time variable involving the convective and advective terms coupled with a centered finite difference scheme for the space discretization of the shallow water equations together with an equation for a non-reacting and non-diffusive pollutant field. The linear terms, in the coupled equations for the pertubation of the water column, are responsible for the gravitational effects, and give rise to fast waves which can be handled by an implicit method resulting in a precise numerical scheme. This method allows the use of fine space resolution without incurring in severe time step restrictions (no CFL restriction). In this way reliable monitoring of pollutant fields is accomplished with low computational costs when compared with Eulerian methods.
ISSN:0749-0208
1551-5036