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Analysis of a second-order upwind method for the simulation of solute transport in 2D shallow water flow

AuthorsMurillo, J.; García-Navarro, Pilar; Burguete Tolosa, Javier
Coupled system
Finite volumes
Source terms
Two-dimensional model
Computational fluid dynamics
Finite volume method
Solute transport
First-order upwind technique
Shallow water flow
Flow of water
Issue DateFeb-2008
PublisherJohn Wiley & Sons
CitationInternational Journal for Numerical Methods in Fluids 56 (6): 661-686 (2008)
AbstractA two-dimensional model for the simulation of solute transport by convection and diffusion into shallow water flow over variable bottom is presented. It is based on a finite volume method over triangular unstructured grids. A first-order upwind technique, a second order in space and time and an extended first-order method are applied to solve the non-diffusive terms in both the flow and solute equations and a centred implicit discretization is applied to the diffusion terms. The stability constraints are studied and the form to avoid oscillatory results in the solute concentration in the presence of complex flow situations is detailed. Some comparisons are carried out in order to show the performance in terms of accuracy of the different options.
Publisher version (URL)http://dx.doi.org/10.1002/fld.1546
Identifiersdoi: 10.1002/fld.1546
issn: 0271-2091
Appears in Collections:(EEAD) Artículos
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