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Analysis of a second‐order upwind method for the simulation of solute transport in 2D shallow water flow
Author(s) -
Murillo J.,
GarcíaNavarro P.,
Burguete J.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1546
Subject(s) - upwind scheme , discretization , finite volume method , flow (mathematics) , convection–diffusion equation , mechanics , diffusion , mathematics , space (punctuation) , mathematical analysis , thermodynamics , computer science , physics , operating system
A 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. Copyright © 2007 John Wiley & Sons, Ltd.