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Multi-mode models of flow and of solute dispersion in shallow water. Part 1. General derivation

Published online by Cambridge University Press:  26 April 2006

Ronald Smith
Affiliation:
Department of Mathematical Sciences, Loughborough University of Technology, LE11 3TU, UK

Abstract

Instead of considering just the vertically averaged current and the vertically averaged concentration, a multi-mode model is derived in which more of the vertical structure can be computed directly rather than being lumped into a dispersion coefficient. Test cases, of laminar flows, are used to quantify the accuracy of the lowest non-trivial truncation (two modes) in replicating both the flow and the dispersion process.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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