On High Resolution Finite Volume Modelling Of Discontinuous Solutions Of The Shallow Water Equations
Price
Free (open access)
Transaction
Volume
30
Pages
10
Published
1997
Size
844 kb
Paper DOI
10.2495/CE970051
Copyright
WIT Press
Author(s)
C.G. Mingham and D.M. Causon
Abstract
An explicit time-marching finite volume method is described for solving the shallow water equations on boundary-fitted grids. The method is robust, flexible, and provides high resolution of flow discontinuities. Such discontinuous flow features correspond physically to phenomena like hydraulic jumps and bore waves caused, for example, by changes in channel geometry or particular tidal and bed conditions. The method is based on an upwind scheme of the Godunov type which are currently popular in aeronautical CFD. It uses cell-centred collocated data which is extrapolated to cell interfaces using a MUSCL reconstruction approach and slope limiters, thereby effectively eliminating
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