TECHNICAL PAPERS
Mar 15, 2004

Numerical Prediction of Dam-Break Flows in General Geometries with Complex Bed Topography

Publication: Journal of Hydraulic Engineering
Volume 130, Issue 4

Abstract

Dam-break flows in general geometries with complex bed topography are simulated numerically using a high-resolution Godunov-type cut cell method. The model is based on the shallow water equations with appropriate source terms. A vertical step in the bed is treated efficiently and accurately with the surface gradient method. For dam-break flows occurring in complicated geometries, the Cartesian cut cell method together with transmissive boundary conditions is incorporated. Verification of the method is carried out by predicting dam-break flows typical of practical situations, i.e., dam-break flows over a vertical step into bent channels and a dam-break flow over a bump in a bed with both transmissive and reflective boundary conditions at the channel end. The results are compared with experimental data showing good agreement. The method is simple, efficient, and conservative. It shows promise for handling a wide range of dam-break flows.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 130Issue 4April 2004
Pages: 332 - 340

History

Received: Dec 27, 2001
Accepted: Apr 9, 2003
Published online: Mar 15, 2004
Published in print: Apr 2004

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Authors

Affiliations

Jian G. Zhou
Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan Univ., John Dalton Building, Chester St., Manchester M1 5GD, UK.
Derek M. Causon
Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan Univ., John Dalton Building, Chester St., Manchester M1 5GD, UK.
Clive G. Mingham
Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan Univ., John Dalton Building, Chester St., Manchester M1 5GD, UK.
David M. Ingram
Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan Univ., John Dalton Building, Chester St., Manchester M1 5GD, UK.

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