Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids

Flooding due to the failure of a dam or dyke has potentially disastrous consequences. This paper presents a Godunov‐type finite volume solver of the shallow water equations based on dynamically adaptive quadtree grids. The Harten, Lax and van Leer approximate Riemann solver with the Contact wave res...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2004-09, Vol.46 (2), p.127-162
Main Authors: Liang, Q., Borthwick, A. G. L., Stelling, G.
Format: Article
Language:English
Subjects:
adaptive quadtree grid
Applied sciences
Buildings. Public works
Computational methods in fluid dynamics
dam/dyke break
Dams and subsidiary installations
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Godunov-type scheme
HLLC approximate Riemann solver
Hydraulic constructions
MUSCL-Hancock method
Physics
shallow water equations
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Summary:Flooding due to the failure of a dam or dyke has potentially disastrous consequences. This paper presents a Godunov‐type finite volume solver of the shallow water equations based on dynamically adaptive quadtree grids. The Harten, Lax and van Leer approximate Riemann solver with the Contact wave restored (HLLC) scheme is used to evaluate interface fluxes in both wet‐ and dry‐bed applications. The numerical model is validated against results from alternative numerical models for idealized circular and rectangular dam breaks. Close agreement is achieved with experimental measurements from the CADAM dam break test and data from a laboratory dyke break undertaken at Delft University of Technology. Copyright © 2004 John Wiley Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.748