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

Q Liang, AGL Borthwick*, G Stelling

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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 (C) 2004 John Wiley Sons, Ltd.

Original languageEnglish
Pages (from-to)127-162
Number of pages36
JournalInternational Journal for Numerical Methods in Fluids
Volume46
Issue number2
DOIs
Publication statusPublished - 20 Sep 2004

Keywords

  • dam/dyke break
  • shallow water equations
  • Godunov-type scheme
  • HLLC approximate
  • Riemann solver
  • NWSCL-Hancock method
  • adaptive quadtree grid
  • SHALLOW-WATER EQUATIONS
  • FINITE-VOLUME METHOD
  • CONSERVATIVE DIFFERENCE SCHEME
  • GODUNOV-TYPE SCHEME
  • NUMERICAL-SIMULATION
  • FLOW SIMULATION
  • MODEL
  • VERIFICATION
  • GENERATION
  • LAWS

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