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Simulations of Dam-Break Flows Using Free Surface Capturing Method

Published online by Cambridge University Press:  05 May 2011

W.-Y. Chang ,
L.-C. Lee ,
H.-C. Lien  and
J.-S. Lai
W.-Y. Chang*
Affiliation:
National Center for High-Performance Computing, Hsinchu, Taiwan 10608, R.O.C
L.-C. Lee*
Affiliation:
National Center for High-Performance Computing, Hsinchu, Taiwan 10608, R.O.C
H.-C. Lien*
Affiliation:
National Center for High-Performance Computing, Hsinchu, Taiwan 10608, R.O.C
J.-S. Lai*
Affiliation:
Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Associate Researcher
* Associate Researcher
* Associate Researcher
** Associate Research Fellow, corresponding author
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Abstract

A model adopting the surface capturing method is developed for the simulation of dam-break flows by solving the Navier-Stokes equations of weakly compressible and variable density flows in open channels. Due to the characteristics of weakly compressible flow equations, a compressibility parameter describing the compressibility of fluid is determined to obtain the time-accurate flow fields in both liquid and gas regions simultaneously. Accordingly, the location of free surface can be captured as a discontinuity of the density field for dam-break flow simulations. The numerical algorithm in the proposed method is based on the framework of the finite volume method for discretization in space. To deal with the discontinuity property of fluid density near the free surface, the TVD-MUSCL scheme is adopted to overcome numerical oscillations and dissipation. For discretization in time, the explicit 4-stage Runge-Kutta scheme is employed in the model. Finally, several typical dam-break flow problems in open channel are simulated to demonstrate the validation and applicability of the proposed model.

Keywords

Weakly compressible flowsSurface capturing methodTVD-MUSCL schemeDam-Break flows
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 4 , December 2008 , pp. 391 - 403
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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