Improved HLL Scheme for 1D Dam-Break Flows over Complex Topography

• Autorzy: Ying X. , Wang S. S. Y.
• Języki publikacji: EN

Abstrakty

EN

It has been discovered that the shallow water model based on approximate Riemann solvers can produce unrealistic flows in the case of uneven topography and inaccurate solutions of discharge near hydraulic jumps. To overcome these deficiencies, we proposed a new approach to implement the HLL Riemann solver for open channel flows, including: (1) adopting a form of Saint Venant equations which have only one source term representing driving forces; (2) defining discharge at interface and evaluating it according to the flux obtained by the HLL Riemann solver. In this paper, the performance of this new method is evaluated by means of dam-break flows over a channel with triangular cross-section and a natural river valley with complex topography, respectively. Comparisons of computed results with analytic solutions and data measured from the physical model show that the proposed method is capable of satisfactorily reproducing dam-break flows over complex topography.

Słowa kluczowe

EN

dam-break flow; HLL approximate Riemann solver; finite volume method; Saint-Venant equations

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2010
• Tom: Vol. 57, nr 1
• Strony: 31--41
• Opis fizyczny: Bibliogr. 10 poz., il.

Twórcy

autor

Ying X.

autor

Wang S. S. Y.

• National Center for Computational Hydroscience and Engineering, The University of Mississippi, MS38677, USA,

Bibliografia

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• 3. Henderson F. M. (1966) Open Channel Flow, McGraw Hill Publishing, New York.
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• 5. Rosu C., Ahmed M. (1999) Toce River Dam-Break Test Case – A Comparison Between the ISIS Numerical Model and the Physical Model, Proc. of the 3rdCADAM workshop, Milan, Italy.
• 6. Soares Frazao S., Morris M., Zech Y. (2000) CADAM Project CD-ROM, Produced by Hydraulics Division, Civil Engrg. Dept., Univ. Catholique de Louvain, Belgium.
• 7. Soares Frazao S., Zech Y. (1999) Computation of Extreme Flood Flow Through the Toce Valley, Proc. of the 3rdCADAM workshop, Milan, Italy.
• 8. Toro E. F. (2001) Shock-Capturing Methods for Free-Surface Shallow Flows, John Wiley & Sons Ltd.
• 9. Ying X., Wang S. S. Y. (2008) Improved implementation of the HLL approximate Riemann solver for one-dimensional open channel flows, J. of Hydraul. Research, 46 (1), 21–34.
• 10. Zoppou C., Roberts S. (2003) Explicit Schemes for Dam-Break Simulations, J. Hydraul. Engrg, 129 (1), 11–34.