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Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method

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  • Hamid Reza Vosoughifar
  • Azam Dolatshah
  • Seyed Kazem Sadat Shokouhi

Abstract

This paper was concerned to simulate both wet and dry bed dam break problems. A high-resolution finite volume method (FVM) was employed to solve the one-dimensional (1D) and two-dimensional (2D) shallow water equations (SWEs) using an unstructured Voronoi mesh grid. In this attempt, the robust local Lax-Friedrichs (LLxF) scheme was used for the calculating of the numerical flux at cells interfaces. The model named V-Break was run under the asymmetry partial and circular dam break conditions and then verified by comparing the model outputs with the documented results. Due to a precise agreement between those output and documented results, the V-Break could be considered as a reliable method for dealing with shallow water (SW) and shock problems, especially those having discontinuities. In addition, statistical observations indicated a good conformity between the V-Break and analytical results clearly.

Suggested Citation

  • Hamid Reza Vosoughifar & Azam Dolatshah & Seyed Kazem Sadat Shokouhi, 2013. "Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, March.
    • Handle: RePEc:hin:jnljam:642485
    DOI: 10.1155/2013/642485
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    Cited by:

    1. Zaher Mundher Yaseen & Ameen Mohammed Salih Ameen & Mohammed Suleman Aldlemy & Mumtaz Ali & Haitham Abdulmohsin Afan & Senlin Zhu & Ahmed Mohammed Sami Al-Janabi & Nadhir Al-Ansari & Tiyasha Tiyasha &, 2020. "State-of-the Art-Powerhouse, Dam Structure, and Turbine Operation and Vibrations," Sustainability, MDPI, vol. 12(4), pages 1-40, February.

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