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

Hamid Reza Vosoughifar, Azam Dolatshah and Seyed Kazem Sadat Shokouhi

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/642485

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:642485

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