Journal of Applied Mathematics

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

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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.

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J. Appl. Math., Volume 2013 (2013), Article ID 642485, 12 pages.

First available in Project Euclid: 14 March 2014

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Vosoughifar, Hamid Reza; Dolatshah, Azam; Sadat Shokouhi, Seyed Kazem. Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method. J. Appl. Math. 2013 (2013), Article ID 642485, 12 pages. doi:10.1155/2013/642485.

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