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2013 Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method
Hamid Reza Vosoughifar, Azam Dolatshah, Seyed Kazem Sadat Shokouhi
J. Appl. Math. 2013: 1-12 (2013). DOI: 10.1155/2013/642485

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.

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Hamid Reza Vosoughifar. Azam Dolatshah. Seyed Kazem Sadat Shokouhi. "Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method." J. Appl. Math. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/642485

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.65150
Digital Object Identifier: 10.1155/2013/642485

Rights: Copyright © 2013 Hindawi

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