Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method
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...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/642485 |
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| author | Hamid Reza Vosoughifar Azam Dolatshah Seyed Kazem Sadat Shokouhi |
| author_facet | Hamid Reza Vosoughifar Azam Dolatshah Seyed Kazem Sadat Shokouhi |
| author_sort | Hamid Reza Vosoughifar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5afae39ed3ae4a7bba313bd1c80b9036 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5afae39ed3ae4a7bba313bd1c80b90362025-02-03T01:10:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/642485642485Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume MethodHamid Reza Vosoughifar0Azam Dolatshah1Seyed Kazem Sadat Shokouhi2Department of Civil Engineering, Islamic Azad University, South Tehran Branch, 17776 Tehran, IranDepartment of Civil Engineering, Islamic Azad University, Dezful Branch, Khuzestan, 313 Dezful, IranDepartment of Civil Engineering, Islamic Azad University, South Tehran Branch, 17776 Tehran, IranThis 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.http://dx.doi.org/10.1155/2013/642485 |
| spellingShingle | 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 Journal of Applied Mathematics |
| title | Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method |
| title_full | Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method |
| title_fullStr | Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method |
| title_full_unstemmed | Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method |
| title_short | Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method |
| title_sort | discretization of multidimensional mathematical equations of dam break phenomena using a novel approach of finite volume method |
| url | http://dx.doi.org/10.1155/2013/642485 |
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