1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method
The purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/489269 |
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| author | Szu-Hsien Peng |
| author_facet | Szu-Hsien Peng |
| author_sort | Szu-Hsien Peng |
| collection | DOAJ |
| description | The purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam-break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non-Newtonian fluid or multilayers fluid flow. |
| format | Article |
| id | doaj-art-0dbcb84ab45145e7b808a6dccd7b7285 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0dbcb84ab45145e7b808a6dccd7b72852025-02-03T01:11:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/4892694892691D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume MethodSzu-Hsien Peng0Department of Spatial Design, Chienkuo Technology University, Number 1, Chieh Shou N. Road, Changhua City 500, TaiwanThe purpose of this study is to model the flow movement in an idealized dam-break configuration. One-dimensional and two-dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one-dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam-break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non-Newtonian fluid or multilayers fluid flow.http://dx.doi.org/10.1155/2012/489269 |
| spellingShingle | Szu-Hsien Peng 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method Journal of Applied Mathematics |
| title | 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method |
| title_full | 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method |
| title_fullStr | 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method |
| title_full_unstemmed | 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method |
| title_short | 1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method |
| title_sort | 1d and 2d numerical modeling for solving dam break flow problems using finite volume method |
| url | http://dx.doi.org/10.1155/2012/489269 |
| work_keys_str_mv | AT szuhsienpeng 1dand2dnumericalmodelingforsolvingdambreakflowproblemsusingfinitevolumemethod |