Dam-Break Computations by a Dynamical Adaptive Finite Volume Method
In this paper, a numerical solver is developed for the computation of one and two dimensional dam break problems. The considered equations are the 2D shallow water equations written in conservative form. The algorithm uses a finite volume method which is based on Roe’s approximate Riemann solver. It...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2018-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=47558&issue_ID=252 |
| _version_ | 1818756187539111936 |
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| author | Y. Lakhlifi S. Daoudi F. Boushaba |
| author_facet | Y. Lakhlifi S. Daoudi F. Boushaba |
| author_sort | Y. Lakhlifi |
| collection | DOAJ |
| description | In this paper, a numerical solver is developed for the computation of one and two dimensional dam break problems. The considered equations are the 2D shallow water equations written in conservative form. The algorithm uses a finite volume method which is based on Roe’s approximate Riemann solver. It is of second order in space and time, and can be used on complicated geometries with unstructured meshes. The stiffness coming from discontinuity propagation due to the dam is taken into account by the introduction of a dynamical mesh refinement-unrefinement procedure. The results presented on some benchmark dam break situations including wet/dry beds, and comparisons with analytical solutions, show the accuracy of the used methods and the efficiency of the adaptation technique in the simulation of such phenomena. |
| first_indexed | 2024-12-18T05:51:03Z |
| format | Article |
| id | doaj.art-bd61c07af5384f3087ad5a65d7f1967c |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-18T05:51:03Z |
| publishDate | 2018-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-bd61c07af5384f3087ad5a65d7f1967c2022-12-21T21:18:54ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722018-01-0111615431556.Dam-Break Computations by a Dynamical Adaptive Finite Volume MethodY. Lakhlifi0S. Daoudi1F. Boushaba2Laboratoire de Mécanique et Modélisation Numérique, ENSAO, Université Mohammed I, Oujda, Maroc.Laboratoire de Mécanique et Energétique, FSO, Université Mohammed I, Oujda, MarocLaboratoire de Mécanique et Modélisation Numérique, ENSAO, Université Mohammed I, Oujda, Maroc.In this paper, a numerical solver is developed for the computation of one and two dimensional dam break problems. The considered equations are the 2D shallow water equations written in conservative form. The algorithm uses a finite volume method which is based on Roe’s approximate Riemann solver. It is of second order in space and time, and can be used on complicated geometries with unstructured meshes. The stiffness coming from discontinuity propagation due to the dam is taken into account by the introduction of a dynamical mesh refinement-unrefinement procedure. The results presented on some benchmark dam break situations including wet/dry beds, and comparisons with analytical solutions, show the accuracy of the used methods and the efficiency of the adaptation technique in the simulation of such phenomena.http://jafmonline.net/JournalArchive/download?file_ID=47558&issue_ID=252Dam break; Finite volumes; Unstructured meshes; Mesh adaptation; Roe’s solver; Dry bed. |
| spellingShingle | Y. Lakhlifi S. Daoudi F. Boushaba Dam-Break Computations by a Dynamical Adaptive Finite Volume Method Journal of Applied Fluid Mechanics Dam break; Finite volumes; Unstructured meshes; Mesh adaptation; Roe’s solver; Dry bed. |
| title | Dam-Break Computations by a Dynamical Adaptive Finite Volume Method |
| title_full | Dam-Break Computations by a Dynamical Adaptive Finite Volume Method |
| title_fullStr | Dam-Break Computations by a Dynamical Adaptive Finite Volume Method |
| title_full_unstemmed | Dam-Break Computations by a Dynamical Adaptive Finite Volume Method |
| title_short | Dam-Break Computations by a Dynamical Adaptive Finite Volume Method |
| title_sort | dam break computations by a dynamical adaptive finite volume method |
| topic | Dam break; Finite volumes; Unstructured meshes; Mesh adaptation; Roe’s solver; Dry bed. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=47558&issue_ID=252 |
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