Modelling Shallow Water Wakes Using a Hybrid Turbulence Model
A numerical research with different turbulence models for shallow water equations was carried out. This was done in order to investigate which model has the ability to reproduce more accurately the wakes produced by the shock of the water hitting a submerged island inside a canal. The study of this...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/714031 |
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| author | Clemente Rodriguez-Cuevas Carlos Couder-Castañeda Esteban Flores-Mendez Israel Enrique Herrera-Díaz Rodolfo Cisneros-Almazan |
| author_facet | Clemente Rodriguez-Cuevas Carlos Couder-Castañeda Esteban Flores-Mendez Israel Enrique Herrera-Díaz Rodolfo Cisneros-Almazan |
| author_sort | Clemente Rodriguez-Cuevas |
| collection | DOAJ |
| description | A numerical research with different turbulence models for shallow water equations was carried out. This was done in order to investigate which model has the ability to reproduce more accurately the wakes produced by the shock of the water hitting a submerged island inside a canal. The study of this phenomenon is important for the numerical methods application advancement in the simulation of free surface flows since these models involve a number of simplifications and assumptions that can have a significant impact on the numerical solutions quality and thus can not reproduce correctly the physical phenomenon. The numerical experiments were carried out on an experimental case under controlled conditions, consisting of a channel with a submerged conical island. The numerical scheme is based on the Eulerian-Lagrangian finite volume method with four turbulence models, three mixing lengths (ml), and one joining k-ϵ on the horizontal axis with a mixing-length model (ml) on the vertical axis. The experimental results show that a k-ϵ with ml turbulence model makes it possible to approach the experimental results in a more qualitative manner. We found that when using only a k-ϵ model in the vertical and horizontal direction, the numerical results overestimate the experimental data. Additionally the computing time is reduced by simplifying the turbulence model. |
| format | Article |
| id | doaj-art-a492a198858a4b468e575d81c3f7c735 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a492a198858a4b468e575d81c3f7c7352025-02-03T05:51:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/714031714031Modelling Shallow Water Wakes Using a Hybrid Turbulence ModelClemente Rodriguez-Cuevas0Carlos Couder-Castañeda1Esteban Flores-Mendez2Israel Enrique Herrera-Díaz3Rodolfo Cisneros-Almazan4Faculty of Engineering, Autonomous University of San Luis Potosí, 78290 San Luis Potosí, SLP, MexicoCollege of Engineering and Architecture, ESIA Zacatenco, National Polytechnic Institute, Gustavo A. Madero, 07738 Mexico, DF, MexicoCollege of Engineering and Architecture, ESIA Zacatenco, National Polytechnic Institute, Gustavo A. Madero, 07738 Mexico, DF, MexicoDepartment of Industrial Engineering, University of Guanajuato Celaya-Salvatierra, Mutualismo 303 Colonia Suiza, 38060 Celaya, GTO, MexicoFaculty of Engineering, Autonomous University of San Luis Potosí, 78290 San Luis Potosí, SLP, MexicoA numerical research with different turbulence models for shallow water equations was carried out. This was done in order to investigate which model has the ability to reproduce more accurately the wakes produced by the shock of the water hitting a submerged island inside a canal. The study of this phenomenon is important for the numerical methods application advancement in the simulation of free surface flows since these models involve a number of simplifications and assumptions that can have a significant impact on the numerical solutions quality and thus can not reproduce correctly the physical phenomenon. The numerical experiments were carried out on an experimental case under controlled conditions, consisting of a channel with a submerged conical island. The numerical scheme is based on the Eulerian-Lagrangian finite volume method with four turbulence models, three mixing lengths (ml), and one joining k-ϵ on the horizontal axis with a mixing-length model (ml) on the vertical axis. The experimental results show that a k-ϵ with ml turbulence model makes it possible to approach the experimental results in a more qualitative manner. We found that when using only a k-ϵ model in the vertical and horizontal direction, the numerical results overestimate the experimental data. Additionally the computing time is reduced by simplifying the turbulence model.http://dx.doi.org/10.1155/2014/714031 |
| spellingShingle | Clemente Rodriguez-Cuevas Carlos Couder-Castañeda Esteban Flores-Mendez Israel Enrique Herrera-Díaz Rodolfo Cisneros-Almazan Modelling Shallow Water Wakes Using a Hybrid Turbulence Model Journal of Applied Mathematics |
| title | Modelling Shallow Water Wakes Using a Hybrid Turbulence Model |
| title_full | Modelling Shallow Water Wakes Using a Hybrid Turbulence Model |
| title_fullStr | Modelling Shallow Water Wakes Using a Hybrid Turbulence Model |
| title_full_unstemmed | Modelling Shallow Water Wakes Using a Hybrid Turbulence Model |
| title_short | Modelling Shallow Water Wakes Using a Hybrid Turbulence Model |
| title_sort | modelling shallow water wakes using a hybrid turbulence model |
| url | http://dx.doi.org/10.1155/2014/714031 |
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