Large eddy simulation of turbulent shallow water flows using multi-relaxation-time lattice Boltzmann model
SUMMARY In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy simulation (LES) of turbulent shallow water flows (MRT‐LABSWETM). The model is based on the two‐dimensional nonlinear shallow water equati...
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Published in | International journal for numerical methods in fluids Vol. 70; no. 12; pp. 1573 - 1589 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Chichester, UK
John Wiley & Sons, Ltd
30.12.2012
Wiley Wiley Subscription Services, Inc |
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Abstract | SUMMARY
In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy simulation (LES) of turbulent shallow water flows (MRT‐LABSWETM). The model is based on the two‐dimensional nonlinear shallow water equations, giving the depth‐averaged features. It is verified by applying the model in three typical cases in engineering with turbulence: (i) the flow around a square cylinder, (ii) plane cavity flow, and (iii) flows in a junction of 90°. The results obtained by the MRT‐LABSWETM are compared with BGK‐LABSWETM results and experimental data. The objectives of this study are to validate the MRT‐LABSWETM in a turbulence simulation and perform a comparative analysis between the results of BGK‐LABSWETM and MRT‐LABSWETM. Copyright © 2012 John Wiley & Sons, Ltd. |
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AbstractList | SUMMARY In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy simulation (LES) of turbulent shallow water flows (MRT-LABSWETM). The model is based on the two-dimensional nonlinear shallow water equations, giving the depth-averaged features. It is verified by applying the model in three typical cases in engineering with turbulence: (i) the flow around a square cylinder, (ii) plane cavity flow, and (iii) flows in a junction of 90°. The results obtained by the MRT-LABSWETM are compared with BGK-LABSWETM results and experimental data. The objectives of this study are to validate the MRT-LABSWETM in a turbulence simulation and perform a comparative analysis between the results of BGK-LABSWETM and MRT-LABSWETM. Copyright © 2012 John Wiley & Sons, Ltd. [PUBLICATION ABSTRACT] SUMMARY In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy simulation (LES) of turbulent shallow water flows (MRT‐LABSWE TM ). The model is based on the two‐dimensional nonlinear shallow water equations, giving the depth‐averaged features. It is verified by applying the model in three typical cases in engineering with turbulence: (i) the flow around a square cylinder, (ii) plane cavity flow, and (iii) flows in a junction of 90°. The results obtained by the MRT‐LABSWE TM are compared with BGK‐LABSWE TM results and experimental data. The objectives of this study are to validate the MRT‐LABSWE TM in a turbulence simulation and perform a comparative analysis between the results of BGK‐LABSWE TM and MRT‐LABSWE TM . Copyright © 2012 John Wiley & Sons, Ltd. SUMMARY In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy simulation (LES) of turbulent shallow water flows (MRT‐LABSWETM). The model is based on the two‐dimensional nonlinear shallow water equations, giving the depth‐averaged features. It is verified by applying the model in three typical cases in engineering with turbulence: (i) the flow around a square cylinder, (ii) plane cavity flow, and (iii) flows in a junction of 90°. The results obtained by the MRT‐LABSWETM are compared with BGK‐LABSWETM results and experimental data. The objectives of this study are to validate the MRT‐LABSWETM in a turbulence simulation and perform a comparative analysis between the results of BGK‐LABSWETM and MRT‐LABSWETM. Copyright © 2012 John Wiley & Sons, Ltd. |
Author | Shu, Anping Liu, Haifei Li, Min |
Author_xml | – sequence: 1 givenname: Haifei surname: Liu fullname: Liu, Haifei organization: Key Laboratory of Water and Sediment Sciences of the Ministry of Education, School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, 100875, Beijing, China – sequence: 2 givenname: Min surname: Li fullname: Li, Min organization: Key Laboratory of Water and Sediment Sciences of the Ministry of Education, School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, 100875, Beijing, China – sequence: 3 givenname: Anping surname: Shu fullname: Shu, Anping email: Anping Shu, School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, Beijing 100875, China., shuap@bnu.edu.cn organization: Key Laboratory of Water and Sediment Sciences of the Ministry of Education, School of Environment, Beijing Normal University, 19 Xinjiekou Wai Street, 100875, Beijing, China |
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Keywords | Boltzmann equation Turbulent flow Pipe flow Computational fluid dynamics Digital simulation Cavity flow Relaxation time multi-relaxation-time Large eddy simulation Lattice model Vorticity LABSWE shallow water equations lattice Boltzmann method Modelling Turbulence structure Shallow-water equations |
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Snippet | SUMMARY
In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy... SUMMARY In this paper, the standard Smagorinsky's algorithm is embedded into the multiple relaxation time (MRT) lattice Boltzmann model (LBM) for large eddy... |
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SubjectTerms | Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) LABSWE large eddy simulation lattice Boltzmann method multi-relaxation-time Physics shallow water equations Turbulence simulation and modeling Turbulent flows, convection, and heat transfer |
Title | Large eddy simulation of turbulent shallow water flows using multi-relaxation-time lattice Boltzmann model |
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