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A stability condition for turbulence model: From EMMS model to EMMS-based turbulence model | |
Alternative Title | Particuology |
Zhang, Lin1; Qiu, Xiaoping1,2; Wang, Limin1; Li, Jinghai1 | |
2014-10-01 | |
Source Publication | PARTICUOLOGY
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ISSN | 1674-2001 |
Volume | 16Issue:OCTPages:142-154 |
Abstract | The closure problem of turbulence is still a challenging issue in turbulence modeling. In this work, a stability condition is used to close turbulence. Specifically, we regard single-phase flow as a mixture of turbulent and non-turbulent fluids, separating the structure of turbulence. Subsequently, according to the picture of the turbulent eddy cascade, the energy contained in turbulent flow is decomposed into different parts and then quantified. A turbulence stability condition, similar to the principle of the energy-minimization multi-scale (EMMS) model for gas-solid systems, is formulated to close the dynamic constraint equations of turbulence, allowing the inhomogeneous structural parameters of turbulence to be optimized. We name this model as the "EMMS-based turbulence model", and use it to construct the corresponding turbulent viscosity coefficient. To validate the EMMS-based turbulence model, it is used to simulate two classical benchmark problems, lid-driven cavity flow and turbulent flow with forced convection in an empty room. The numerical results show that the EMMS-based turbulence model improves the accuracy of turbulence modeling due to it considers the principle of compromise in competition between viscosity and inertia. (C) 2014 Published by Elsevier B.V. on behalf of Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences.; The closure problem of turbulence is still a challenging issue in turbulence modeling. In this work, a stability condition is used to close turbulence. Specifically, we regard single-phase flow as a mixture of turbulent and non-turbulent fluids, separating the structure of turbulence. Subsequently, according to the picture of the turbulent eddy cascade, the energy contained in turbulent flow is decomposed into different parts and then quantified. A turbulence stability condition, similar to the principle of the energy-minimization multi-scale (EMMS) model for gas-solid systems, is formulated to close the dynamic constraint equations of turbulence, allowing the inhomogeneous structural parameters of turbulence to be optimized. We name this model as the "EMMS-based turbulence model", and use it to construct the corresponding turbulent viscosity coefficient. To validate the EMMS-based turbulence model, it is used to simulate two classical benchmark problems, lid-driven cavity flow and turbulent flow with forced convection in an empty room. The numerical results show that the EMMS-based turbulence model improves the accuracy of turbulence modeling due to it considers the principle of compromise in competition between viscosity and inertia. (C) 2014 Published by Elsevier B.V. on behalf of Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences. |
Keyword | Stability Condition Mathematical Modeling Turbulence Emms Hydrodynamics Computational Fluid Dynamics |
Subtype | Article |
WOS Headings | Science & Technology ; Technology |
DOI | 10.1016/j.partic.2014.02.003 |
URL | 查看原文 |
Indexed By | SCI |
Language | 英语 |
WOS Keyword | CFD-SIMULATION ; FLOW ; BREAKUP ; SYSTEMS ; DROP ; DRAG |
WOS Research Area | Engineering ; Materials Science |
WOS Subject | Engineering, Chemical ; Materials Science, Multidisciplinary |
WOS ID | WOS:000343352700015 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.ipe.ac.cn/handle/122111/11693 |
Collection | 研究所(批量导入) |
Affiliation | 1.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, EMMS Grp, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Zhang, Lin,Qiu, Xiaoping,Wang, Limin,et al. A stability condition for turbulence model: From EMMS model to EMMS-based turbulence model[J]. PARTICUOLOGY,2014,16(OCT):142-154. |
APA | Zhang, Lin,Qiu, Xiaoping,Wang, Limin,&Li, Jinghai.(2014).A stability condition for turbulence model: From EMMS model to EMMS-based turbulence model.PARTICUOLOGY,16(OCT),142-154. |
MLA | Zhang, Lin,et al."A stability condition for turbulence model: From EMMS model to EMMS-based turbulence model".PARTICUOLOGY 16.OCT(2014):142-154. |
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