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A stability condition for turbulence model:From EMMS model to EMMS-based turbulence model

A stability condition for turbulence model:From EMMS model to EMMS-based turbulence model

作     者:Lin Zhang Xiaoping Qiu Limin Wang Jinghai Li 

作者机构:The EMMS GroupState Key Laboratory of Multiphase Complex SystemsInstitute of Process EngineeringChinese Academy of Sciences University of Chinese Academy of Sciences 

出 版 物:《Particuology》 (颗粒学报(英文版))

年 卷 期:2014年第12卷第5期

页      面:142-154页

核心收录:

学科分类:081704[工学-应用化学] 08[工学] 0817[工学-化学工程与技术] 081701[工学-化学工程] 

基  金:supported by the National Natural Science Foundation of China(No.21106155) Science Foundation of the Chinese Academy of Sciences(No.XDA07080303) China Postdoctoral Science Foundation(No.2012M520385) 

主  题:Stability condition Mathematical modeling Turbulence EMMS Hydrodynamics Computational fluid dynamics 

摘      要: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 equa- tions 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-hased turbulence model improves the accuracy of turbulence modeling due to it considers the principle of compromise in competition between viscosity and inertia.

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