Progresses and challenges of high-order-moment turbulence closure

WANG Shengye; FU Xiang; YANG Xiaoliang; ZHENG Haobang; DENG Xiaogang

doi:10.6052/1000-0992-20-029

Volume 51 Issue 1

Mar. 2021

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WANG Shengye, FU Xiang, YANG Xiaoliang, ZHENG Haobang, DENG Xiaogang. Progresses and challenges of high-order-moment turbulence closure[J]. Advances in Mechanics, 2021, 51(1): 29-61. doi: 10.6052/1000-0992-20-029

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WANG Shengye, FU Xiang, YANG Xiaoliang, ZHENG Haobang, DENG Xiaogang. Progresses and challenges of high-order-moment turbulence closure[J]. Advances in Mechanics, 2021, 51(1): 29-61. doi: 10.6052/1000-0992-20-029

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Progresses and challenges of high-order-moment turbulence closure

doi: 10.6052/1000-0992-20-029

¹ College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
² Academy of Military Sciences, Beijing 100190, China

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Corresponding author: DENG Xiaogang
Received Date: 2020-11-16
Publish Date: 2021-03-25

Abstract

Abstract

High-order-moment model is one of the focuses and frontier topics in the research of turbulence closure theory. Since Mr. Chou first established the Reynolds-stress transport equation in general turbulence, scholars have never stopped to study the high-order-moment model in order to predict the complex flow more accurately. Especially in the new century, thanks to the rapid development of computer hardware and the breakthrough of high-order numerical methods, turbulence simulation is in the course of turning from RANS into LES. In either RANS framework, LES framework, or the hybrid one, high-order-moment models are representative of advanced closure models. According to this, the paper gives a general review of the high-order-moment models. The focus includes the modeling approach of each source item, the evolution process of scale providing equations, and the research demand of numerical solution technology. Through several typical turbulence problems, their advantages over the traditional eddy-viscosity models are shown. Moreover, the integration of high-order-moment models in some CFD software is given. Finally, the future challenges and development direction of the high-order-moment turbulence model are prospected.
- turbulence model,
- computational fluid dynamics,
- Reynolds-stress model,
- RANS,
- LES

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References

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