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Effect of Oscillation Structures on Inertial-Range Intermittence and Topology in Turbulent Field

Published online by Cambridge University Press:  15 January 2016

Kun Yang ,
Zhenhua Xia ,
Yipeng Shi  and
Shiyi Chen
Kun Yang
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China
Zhenhua Xia
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China
Yipeng Shi*
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China
Shiyi Chen
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China Collaborative Innovation Center of Advanced Aero-Engine, Beijing 100191, P.R. China
*
*Corresponding author. Email addresses:yangkun86@foxmail.com (K. Yang), xiazh1006@gmail.com (Z. Xia), ypshi@coe.pku.edu.cn (Y. Shi), syc@coe.pku.edu.cn (S. Chen)
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Abstract

Using the incompressible isotropic turbulent fields obtained from direct numerical simulation and large-eddy simulation, we studied the statistics of oscillation structures based on local zero-crossings and their relation with inertial-range intermittency for transverse velocity and passive scalar. Our results show that for both the velocity and passive scalar, the local oscillation structures are statistically scale-invariant at high Reynolds number, and the inertial-range intermittency of the overall flow region is determined by the most intermittent structures characterized by one local zero-crossing. Local flow patterns conditioned on the oscillation structures are characterized by the joint probability density function of the invariants of the filtered velocity gradient tensor at inertial range. We demonstrate that the most intermittent regions for longitudinal velocity tend to lay at the saddle area, while those for the transverse velocity tend to locate at the vortex-dominated area. The connection between the ramp-cliff structures in passive scalar field and the corresponding saddle regions in the velocity field is also verified by the approach of oscillation structure classification.

Keywords

Oscillation structureintermittencytransverse velocitypassive scalar
Type
Research Article
Information
Communications in Computational Physics , Volume 19 , Issue 1 , January 2016 , pp. 251 - 272
Copyright
Copyright © Global-Science Press 2016 

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