Current Developments in Mathematical Sciences

Current Developments in Mathematical Sciences

Volume: 2

Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure

Editor(s): Chaoqun Liu and ̀Yisheng Gao

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The knowledge of quantitative turbulence mechanics relies heavily upon the definition of the concept of a vortex in mathematical terms. This reference work introduces the reader to Liutex, which is ...
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Preface  promotion: free to download

Pp. i-vi (6)

Chaoqun Liu



List of Contributors  promotion: free to download

Pp. vii-viii (2)

Chaoqun Liu and Yisheng Gao



Liutex and Its Calculation and Galilean Invariance

Pp. 21-44 (24)

Yiqian Wang, Yisheng Gao and Chaoqun Liu


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New Omega Vortex Identification Method Based on Determined Epsilon

Pp. 45-58 (14)

Xiangrui Dong, Yisheng Gao and Chaoqun Liu


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POD and DMD Analysis in Late Flow Transition with Omega Method

Pp. 115-153 (39)

Sita Charkrit and Chaoqun Liu


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Observation of Coherent Structures of Low Reynolds Number Turbulent Boundary Layer by DNS and Experiment

Pp. 176-209 (34)

Panpan Yan, Chaoqun Liu, Yanang Guo and Xiaoshu Cai


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Direct Numerical Simulation of Incompressible Flow in a Channel with Rib Structures

Pp. 210-231 (22)

Ting Yu, Duo Wang, Heng Li and Hongyi Xu


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Vortex and Flow Structure inside Hydroturbines

Pp. 232-242 (11)

Yuning Zhang and Yuning Zhang


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The Experimental Study on Vortex Structures in Turbulent Boundary Layer at Low Reynolds Number

Pp. 265-279 (15)

Yanang Guo, Xiaoshu Cai, Wu Zhou, Lei Zhou and Xiangrui Dong


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Subject Index  promotion: free to download

Pp. 312-323 (12)

Chaoqu Liu and ̀Yisheng Gao