Title Liutex and third generation of vortex identification : workshop from Aerospace and Aeronautics World Forum 2021 / Yiqian Wang, Yisheng Gao, Chaoqun Liu, editors

Published Singapore : Springer, [2023]

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Description 1 online resource (xxxii, 403 pages) : illustrations (chiefly color) Series Springer proceedings in physics ; volume 288 Springer proceedings in physics ; 288. 1867-4941 Contents Intro -- Preface -- Contents -- Editors and Contributors -- Part I Theoretical Foundation and Applications for Turbulence and Transition Research -- 1 Liutex and Third Generation of Vortex Definition and Identification -- 1.1 Introduction -- 1.2 Three Generations of Vortex Definition and Identification -- 1.2.1 First Generation of Vortex Identification Methods (Vorticity-Based Methods) -- 1.2.2 Second Generation of Vortex Identification -- 1.2.3 Limitations of Existing Vortex Identification Methods 1.2.4 Mathematical Misunderstandings of the First and Second Generation of Vortex Identification Methods -- 1.2.5 Contaminations of First and Second Generations of Vortex Identification Methods -- 1.2.6 Liutex -- 1.3 Future Research Plan -- 1.3.1 Develop Unique, Accurate, and Threshold-Free Vortex Identification Methods -- 1.3.2 Characterize Vortex Structure -- 1.3.3 Liutex Similarity -- 1.3.4 Correlation Analysis of Pressure Fluctuation (Noise Generation) and Liutex Spectrum by Mathematical Analysis and Experimental Modeling -- 1.4 Conclusions and Future Work -- References 2 Galilean Variance of Streamline in Vortex/Liutex Visualization -- 2.1 Introduction -- 2.2 Galilean Invariance -- 2.3 Galilean Variance of Streamline -- 2.4 Galilean Invariance of Liutex -- 2.5 Numerical Example -- 2.6 Conclusion -- References -- 3 Rules of Tensor and Matrix Operation for Liutex Calculation -- 3.1 Introduction -- 3.2 Express Tensor and Its Operation by Matrix -- 3.3 Matrix Form of Velocity Gradient Tensor -- 3.4 Some Calculation Examples Using Matrix Expressions -- 3.5 Conclusion -- References -- 4 Liutex Core Tube for Vortex Visualization and Structure -- 4.1 Introduction 4.2 Data -- 4.3 Liutex Core Tube -- 4.3.1 Constructing the Liutex Core Tube -- 4.3.2 Liutex Core Tube Versus Iso-Surface -- 4.4 Conclusion -- References -- 5 Study of Vortex and Vorticity in a Laminar Flow -- 5.1 Introduction -- 5.2 Vortex Identification Methods -- 5.2.1 Vorticity-Based Method -- 5.2.2 Second-Generation Vortex Identification Method -- 5.2.3 Third-Generation Vortex Identification Method -- 5.3 Vortex Versus Vorticity -- 5.3.1 Vorticity Meter and Long Channel Device -- 5.3.2 Reynolds Number and Laminar Flow -- 5.3.3 Modified Shapiro's Experiment -- 5.3.4 Mathematical Analysis 5.3.5 Vorticity and Liutex -- 5.4 Conclusion and Discussion -- References -- 6 POD Analysis on Losing Symmetry of Vortex Structure in the Flow Transition by Liutex Method -- 6.1 Introduction -- 6.2 Numerical Setup -- 6.3 Proper Orthogonal Decomposition (POD) -- 6.4 POD Analysis Inflow Transition by Modified Liutex Omega Method -- 6.5 POD Analysis on Losing Symmetry of Vortex Structure -- 6.6 Conclusion -- References -- 7 The Liutex Shear Interaction in Boundary Layer Transition -- 7.1 Introduction -- 7.2 Vortex Identification Method -- 7.2.1 Vortex, Vorticity, Velocity Gradient Tensor Summary This proceedings highlights the applications of the newly introduced physical quantity Liutex in hydrodynamics and aerodynamics. Liutex is used to represent the fascinating rotational motion of fluids, i.e., the vortex. Ubiquitously seen in nature and engineering applications, the definition of vortices has been elusive. The Liutex vector provides a unique and systematic description of vortices. The proceedings collects papers presented in the invited workshop "Liutex and Third Generation of Vortex Identification for Engineering Applications" from Aerospace and Aeronautics World Forum 2021. The papers in this book cover both the theoretical aspects of Liutex and many applications in hydrodynamics and aerodynamics. The proceedings is a good reference for researchers in fluid mechanics who are interested in learning about the wide scope of applications of Liutex and using it to develop a new understanding of their research subjects Bibliography Includes bibliographical references Notes 7.2.2 Cauchy-Stokes Decomposition Description based on online resource; title from digital title page (viewed on August 04, 2023) Subject Vortex-motion -- Mathematical models -- Congresses Turbulence -- Mathematical models -- Congresses Turbulence -- Mathematical models Vortex-motion -- Mathematical models Genre/Form Electronic books proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Wang, Yiqian, editor Gao, Yisheng (Aeronautic engineer), editor. Liu, Chaoqun, editor. Aerospace and Aeronautics World Forum (2021 : Frankfurt, Germany) ISBN 9789811989551 9811989559

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