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  • Conference proceedings
  • © 2021

Liutex and Third Generation of Vortex Definition and Identification

An Invited Workshop from Chaos 2020

  • Extends Liutex and Third Generation of Vortex Identification Methods with new theoretic developments and new vortex identification methods
  • Introduces new applications of Liutex in vortex science and turbulence research including theoretic development and real calculations
  • Describes engineering applications of Liutex in hydrodynamics, aerodynamics and thermal dynamics
  • Illustrates new physics found by using Liutex

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Table of contents (30 papers)

  1. Front Matter

    Pages i-xxxi
  2. Liutex Theory and Method

    1. Front Matter

      Pages 1-1
    2. Incorrectness of the Second-Generation Vortex Identification Method and Introduction to Liutex

      • Yifei Yu, Pushpa Shrestha, Oscar Alvarez, Charles Nottage, Chaoqun Liu
      Pages 37-56
    3. Dimensional and Theoretical Analysis of Second-Generation Vortex Identification Methods

      • Charles Nottage, Yifei Yu, Pushpa Shrestha, Chaoqun Liu
      Pages 57-70
    4. No Vortex in Straight Flows: On the Eigen-Representations of Velocity Gradient ∇v

      • Xiangyang Xu, Zhiwen Xu, Changxin Tang, Xiaohang Zhang, Wennan Zou
      Pages 85-110
    5. Liutex-Based Investigation of Vortex in Multiphase Flow Past 2-D Cylinder Using GPU-Accelerated LBM

      • Pengxin Cheng, Nan Gui, Xingtuan Yang, Jiyuan Tu, Shengyao Jiang, Haijun Jia
      Pages 123-137
    6. Lagrangian Liutex

      • Yiqian Wang
      Pages 157-167
    7. Visualizing Liutex Core Using Liutex Lines and Tubes

      • Oscar Alvarez, Yifei Yu, Pushpa Shrestha, Dalal Almutairi, Chaoqun Liu
      Pages 169-182
    8. Analysis of Difference Between Liutex and λci

      • Yisheng Gao, Yiqian Wang, Chaoqun Liu
      Pages 183-197
  3. Liutex Applications for Turbulence Research

    1. Front Matter

      Pages 199-199
    2. Experimental Studies on Vortex Structures Based on MSFLE and Liutex

      • Yuyan Li, Xiangrui Dong, Xiaoshu Cai, Wu Zhou
      Pages 251-261
    3. Correlation Analysis Between Low-Frequency Shock Oscillation and Liutex in SBLI

      • Vishwa Patel, Yonghua Yan, Yifei Yu, Chaoqun Liu
      Pages 263-277

About this book

This book collects papers presented in the Invited Workshop, “Liutex and Third Generation of Vortex Definition and Identification for Turbulence,” from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference. Liutex is a new physical quantity introduced by Prof. Chaoqun Liu of the University of Texas at Arlington. It is a vector and could give a unique and accurate mathematical definition for fluid rotation or vortex. The papers in this volume include some Liutex theories and many applications in hydrodynamics, aerodynamics and thermal dynamics including turbine machinery.  As vortex exists everywhere in the universe, a mathematical definition of vortex or Liutex will play a critical role in scientific research. There is almost no place without vortex in fluid dynamics. As a projection, the Liutex theory will play an important role on the investigations of the vortex dynamics in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, etc. and to the researches of the generation, sustenance, modelling and controlling of turbulence.

 



Editors and Affiliations

  • University of Texas at Arlington, Arlington, USA

    Chaoqun Liu

  • Soochow University, Suzhou, China

    Yiqian Wang

About the editors

Dr. Chaoqun Liu is Distinguished University Professor and Director of Center for Numerical Simulation & Modeling in the Department of Mathematics University of Texas at Arlington, Arlington, TX, USA. Dr. Yiqian Wang is Associate Professor in the School of Mathematical Sciences
of Soochow University, Suzhou, China.


Bibliographic Information

  • Book Title: Liutex and Third Generation of Vortex Definition and Identification

  • Book Subtitle: An Invited Workshop from Chaos 2020

  • Editors: Chaoqun Liu, Yiqian Wang

  • DOI: https://doi.org/10.1007/978-3-030-70217-5

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-70216-8Published: 27 July 2021

  • Softcover ISBN: 978-3-030-70219-9Published: 28 July 2022

  • eBook ISBN: 978-3-030-70217-5Published: 26 July 2021

  • Edition Number: 1

  • Number of Pages: XXXI, 468

  • Number of Illustrations: 23 b/w illustrations, 320 illustrations in colour

  • Topics: Plasma Physics, Engineering Fluid Dynamics, Materials Science, general, Aerospace Technology and Astronautics, Differential Geometry

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access