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.
Part
1. Liutex Theory and Method.
Chapter1. Liutex and Third Generation
of Vortex Identification Methods.
Chapter2. Incorrectness of the Second
Generation Vortex Identification Method and Introduction to Liute.
Chapter3.
Dimensional and Theoretical Analysis of Liutex and Second-Generation Vortex
Identification methods.
Chapter4. Mathematical study on local fluid rotation
axisVorticity is not the rotation axis.
Chapter5. No vortex in flows with
straight streamlinesSome comments on real Schur forms of velocity gradient
v.
Chapter6. Mathematical definition of vortex boundary and boundary
classification based on topological type.
Chapter7. A comparison of Liutex
with other vortex identification methods on the multiphase flow past a
cylinder using LBM on GPU.
Chapter8. On the comparison of Liutex method with
other vortex identification methods in a confined tip-leakage cavitating
flow.
Chapter9. Lagrangian Liutex.
Chapter10. Visualizing Liutex Core Using
Liutex line and Liutex tubes.
Chapter11. Analysis of difference between
Liutex and _ci.- Part
2. Liutex Applications for Turbulence Research.-
Chapter12. Hair-pin Vortex Formation Mechanisms based on LXC-Liutex Cores in
Thermal Turbulent Boundary Layer with Rib-tabulator.
Chapter13. Liutex in
the vortex statistics of 2D turbulent system.
Chapter14. Liutex and Proper
Orthogonal Decomposition for Vortex Structure in the Wake of Micro Vortex
Generator.
Chapter15. Study on the Formation and Evolution of Asymmetrical
Vortex Structures in the Late Transitional Boundary Layer.
Chapter16.
Experimental studies on vortex structures based on MSFLE and Liutex.-
Chapter17. Correlation Analysis between low frequency shock oscillation and
Liutex in SBLI.
Chapter18. Micro-Ramp Wake Structures Identified by Liutex.-
Chapter19. Application of Liutex and some other second-generation vortex
identification methods to direct numerical simulation data of a transitional
boundary layer.- Part
3. Liutex Applications in Engineering.
Chapter
20.
Investigation of Flow Structures around Cylinders with High Reynolds Number
by Liutex Vortex Identification Methods.
Chapter
21. Vortex Identification
for Study of Flow Past Stationary and Oscillating Cylinder.
Chapter
22.
Simulation and Analysis of Breaking Waves in Deep Water.
Chapter
23.
Numerical Investigation of Complex Flow Field in Ship Self-Propulsion and
Zigzag Maneuverability .
Chapter
24. Application of Liutex for Analysis of
Complex Wake Flow Characteristics of Wind Turbine.
Chapter
25. Application
of Omega-Liutex identification method in the cavitating flows around a
three-dimensional bullet .
Chapter
26. Analysis of Vortex Evolution in
Turbine Rotor Tip Region Based on Liutex Method.
Chapter
27. Numerical
Simulation of Leakage Flow inside Shroud and Its Interaction with Main Flow
in an Axial Turbine.
Chapter
28. The identification of tip leakage vortex of
an axial flow waterjet pump by using Omega method and Liutex.
Chapter
29.
Eddy currentresearch of oxy-fuel heating furnace based on third generation
vortex recognition method.
Chapter
30. Numerical investigation of the
cavitation vortex interaction around a twisted hydrofoil with emphasis on the
vortex identification method.
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 Sciencesof Soochow University, Suzhou, China.
