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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 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 current research 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.

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