Liutex and Its Applications in Turbulence Research
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Published By Elsevier

9780128190234
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Liutex and third generation of vortex identification methods

2021 ◽  
pp. 119-149
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Third Generation ◽  
Vortex Identification ◽  
Identification Methods

LXC-core line method and R-S decomposition for vortex dynamics

2021 ◽  
pp. 151-198
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Vortex Dynamics ◽  
Line Method ◽  
Core Line

Comparison of Liutex and other vortex identification methods

2021 ◽  
pp. 303-342
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Vortex Identification ◽  
Identification Methods

Liutex methods for science and engineering applications

2021 ◽  
pp. 343-385
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Science And Engineering ◽  
Engineering Applications

Liutex and proper orthogonal decomposition for hairpin vortex generation

2021 ◽  
pp. 227-266
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Proper Orthogonal Decomposition ◽  
Orthogonal Decomposition ◽  
Hairpin Vortex ◽  
Vortex Generation ◽  
Proper Orthogonal

Existence, uniqueness, continuity, stability, Galilean invariance, applicability to compressible flows

2021 ◽  
pp. 69-88
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Compressible Flows ◽  
Galilean Invariance

Liutex and experiments for turbulent flow of low Reynolds number

2021 ◽  
pp. 387-414
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Reynolds Number ◽  
Turbulent Flow ◽  
Low Reynolds Number ◽  
Low Reynolds

References

2021 ◽  
pp. 415-430

Liutex—a new mathematical definition of fluid rotation

2021 ◽  
pp. 39-67
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Mathematical Definition ◽  
Definition Of
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