The knowledge of quantitative turbulence mechanics relies heavily upon the definition of the concept of a vortex in mathematical terms. This reference work introduces the reader to Liutex, which is an accepted, accurate and mathematical definition of a vortex. The core of this book is a compilation of several papers on the subject. presented in the 13th World Congress of Computational Mechanics (WCCM2018), Symposium 704, Mathematics and Computations for Multiscale Structures of Turbulent and Other Complex Flows, New York, United States on July 27, 2018. This compilation also includes other research papers which explain the work done on the vortex definition, vortex identification and turbulence structure from different insight angles including mathematics, computational physics and experiments. The thirteen chapters in this volume will be informative to scientists and engineers who are interested in advanced theories about fluid dynamics, vortex science and turbulence research.
Author(s): Chaoqun Liu, Yisheng Gao
Series: Current Developments in Mathematical Sciences
Publisher: Bentham Science Publishers
Year: 2020
Language: English
Pages: 341
City: Singapore
Cover
Title
Copyright
End User License Agreement
Contents
Preface
List of Contributors
Liutex – A New Mathematical Definition of Vortex
and Vorticity Decomposition for Turbulence
Research
Liutex and Its Calculation and Galilean Invariance
New Omega Vortex Identification Method Based on
Determined Epsilon
Stability Analysis on Shear Flow and Vortices in
Late Boundary Layer Transition
POD and DMD Analysis in Late Flow Transition
with Omega Method
Comparison of Liutex and Eigenvalue-based Vortex
Identification Criteria for Compressible Flows
Observation of Coherent Structures of Low
Reynolds Number Turbulent Boundary Layer by
DNS and Experiment
Direct Numerical Simulation of Incompressible
Flow in a Channel with Rib Structures
Vortex and Flow Structure inside Hydroturbines
A Comparative Study of Compressible Turbulent
Flows Between Thermally and Calorically Perfect
Gases
The Experimental Study on Vortex Structures in
Turbulent Boundary Layer at Low Reynolds
Number
Experimental Studies on Coherent Structures in
Jet Flows Using Single-Frame-Long-Exposure
(SFLE) Imaging Method
Hybrid Compact-WENO Scheme for the
Interaction of Shock Wave and Boundary Layer
Subject Index
Back Cover
