Liutex-based and Other Mathematical, Computational and Experimental Methods for Turbulence Structure

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. 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