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Liutex And Third Generation Of Vortex Identification


Liutex And Third Generation Of Vortex Identification
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Liutex And Third Generation Of Vortex Identification


Liutex And Third Generation Of Vortex Identification
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Author : Yiqian Wang
language : en
Publisher: Springer Nature
Release Date : 2023-03-21

Liutex And Third Generation Of Vortex Identification written by Yiqian Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Science categories.


This proceedings highlights the applications of the newly introduced physical quantity Liutex in hydrodynamics and aerodynamics. Liutex is used to represent the fascinating rotational motion of fluids, i.e., the vortex. Ubiquitously seen in nature and engineering applications, the definition of vortices has been elusive. The Liutex vector provides a unique and systematic description of vortices. The proceedings collects papers presented in the invited workshop "Liutex and Third Generation of Vortex Identification for Engineering Applications" from Aerospace and Aeronautics World Forum 2021. The papers in this book cover both the theoretical aspects of Liutex and many applications in hydrodynamics and aerodynamics. The proceedings is a good reference for researchers in fluid mechanics who are interested in learning about the wide scope of applications of Liutex and using it to develop a new understanding of their research subjects.



Liutex And Third Generation Of Vortex Definition And Identification


Liutex And Third Generation Of Vortex Definition And Identification
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Author : Chaoqun Liu
language : en
Publisher: Springer Nature
Release Date : 2021-07-26

Liutex And Third Generation Of Vortex Definition And Identification written by Chaoqun Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-26 with Science categories.


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.



Vortex Simulation And Identification


Vortex Simulation And Identification
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Author : Chaoqun Liu
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-01-24

Vortex Simulation And Identification written by Chaoqun Liu and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-24 with Science categories.


This book includes six chapters covering new vortex theories, vortex identification methods, and vortex simulation and applications. Vortices are ubiquitous in the universe and include tornados, hurricanes, airplane tip vortices, polar vortices, and even star vortices in the galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. This book is useful for researchers in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, and more. It is also useful for research on the generation, sustenance, modeling, and controlling of turbulence.



Liutex And Its Applications In Turbulence Research


Liutex And Its Applications In Turbulence Research
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Author : Chaoqun Liu
language : en
Publisher: Academic Press
Release Date : 2020-10-29

Liutex And Its Applications In Turbulence Research written by Chaoqun Liu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-29 with Technology & Engineering categories.


Liutex and Its Applications in Turbulence Research reviews the history of vortex definition, provides an accurate mathematical definition of vortices, and explains their applications in flow transition, turbulent flow, flow control, and turbulent flow experiments. The book explains the term "Rortex" as a mathematically defined rigid rotation of fluids or vortex, which could help solve many longstanding problems in turbulence research. The accurate mathematical definition of the vortex is important in a range of industrial contexts, including aerospace, turbine machinery, combustion, and electronic cooling systems, so there are many areas of research that can benefit from the innovations described here. This book provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence. Important theory and methodologies used for developing these laws are described in detail, including: the classification of the conventional turbulent boundary layer concept based on proper velocity scaling; the methodology for identification of the scales of velocity, temperature, and length needed to establish the law; and the discovery, proof, and strict validations of the laws, with both Reynolds and Prandtl number independency properties using DNS data. The establishment of these statistical laws is important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence. - Provides an accurate mathematical definition of vortices - Provides a thorough survey of the latest research in generalized and flow-thermal, unified, law-of-the-wall for wall-bounded turbulence - Explains the term "Rortex as a mathematically defined rigid rotation of fluids or vortex - Covers the statistical laws important to modern fluid mechanics and heat transfer research, and greatly expands our understanding of wall-bounded turbulence



Mechanism Of Hairpin Vortex Formation By Liutex


Mechanism Of Hairpin Vortex Formation By Liutex
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Author : Yifei Yu
language : en
Publisher: Springer Nature
Release Date : 2024-05-23

Mechanism Of Hairpin Vortex Formation By Liutex written by Yifei Yu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-23 with Science categories.


This book presents the importance of the mechanism of hairpin vortex formation to understanding flow transition, turbulence, and flow control. This book blends direct numerical simulation (DNS) and mathematical analysis with experiments to create a foundation for understanding turbulence. The authors discuss hairpin vortex as a main component of transitional flow and turbulent flow. In addition, Liutex is utilized and described as a theoretical system that presents valid tools for turbulence research. Readers are exposed to understanding 3D and non-linear instability; the Lambda vortex formation; sweeps, ejections, and shear instability; the Kelvin-Helmholtz instability and vortex ring formation; and turbulence generation and sustenance.



Proceedings Of The Vortex Workshop


Proceedings Of The Vortex Workshop
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Author : Yiqian Wang
language : en
Publisher: Springer Nature
Release Date : 2024-11-15

Proceedings Of The Vortex Workshop written by Yiqian Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Science categories.


Written by the leading experts in the field, this book results from Vortex Workshop 2023 which took place in San Diego, the USA, on December 11–13. Vortex is ubiquitous in the universe such as tornado, hurricane, airplane tip vortex, and even star vortex in Galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. A vortex is intuitively recognized as a rotational/swirling motion of fluids but until recently had no rigidly mathematical definition. In 1858, Helmholtz first defined vortex as composed of so-called vortex filaments, which are infinitesimal vorticity tubes, which is called as the first generation of vortex definition and identification, or G1. Although G1 has been accepted by the fluid dynamics community and almost all textbooks for over a century, we can find many immediate counterexamples, for example, in the laminar boundary layer, where the vorticity (shear) is very large near the wall, but not rotation (no vortex) exists. To solve these contradictions, many vortex criteria methods have been developed during the past 4 decades. More popular methods are represented by the Q, ∆, criteria methods. These methods have achieved part of success in vortex identification, which are called the second generation of vortex identification or G2. However, G2 has several critical drawbacks. First, they are all scalars which have no rotation axis directions, but vortex is a vector. It is hard or impossible to use a scalar to represent a vector. Second, like vorticity, these criteria methods are all contaminated by shear in different degrees. Third, they are all very sensitive on threshold selections. The recently developed Liutex is called the third generation of vortex definition and identification, or G3, which is a uniquely defined vector.



Computational Fluid Dynamics


Computational Fluid Dynamics
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Author : Jiyuan Tu
language : en
Publisher: Butterworth-Heinemann
Release Date : 2012-11-07

Computational Fluid Dynamics written by Jiyuan Tu and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-07 with Computers categories.


An introduction to CFD fundamentals and using commercial CFD software to solve engineering problems, designed for the wide variety of engineering students new to CFD, and for practicing engineers learning CFD for the first time. Combining an appropriate level of mathematical background, worked examples, computer screen shots, and step by step processes, this book walks the reader through modeling and computing, as well as interpreting CFD results. The first book in the field aimed at CFD users rather than developers. New to this edition: A more comprehensive coverage of CFD techniques including discretisation via finite element and spectral element as well as finite difference and finite volume methods and multigrid method. Coverage of different approaches to CFD grid generation in order to closely match how CFD meshing is being used in industry. Additional coverage of high-pressure fluid dynamics and meshless approach to provide a broader overview of the application areas where CFD can be used. 20% new content .



Liutex Based And Other Mathematical Computational And Experimental Methods For Turbulence Structure


Liutex Based And Other Mathematical Computational And Experimental Methods For Turbulence Structure
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Author : Chaoqun Liu
language : en
Publisher: Bentham Science Publishers
Release Date : 2020-04-28

Liutex Based And Other Mathematical Computational And Experimental Methods For Turbulence Structure written by Chaoqun Liu and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-28 with Science categories.


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.



Detached Eddy Simulation Series Methods For Compressor Internal Flow


Detached Eddy Simulation Series Methods For Compressor Internal Flow
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Author : Ruiyu Li
language : en
Publisher: Springer Nature
Release Date : 2024-12-31

Detached Eddy Simulation Series Methods For Compressor Internal Flow written by Ruiyu Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-31 with Technology & Engineering categories.


This book concentrates on high-fidelity numerical methods for predicting internal flows within aeroengines’ compressors. A distinctive features of this work is the establishment of a comprehensive research framework. Specifically, it starts with engineering application requirements and integrates high-performance parallel algorithms to develop detached eddy simulation (DES)-series methods tailored to the needs of compressor design. Additionally, it encompasses the development of data analysis methods suitable for handling the "vast" amounts of high-fidelity unsteady flow data in compressors and the high spatial resolution experimental results. This book takes us from making the intricate details of compressor flow field structures "visible" to “explainable”. Another noteworthy aspect of this book is its practical orientation, seamlessly intergrating theoretical concepts with practical applications. Herein, it addresses three major engineering problems in detail and elucidates the technical approaches involving advanced numerical methods and data analysis techniques for solving these physical problems. The book highlights the challenging issues associated with complex internal flows in compressors, the governing equations for DES-series methods, and the implementation strategies for numerical simulations of internal compressor flows. They also delve into data-driven analysis methods for unsteady flow field data, high-fidelity numerical simulations of flow in the blade root region of compressors, dynamic flow capture methods in the tip region of compressor blades, and simulation and analysis of flow fields in inlet distortion generators. This book serves as a valuable reference for researchers and engineering professionals in the aerospace, computational fluid dynamics, and high-performance turbomachinery fields. Additionally, it can be used as a specialized textbook for doctoral and master's students in disciplines such as aerospace science and technology, power engineering, and engineering thermophysics.



Ship Dynamics For Performance Based Design And Risk Averse Operations


Ship Dynamics For Performance Based Design And Risk Averse Operations
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Author : Spyros Hirdaris
language : en
Publisher: MDPI
Release Date : 2021-04-07

Ship Dynamics For Performance Based Design And Risk Averse Operations written by Spyros Hirdaris and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-07 with Technology & Engineering categories.


More than a century and half ago, William Froude and his son Robert [1,2] conducted the first scientifically designed towing tank experiments using scaled ship models traveling in calm water or waves. Since then, advances in mathematics and technology have led to the development of various methods for the assessment of the dynamic behavior of ships. Yet, as we enter the 2nd decade of the 21st century the advent of goal-based regulations and the emergence of safe and sustainable shipping standards still confront our ability to understand the fundamentals and assure absolute ship safety in design and operations. To instigate renewed interest in the well-rehearsed subject of ship dynamics this Special Issue presents a collection of 12 high-quality research contributions with a focus on the prediction and analysis of the dynamic behavior of ships in a stochastic environment. The papers presented are co-authored by leading subject matter experts from Europe, the Far East, and the USA. These papers will be of interest to academics, practitioners, and regulators involved in the progression of ship science, technical services, and safety standards.