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A century ago, Lewis Fry Richardson introduced the concept of energy cascades in turbulence. Since this conceptual breakthrough, turbulence has been studied in diverse systems and our knowledge has increased considerably through theoretical, numerical, experimental and observational advances. Eddy turbulence and wave turbulence are the two regimes we can find in nature. So far, most attention has been devoted to the former regime, eddy turbulence, which is often observed in water. However, physicists are often interested in systems for which wave turbulence is relevant. This textbook deals with wave turbulence and systems composed of a sea of weak waves interacting non-linearly. After a general introduction which includes a brief history of the field, the theory of wave turbulence is introduced rigorously for surface waves. The theory is then applied to examples in hydrodynamics, plasma physics, astrophysics and cosmology, giving the reader a modern and interdisciplinary view of the subject.
Physics --- Science --- Turbulence. --- Waves.
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An engaging, comprehensive, richly illustrated textbook about the atmospheric general circulation, written by leading researchers in the field. The book elucidates the pervasive role of atmospheric dynamics in the Earth System, interprets the structure and evolution of atmospheric motions across a range of space and time scales in terms of fundamental theoretical principles, and includes relevant historical background and tutorials on research methodology. The book includes over 300 exercises and is accompanied by extensive online resources, including solutions manuals, an animations library, and an introduction to online visualization and analysis tools. This textbook is suitable as a textbook for advanced undergraduate and graduate level courses in atmospheric sciences and geosciences curricula and as a reference textbook for researchers.
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Modelling Approaches and Computational Methods for Particle-laden Turbulent Flows introduces the principal phenomena observed in applications where turbulence in particle-laden flow is encountered while also analyzing the main methods for analyzing numerically. The book takes a practical approach, providing advice on how to select and apply the correct model or tool by drawing on the latest research. Sections provide scales of particle-laden turbulence and the principal analytical frameworks and computational approaches used to simulate particles in turbulent flow. Each chapter opens with a section on fundamental concepts and theory before describing the applications of the modelling approach or numerical method. Featuring explanations of key concepts, definitions, and fundamental physics and equations, as well as recent research advances and detailed simulation methods, this book is the ideal starting point for students new to this subject, as well as an essential reference for experienced researchers.
Turbulence --- Mathematical models. --- Computer simulation.
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Modelling transport and mixing by turbulence in complex flows are huge challenges for computational fluid dynamics (CFD). This highly readable book introduces readers to modelling levels that respect the physical complexity of turbulent flows. It examines the hierarchy of Reynolds-averaged Navier-Stokes (RANS) closures in various situations ranging from fundamental flows to three-dimensional industrial and environmental applications. The general second-moment closure is simplified to linear eddy-viscosity models, demonstrating how to assess the applicability of simpler schemes and the conditions under which they give satisfactory predictions. The principal changes for the second edition reflect the impact of computing power: a new chapter devoted to unsteady RANS and another on how large-eddy simulation, LES, and RANS strategies can be effectively combined for particular applications. This book will remain the standard for those in industry and academia seeking expert guidance on the modelling options available, and for graduate students in physics, applied mathematics and engineering entering the world of turbulent flow CFD.
Turbulence --- SCIENCE / Mechanics / Fluids --- Mathematical models.
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This book covers the diverse and cutting-edge research presented at the 13th ERCOFTAC Workshop on Direct and Large Eddy Simulation. The first section of the book focuses on Aerodynamics/Aeroacoustics, comprising eight papers that delve into the intricate relationship between fluid flow and aerodynamic performance. The second section explores the dynamics of Bluff/Moving Bodies through four insightful papers. Bubbly Flows, the subject of the third section, is examined through four papers. Moving on, the fourth section is dedicated to Combustion and Reactive Flows, presenting two papers that focus on the complex dynamics of combustion processes and the interactions between fluids and reactive species. Convection and Heat/Mass Transfer are the central themes of the fifth section, which includes three papers. These contributions explore the fundamental aspects of heat and mass transfer in fluid flows, addressing topics such as convective heat transfer, natural convection, and mass transport phenomena. The sixth section covers Data Assimilation and Uncertainty Quantification, featuring two papers that highlight the importance of incorporating data into fluid dynamic models and quantifying uncertainties associated with these models. The subsequent sections encompass a wide range of topics, including Environmental and Industrial Applications, Flow Separation, LES Fundamentals and Modelling, Multiphase Flows, and Numerics and Methodology. These sections collectively present a total of 23 papers that explore different facets of fluid dynamics, contributing to the advancement of the field and its practical applications.
Fluid mechanics. --- Engineering Fluid Dynamics. --- Turbulence --- Computer simulation
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Numerical Methods in Turbulence Simulation provides detailed specifications of the numerical methods needed to solve important problems in turbulence simulation. Numerical simulation of turbulent fluid flows is challenging because of the range of space and time scales that must be represented. This book provides explanations of the numerical error and stability characteristics of numerical techniques, along with treatments of the additional numerical challenges that arise in large eddy simulations. Chapters are written as tutorials by experts in the field, covering specific both contexts and applications. Three classes of turbulent flow are addressed, including incompressible, compressible and reactive, with a wide range of the best numerical practices covered. A thorough introduction to the numerical methods is provided for those without a background in turbulence, as is everything needed for a thorough understanding of the fundamental equations. The small scales that must be resolved are generally not localized around some distinct small-scale feature, but instead are distributed throughout a volume. These characteristics put particular strain on the numerical methods used to simulate turbulent flows.
Turbulence. --- Simulation methods. --- Simulation techniques --- System simulation --- Operations research --- Systems engineering --- Models and modelmaking --- Flow, Turbulent --- Turbulent flow --- Fluid dynamics --- Turbulence --- Mathematics.
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This book presents selected papers from the 12th edition of the Spring School of Transition and Turbulence which took place in 2020. The papers cover applications on a number of industrial processes, such as the automotive, aeronautics, chemicals, oil and gas, food, nanotechnology, and others. The readers find out research and applied works on the topics of aerodynamics, computational fluid dynamics, instrumentation and experiments, multi-phase flows, and theoretical and analytical modeling. .
Turbulence --- Fluid mechanics. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Engineering --- Technology & Engineering
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Turbulence in recent years has become unprecedentedly wicked. Uncertainty has become a dense fog for business leaders, difficult to tackle. This book uses scenario and other methods like systems thinking to look ahead and time travel to the future. Written by an extremely experienced consultant who has in parallel been a strategy academic at leading business schools for over 30 years, it is a practical toolkit grounded in theory. There are many practical experiences to illustrate "How to do it" to complement theory. There are many exercises for the interested reader to try out and many fascinating case studies to take the reader beyond "what happened and why?" to "how the process was managed and tips for applying it for yourself." This is a must-read for business leaders who are finding uncertainties a difficult problem to deal with. For MBA students, it will give them a different dimension for thinking about their course work and projects andprovide a real edge over those trapped within a single view of the future,not just a journey but a new way of thinking.
Uncertainty. --- Success in business. --- Business planning. --- Scenarios. --- Strategy. --- Future. --- Turbulence. --- Innovation. --- Disruptive. --- Disruption.
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"Through the lens of Turbulence Theory, this volume offers students and scholars an innovative toolkit for understanding the COVID-19 pandemic and its impact on teachers, families, and students. Bringing together cases from early childhood and special education written by parents and educators, author Susan H. Shapiro leverages Turbulence Theory as a framework to help readers evaluate the level of turbulence during each scenario and what methods, if any, might help mitigate or escalate the situation. With more than 20 insightful case-based examples and discussion questions, this book explores what lessons and strategies we can bring into future crises - and how we move forward in an ever-evolving educational landscape"--
Educational change --- Early childhood education --- Special education --- COVID-19 Pandemic, 2020 --- -Turbulence
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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.
Continuum mechanics. --- Fluid mechanics. --- Aerospace engineering. --- Astronautics. --- Computational intelligence. --- Continuum Mechanics. --- Engineering Fluid Dynamics. --- Aerospace Technology and Astronautics. --- Computational Intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Aeronautical engineering --- Astronautics --- Engineering --- Hydromechanics --- Continuum mechanics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Turbulence --- Vortex-motion --- Mathematical models --- Aerodynamics --- Eddies --- Fluid dynamics --- Hydrodynamics --- Rotational motion
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