Mathematical And Numerical Foundations Of Turbulence Models And Applications


Mathematical And Numerical Foundations Of Turbulence Models And Applications
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Mathematical And Numerical Foundations Of Turbulence Models And Applications


Mathematical And Numerical Foundations Of Turbulence Models And Applications
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Author : Tomás Chacón Rebollo
language : en
Publisher: Springer
Release Date : 2014-06-17

Mathematical And Numerical Foundations Of Turbulence Models And Applications written by Tomás Chacón Rebollo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-17 with Mathematics categories.


With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists and climatologists.



Statistical Theory And Modeling For Turbulent Flows


Statistical Theory And Modeling For Turbulent Flows
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Author : P. A. Durbin
language : en
Publisher: Wiley-Blackwell
Release Date : 2001-03-12

Statistical Theory And Modeling For Turbulent Flows written by P. A. Durbin and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-12 with Mathematics categories.


Most natural and industrial flows are turbulent. The atmosphere and oceans, automobile and aircraft engines, all provide examples of this ubiquitous phenomenon. In recent years, turbulence has become a very lively area of scientific research and application, and this work offers a grounding in the subject of turbulence, developing both the physical insight and the mathematical framework needed to express the theory. Providing a solid foundation in the key topics in turbulence, this valuable reference resource enables the reader to become a knowledgeable developer of predictive tools. This central and broad ranging topic would be of interest to graduate students in a broad range of subjects, including aeronautical and mechanical engineering, applied mathematics and the physical sciences. The accompanying solutions manual to the text also makes this a valuable teaching tool for lecturers and for practising engineers and scientists in computational and experimental and experimental fluid dynamics.



Modeling And Simulation Of Turbulent Flows


Modeling And Simulation Of Turbulent Flows
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Author : Roland Schiestel
language : en
Publisher: John Wiley & Sons
Release Date : 2010-01-05

Modeling And Simulation Of Turbulent Flows written by Roland Schiestel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-05 with Science categories.


This title provides the fundamental bases for developing turbulence models on rational grounds. The main different methods of approach are considered, ranging from statistical modelling at various degrees of complexity to numerical simulations of turbulence. Each of these various methods has its own specific performances and limitations, which appear to be complementary rather than competitive. After a discussion of the basic concepts, mathematical tools and methods for closure, the book considers second order closure models. Emphasis is placed upon this approach because it embodies potentials for clarifying numerous problems in turbulent shear flows. Simpler, generally older models are then presented as simplified versions of the more general second order models. The influence of extra physical parameters is also considered. Finally, the book concludes by examining large Eddy numerical simulations methods. Given the book’s comprehensive coverage, those involved in the theoretical or practical study of turbulence problems in fluids will find this a useful and informative read.



Fundamentals Of Turbulence Modelling


Fundamentals Of Turbulence Modelling
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Author : Ching Jen Chen
language : en
Publisher: CRC Press
Release Date : 1997-12-01

Fundamentals Of Turbulence Modelling written by Ching Jen Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-01 with Technology & Engineering categories.


Focuses on the second-order turbulence-closure model and its applications to engineering problems. Topics include turbulent motion and the averaging process, near-wall turbulence, applications of turbulence models, and turbulent buoyant flows.



Turbulence Models And Their Application


Turbulence Models And Their Application
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Author : Tuncer Cebeci
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-12-04

Turbulence Models And Their Application written by Tuncer Cebeci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-04 with Science categories.


After a brief review of the more popular turbulence models, the author presents and discusses accurate and efficient numerical methods for solving the boundary-layer equations with turbulence models based on algebraic formulas (mixing length, eddy viscosity) or partial-differential transport equations. A computer program employing the Cebeci-Smith model and the k-e model for obtaining the solution of two-dimensional incompressible turbulent flows without separation is discussed in detail and is presented in the accompanying CD.



Computational Fluid Dynamics


Computational Fluid Dynamics
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Author : Takeo Kajishima
language : en
Publisher: Springer
Release Date : 2016-10-01

Computational Fluid Dynamics written by Takeo Kajishima and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-01 with Technology & Engineering categories.


This textbook presents numerical solution techniques for incompressible turbulent flows that occur in a variety of scientific and engineering settings including aerodynamics of ground-based vehicles and low-speed aircraft, fluid flows in energy systems, atmospheric flows, and biological flows. This book encompasses fluid mechanics, partial differential equations, numerical methods, and turbulence models, and emphasizes the foundation on how the governing partial differential equations for incompressible fluid flow can be solved numerically in an accurate and efficient manner. Extensive discussions on incompressible flow solvers and turbulence modeling are also offered. This text is an ideal instructional resource and reference for students, research scientists, and professional engineers interested in analyzing fluid flows using numerical simulations for fundamental research and industrial applications.



Approximate Deconvolution Models Of Turbulence


Approximate Deconvolution Models Of Turbulence
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Author : William J. Layton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-07

Approximate Deconvolution Models Of Turbulence written by William J. Layton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-07 with Mathematics categories.


This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting Approximate Deconvolution Models or ADMs have some advantages over more commonly used turbulence models – as well as some disadvantages. Our goal in this book is to provide a clear and complete mathematical development of ADMs, while pointing out the difficulties that remain. In order to do so, we present the analytical theory of ADMs, along with its connections, motivations and complements in the phenomenology of and algorithms for ADMs.



Engineering Turbulence Modelling And Experiments 5


Engineering Turbulence Modelling And Experiments 5
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Author : W. Rodi
language : en
Publisher: Elsevier
Release Date : 2002-08-21

Engineering Turbulence Modelling And Experiments 5 written by W. Rodi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-21 with Science categories.


Turbulence is one of the key issues in tackling engineering flow problems. As powerful computers and accurate numerical methods are now available for solving the flow equations, and since engineering applications nearly always involve turbulence effects, the reliability of CFD analysis depends increasingly on the performance of the turbulence models. This series of symposia provides a forum for presenting and discussing new developments in the area of turbulence modelling and measurements, with particular emphasis on engineering-related problems. The papers in this set of proceedings were presented at the 5th International Symposium on Engineering Turbulence Modelling and Measurements in September 2002. They look at a variety of areas, including: Turbulence modelling; Direct and large-eddy simulations; Applications of turbulence models; Experimental studies; Transition; Turbulence control; Aerodynamic flow; Aero-acoustics; Turbomachinery flows; Heat transfer; Combustion systems; Two-phase flows. These papers are preceded by a section containing 6 invited papers covering various aspects of turbulence modelling and simulation as well as their practical application, combustion modelling and particle-image velocimetry.



Mathematical And Physical Theory Of Turbulence


Mathematical And Physical Theory Of Turbulence
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Author : John Cannon
language : en
Publisher: CRC Press
Release Date : 2006-06-15

Mathematical And Physical Theory Of Turbulence written by John Cannon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-15 with Science categories.


Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together experts from physics, applied mathematics, and engineering, Mathematical and Physical Theory of Turbulence discusses recent progress and some of the major unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. Containing introductory overviews as well as more specialized sections, this book examines a variety of turbulence-related topics. The authors concentrate on theory, experiments, computational, and mathematical aspects of Navier–Stokes turbulence; geophysical flows; modeling; laboratory experiments; and compressible/magnetohydrodynamic effects. The topics discussed in these areas include finite-time singularities and inviscid dissipation energy; validity of the idealized model incorporating local isotropy, homogeneity, and universality of small scales of high Reynolds numbers, Lagrangian statistics, and measurements; and subrigid-scale modeling and hybrid methods involving a mix of Reynolds-averaged Navier–Stokes (RANS), large-eddy simulations (LES), and direct numerical simulations (DNS). By sharing their expertise and recent research results, the authoritative contributors in Mathematical and Physical Theory of Turbulence promote further advances in the field, benefiting applied mathematicians, physicists, and engineers involved in understanding the complex issues of the turbulence problem.



Hydrodynamic And Magnetohydrodynamic Turbulent Flows


Hydrodynamic And Magnetohydrodynamic Turbulent Flows
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Author : A. Yoshizawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Hydrodynamic And Magnetohydrodynamic Turbulent Flows written by A. Yoshizawa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.


TUrbulence modeling encounters mixed evaluation concerning its impor tance. In engineering flow, the Reynolds number is often very high, and the direct numerical simulation (DNS) based on the resolution of all spatial scales in a flow is beyond the capability of a computer available at present and in the foreseeable near future. The spatial scale of energetic parts of a turbulent flow is much larger than the energy dissipative counterpart, and they have large influence on the transport processes of momentum, heat, matters, etc. The primary subject of turbulence modeling is the proper es timate of these transport processes on the basis of a bold approximation to the energy-dissipation one. In the engineering community, the turbulence modeling is highly evaluated as a mathematical tool indispensable for the analysis of real-world turbulent flow. In the physics community, attention is paid to the study of small-scale components of turbulent flow linked with the energy-dissipation process, and much less interest is shown in the foregoing transport processes in real-world flow. This research tendency is closely related to the general belief that universal properties of turbulence can be found in small-scale phenomena. Such a study has really contributed much to the construction of statistical theoretical approaches to turbulence. The estrangement between the physics community and the turbulence modeling is further enhanced by the fact that the latter is founded on a weak theoretical basis, compared with the study of small-scale turbulence.