Mathematical and Numerical Foundations of Turbulence Models and Applications

Mathematical and Numerical Foundations of Turbulence Models and Applications
Author: Tomás Chacón Rebollo
Publisher: Springer
Total Pages: 530
Release: 2014-06-17
Genre: Mathematics
ISBN: 1493904558

Download Mathematical and Numerical Foundations of Turbulence Models and Applications Book in PDF, Epub and Kindle

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
Author: P. A. Durbin
Publisher: Wiley-Blackwell
Total Pages: 312
Release: 2001-03-12
Genre: Mathematics
ISBN:

Download Statistical Theory and Modeling for Turbulent Flows Book in PDF, Epub and Kindle

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.

Fundamentals Of Turbulence Modelling

Fundamentals Of Turbulence Modelling
Author: Ching Jen Chen
Publisher: CRC Press
Total Pages: 312
Release: 1997-12-01
Genre: Technology & Engineering
ISBN: 9781560324058

Download Fundamentals Of Turbulence Modelling Book in PDF, Epub and Kindle

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
Author: Tuncer Cebeci
Publisher: Springer Science & Business Media
Total Pages: 140
Release: 2003-12-04
Genre: Science
ISBN: 9783540402886

Download Turbulence Models and Their Application Book in PDF, Epub and Kindle

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.

Modeling and Simulation of Turbulent Flows

Modeling and Simulation of Turbulent Flows
Author: Roland Schiestel
Publisher: John Wiley & Sons
Total Pages: 751
Release: 2010-01-05
Genre: Science
ISBN: 0470393467

Download Modeling and Simulation of Turbulent Flows Book in PDF, Epub and Kindle

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.

Statistical Theory and Modeling for Turbulent Flows

Statistical Theory and Modeling for Turbulent Flows
Author: P. A. Durbin
Publisher: Wiley
Total Pages: 0
Release: 2001-02-27
Genre: Science
ISBN: 9780471497363

Download Statistical Theory and Modeling for Turbulent Flows Book in PDF, Epub and Kindle

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.

Computational Fluid Dynamics

Computational Fluid Dynamics
Author: Takeo Kajishima
Publisher: Springer
Total Pages: 364
Release: 2016-10-01
Genre: Technology & Engineering
ISBN: 3319453041

Download Computational Fluid Dynamics Book in PDF, Epub and Kindle

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.

Mathematical Analysis With Applications

Mathematical Analysis With Applications
Author: Sandra Pinelas
Publisher: Springer Nature
Total Pages: 433
Release: 2020-05-26
Genre: Mathematics
ISBN: 3030421767

Download Mathematical Analysis With Applications Book in PDF, Epub and Kindle

This proceedings volume covers research in key areas of applied mathematical analysis, and gathers works presented at the international conference “Concord-90,” in honor of the 90th birthday of Professor Constantin Corduneanu (1928-2018). The event – which Professor Corduneanu was able to attend – was held at Ural Federal University in Ekaterinburg, Russia, on July 26-28, 2018. Professor Corduneanu’s research in mathematical analysis spanned nearly seven decades and explored a range of important issues in the field, including studies of global existence, stability problems, and oscillation theory, with special emphasis on various classes of nonlinear equations. He published over two hundred articles and several books, including “Almost Periodic Oscillations and Waves” (Springer, 2009). In this volume the reader will find selected, peer-reviewed articles from seven fields of research – Differential Equations, Optimal Control and Stabilization; Stochastic Methods; Topology and Functions Approximation; Mathematical Biology and Bioinformatics; Mathematical Modeling in Mining; Mathematical Modeling in Economics; and Computer Science and Image Processing – which honor and reflect Professor Corduneanu’s legacy in the fields of oscillation, stability and control theory.

Turbulence: Numerical Analysis, Modelling and Simulation

Turbulence: Numerical Analysis, Modelling and Simulation
Author: William Layton
Publisher: MDPI
Total Pages: 229
Release: 2018-05-04
Genre: Mathematics
ISBN: 3038428094

Download Turbulence: Numerical Analysis, Modelling and Simulation Book in PDF, Epub and Kindle

This book is a printed edition of the Special Issue "Turbulence: Numerical Analysis, Modelling and Simulation" that was published in Fluids

Handbook of Turbulence

Handbook of Turbulence
Author: Walter Frost
Publisher: Springer
Total Pages: 498
Release: 2012-03-08
Genre: Technology & Engineering
ISBN: 9781468423242

Download Handbook of Turbulence Book in PDF, Epub and Kindle

Turbulence takes place in practically all flow situations that occur naturally or in modern technological systems. Therefore, considerable effort is being expended in an attempt to understand this very complex physical phenome non and to develop both empirical and mathematical models for its description. Such numerical and analytical computational schemes would allow the reliable prediction and design of turbulent flow processes to be carried out. The purpose of this book is to bring together, in a usable form, some of the fundamental concepts of turbulence along with turbulence models and experimental techniques. It is hoped that these have "general applicability" in current engineering design. The phrase "general applicabil ity" is highlighted because the theory of turbulence is still so much in a formative stage that completely general analyses are not available now, nor will they be available in the immediate future. The concepts and models described herein represent the state-of-the art methods that are now being used to give answers to turbulent flow problems. As in all turbulent flow analysis, the methods are a blend of analytical and empirical input, and the reader should be cognizant of the simplification and restrictions imposed upon the methods when applyingthem to physical situations different from those for which they have been developed.