Random Functions and Turbulence

Random Functions and Turbulence
Author: Stoĭcho Panchev
Publisher: Pergamon
Total Pages: 466
Release: 1971
Genre: Mathematics
ISBN:

International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random ...

Random Functions and Turbulence

Random Functions and Turbulence
Author: S. Panchev
Publisher: Elsevier
Total Pages: 459
Release: 2016-10-27
Genre: Technology & Engineering
ISBN: 148314559X

International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.

Stochastic Tools in Turbulence

Stochastic Tools in Turbulence
Author: John L. Lumley
Publisher: Courier Corporation
Total Pages: 210
Release: 2007-01-01
Genre: Science
ISBN: 0486462706

This accessible treatment offers the mathematical tools for describing and solving problems related to stochastic vector fields. Advanced undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will prove a valuable reference for applied mathematicians and professionals in the fields of aerospace, chemical, civil, and nuclear engineering. The author, Professor Emeritus of Engineering at Cornell University, starts with a survey of probability distributions and densities and proceeds to examinations of moments, characteristic functions, and the Gaussian distribution; random functions; and random processes in more dimensions. Extensive appendixes—which include information on Fourier transforms, tensors, generalized functions, and invariant theory—contribute toward making this volume mathematically self-contained.

Turbulence and Random Processes in Fluid Mechanics

Turbulence and Random Processes in Fluid Mechanics
Author: M. T. Landahl
Publisher: Cambridge University Press
Total Pages: 184
Release: 1992-09-25
Genre: Mathematics
ISBN: 9780521422130

Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science.

New trends in turbulence. Turbulence: nouveaux aspects

New trends in turbulence. Turbulence: nouveaux aspects
Author: M. Lesieur
Publisher: Springer Science & Business Media
Total Pages: 565
Release: 2002-01-10
Genre: Science
ISBN: 3540429786

Following a longstanding tradition of the Les Houches Summer Schools, this book uses a pedagogically presented and accessible style to treat 2D and 3D turbulence from the experimental, theoretical and computational points of view.

Stochastic Tools in Turbulence

Stochastic Tools in Turbulence
Author: John L. Lumey
Publisher: Elsevier
Total Pages: 209
Release: 2012-12-02
Genre: Mathematics
ISBN: 0323162258

Stochastic Tools in Turbulence discusses the available mathematical tools to describe stochastic vector fields to solve problems related to these fields. The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. The text describes probability distributions and densities, including Lebesgue integration, conditional probabilities, conditional expectations, statistical independence, lack of correlation. The book also explains the significance of the moments, the properties of the characteristic function, and the Gaussian distribution from a more physical point of view. In considering fields, one must account for single-valued functions of one or more parameters, or collections of single-valued functions of one or more parameters such as time or space coordinates. The text also discusses multidimensional vector fields of finite energy, the characteristic eddies for a homogenous vector field, as well as, the distribution of solutions of an algebraic equation. Engineers, algebra students, and professors of statistics and advanced mathematics will find the book highly useful.

Turbulence in Fluids

Turbulence in Fluids
Author: Marcel Lesieur
Publisher: Springer Science & Business Media
Total Pages: 593
Release: 2008-03-26
Genre: Technology & Engineering
ISBN: 1402064357

Now in its fully updated fourth edition, this leading text in its field is an exhaustive monograph on turbulence in fluids in its theoretical and applied aspects. The authors examine a number of advanced developments using mathematical spectral methods, direct-numerical simulations, and large-eddy simulations. The book remains a hugely important contribution to the literature on a topic of great importance for engineering and environmental applications, and presents a very detailed presentation of the field.

Turbulence and Random Processes in Fluid Mechanics

Turbulence and Random Processes in Fluid Mechanics
Author: M. T. Landahl
Publisher: CUP Archive
Total Pages: 164
Release: 1987-07-23
Genre: Mathematics
ISBN: 9780521346870

Fluid flow turbulence is a phenomenon of great importance in many fields of engineering and science. Copyright © Libri GmbH. All rights reserved.

Handbook of Turbulence

Handbook of Turbulence
Author: Walter Frost
Publisher: Springer Science & Business Media
Total Pages: 511
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1468423223

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.

The Theory of Homogeneous Turbulence

The Theory of Homogeneous Turbulence
Author: G. K. Batchelor
Publisher: Cambridge University Press
Total Pages: 216
Release: 1953
Genre: Mathematics
ISBN: 9780521041171

This is a reissue of Professor Batchelor's text on the theory of turbulent motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.