Turbulence And Stochastic Processes
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Author | : Julian C. R. Hunt |
Publisher | : Scholium International |
Total Pages | : 240 |
Release | : 1991 |
Genre | : Science |
ISBN | : 9780854034413 |
Commemorates A.N. Kolgorov's 1941 paper on turbulence, and other papers which established many of the key ideas of probability theory, stochastic processes and turbulence. Other contributions cover topics such as probabilty theory, branching processes, fractal variables, and turbulent combustion.
Author | : Mikhael Gorokhovski |
Publisher | : Iste Press - Elsevier |
Total Pages | : 250 |
Release | : 2016-10-26 |
Genre | : Technology & Engineering |
ISBN | : 9781785481109 |
Author | : |
Publisher | : |
Total Pages | : 240 |
Release | : 1991 |
Genre | : |
ISBN | : |
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.
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.
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.
Author | : Victor Yu Korolev |
Publisher | : Walter de Gruyter |
Total Pages | : 424 |
Release | : 2006 |
Genre | : Plasma turbulence |
ISBN | : 9789067644495 |
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
Author | : David Tor Bonde |
Publisher | : |
Total Pages | : 54 |
Release | : 2013 |
Genre | : |
ISBN | : |
Author | : Stefan Heinz |
Publisher | : Springer Science & Business Media |
Total Pages | : 232 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3662100223 |
The simulation of technological and environmental flows is very important for many industrial developments. A major challenge related to their modeling is to involve the characteristic turbulence that appears in most of these flows. The traditional way to tackle this question is to use deterministic equations where the effects of turbulence are directly parametrized, i. e. , assumed as functions of the variables considered. However, this approach often becomes problematic, in particular if reacting flows have to be simulated. In many cases, it turns out that appropriate approximations for the closure of deterministic equations are simply unavailable. The alternative to the traditional way of modeling turbulence is to construct stochastic models which explain the random nature of turbulence. The application of such models is very attractive: one can overcome the closure problems that are inherent to deterministic methods on the basis of relatively simple and physically consistent models. Thus, from a general point of view, the use of stochastic methods for turbulence simulations seems to be the optimal way to solve most of the problems related to industrial flow simulations. However, it turns out that this is not as simple as it looks at first glance. The first question concerns the numerical solution of stochastic equations for flows of environmental and technological interest. To calculate industrial flows, 3 one often has to consider a number of grid cells that is of the order of 100 .
Author | : Bjorn Birnir |
Publisher | : Springer Science & Business Media |
Total Pages | : 117 |
Release | : 2013-01-31 |
Genre | : Mathematics |
ISBN | : 1461462622 |
Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development of the statistical theory of the Navier-Stokes equations describes turbulent flow has been an open problem. The Kolmogorov-Obukhov Theory of Turbulence develops a statistical theory of turbulence from the stochastic Navier-Stokes equation and the physical theory, that was proposed by Kolmogorov and Obukhov in 1941. The statistical theory of turbulence shows that the noise in developed turbulence is a general form which can be used to present a mathematical model for the stochastic Navier-Stokes equation. The statistical theory of the stochastic Navier-Stokes equation is developed in a pedagogical manner and shown to imply the Kolmogorov-Obukhov statistical theory. This book looks at a new mathematical theory in turbulence which may lead to many new developments in vorticity and Lagrangian turbulence. But even more importantly it may produce a systematic way of improving direct Navier-Stokes simulations and lead to a major jump in the technology both preventing and utilizing turbulence.