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Author: Howard Rodean Publisher: Springer ISBN: 1935704117 Category : Science Languages : en Pages : 86
Book Description
This book is intended to give atmospheric scientists a basic understanding of the physical and mathematical foundations of stochastic Lagrangian models of turbulent diffusion. It presents the reader with the historical context of the topic, and it provides definitions, criteria and applications for stochastic diffusion.
Author: Howard Rodean Publisher: Springer ISBN: 1935704117 Category : Science Languages : en Pages : 86
Book Description
This book is intended to give atmospheric scientists a basic understanding of the physical and mathematical foundations of stochastic Lagrangian models of turbulent diffusion. It presents the reader with the historical context of the topic, and it provides definitions, criteria and applications for stochastic diffusion.
Author: Abdallah Sofiane Berrouk Publisher: Bentham Science Publishers ISBN: 1608052966 Category : Science Languages : en Pages : 130
Book Description
Understanding the dispersion and the deposition of inertial particles convected by turbulent flows is a domain of research of considerable industrial interest. Inertial particle transport and dispersion are encountered in a wide range of flow configurations, whether they are of industrial or environmental character. Conventional models for turbulent dispersed flows do not appear capable of meeting the growing needs of chemical, mechanical and petroleum industries in this regard and physical environment testing is prohibitive. Direct Numerical Simulation (DNS) and Large Eddy Simulation (LES) ha.
Author: Oleg G. Bakunin Publisher: Springer Science & Business Media ISBN: 3540682228 Category : Science Languages : en Pages : 269
Book Description
This book is intended to serve as an introduction to the multidisciplinary ?eld of anomalous diffusion in complex systems such as turbulent plasma, convective rolls, zonal ?ow systems, stochastic magnetic ?elds, etc. In spite of its great importance, turbulent transport has received comparatively little treatment in published mo- graphs. This book attempts a comprehensive description of the scaling approach to turbulent diffusion. From the methodological point of view, the book focuses on the general use of correlation estimates, quasilinear equations, and continuous time random walk - proach. I provide a detailed structure of some derivations when they may be useful for more general purposes. Correlation methods are ?exible tools to obtain tra- port scalings that give priority to the richness of ingredients in a physical pr- lem. The mathematical description developed here is not meant to provide a set of “recipes” for hydrodynamical turbulence or plasma turbulence; rather, it serves to develop the reader’s physical intuition and understanding of the correlation mec- nisms involved.
Author: Karl K. Sabelfeld Publisher: Walter de Gruyter ISBN: 3110296810 Category : Mathematics Languages : en Pages : 416
Book Description
The book presents advanced stochastic models and simulation methods for random flows and transport of particles by turbulent velocity fields and flows in porous media. Two main classes of models are constructed: (1) turbulent flows are modeled as synthetic random fields which have certain statistics and features mimicing those of turbulent fluid in the regime of interest, and (2) the models are constructed in the form of stochastic differential equations for stochastic Lagrangian trajectories of particles carried by turbulent flows. The book is written for mathematicians, physicists, and engineers studying processes associated with probabilistic interpretation, researchers in applied and computational mathematics, in environmental and engineering sciences dealing with turbulent transport and flows in porous media, as well as nucleation, coagulation, and chemical reaction analysis under fluctuation conditions. It can be of interest for students and post-graduates studying numerical methods for solving stochastic boundary value problems of mathematical physics and dispersion of particles by turbulent flows and flows in porous media.
Author: John Lin Publisher: John Wiley & Sons ISBN: 1118704398 Category : Science Languages : en Pages : 591
Book Description
Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 200. Trajectory-based (“Lagrangian”) atmospheric transport and dispersion modeling has gained in popularity and sophistication over the previous several decades. It is common practice now for researchers around the world to apply Lagrangian models to a wide spectrum of issues. Lagrangian Modeling of the Atmosphere is a comprehensive volume that includes sections on Lagrangian modeling theory, model applications, and tests against observations. Published by the American Geophysical Union as part of the Geophysical Monograph Series. Comprehensive coverage of trajectory-based atmospheric dispersion modeling Important overview of a widely used modeling tool Sections look at modeling theory, application of models, and tests against observations
Author: Grigory Sarnitsky Publisher: ISBN: Category : Fluid mechanics Languages : en Pages : 174
Book Description
Lagrangian stochastic turbulence models offer a uniquely rich and intuitive framework for dealing with turbulence. By directly describing turbulent transport they capture the essential features of turbulence. Stochastic turbulence models are also in an immediate correspondence to the traditional modeling approaches and can be used for deriving realizable RANS and LES closures. At the same time stochastic Lagrangian models are closely related to the methods of modern nonequilibrium statistical mechanics and can draw inspiration from them. Yet the aforementioned virtues of the stochastic Lagrangian framework are underutilized, with no turbulent modeling approaches that would fully use the advantages of the statistical Lagrangian description. We attribute this to the relative difficulty of measuring the parameters (transport coefficients) of stochastic models from experiments and direct numerical simulations (DNS). For example, even for the most promising class of stochastic models, the generalized Langevin model (GLM), there are no methods to measure its parameters, the drift and diffusion tensors, that would work in general nonhomogeneous and nonstationary flows. It is challenging to develop any physical theory without an access to solid experimental data, even more so in the infamously unyieldly case of turbulence. In this work we develop inference methods that can be used to measure the drift and diffusion tensors of the GLM in general flows. These new inference techniques are extensively tested against DNS data for channel flow. Of particular interest are the Green--Kubo methods that originate in nonequilibrium statistical physics. With the newfound ability to measure the parameters of the GLM we investigated the validity of the GLM itself. We established that the GLM is a promising form for turbulence closure that is generally valid throughout the whole channel flow up to the very wall. We also argue how the inference methods based on the Lagrangian acceleration statistics, like the Green--Kubo formulas, can be used to find theoretical closures for the GLM. We show how the models for the drift and diffusion are linked to the small scale structure of turbulence. In the case of homogeneous isotropic turbulence we were able to close the GLM in terms of the dynamics of the velocity gradient tensor, a quantity currently subject to intense research.
Author: Howard Rodean
Author: Howard Rodean
Author: Abdallah Sofiane Berrouk
Author: Orazgeldy Kurbanmuradov
Author: Shuming Du
Author: Oleg G. Bakunin
Author: Karl K. Sabelfeld
Author: John Lin
Author: Masood Seyed Mortazavi
Author: Grigory Sarnitsky
Author: Orazgeldy Kurbanmuradov