On Stochastic Shell Models Of Turbulence
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On Stochastic Shell Models Of Turbulence
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Author : Chandana J. Wijeratne
language : en
Publisher:
Release Date : 2011
On Stochastic Shell Models Of Turbulence written by Chandana J. Wijeratne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Stochastic models categories.
Large Deviations For The Stochastic Shell Model Of Turbulence
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Author :
language : en
Publisher:
Release Date : 2009
Large Deviations For The Stochastic Shell Model Of Turbulence written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
In this work, we first prove the existence and uniqueness of a strong solution to stochastic GOY model of turbulence with a small multiplicative noise. Then using the weak convergence approach, Laplace principle for solutions of the stochastic GOY model is established in certain Polish space. Thus a Wentzell-Freidlin type large deviation principle is established utilizing certain results by Varadhan and Bryc.
A Stochastic Shell Model Based On Edqnm Theory For Turbulent Mixing And Reacting Flows
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Author : Yanjun Xia
language : en
Publisher:
Release Date : 2011
A Stochastic Shell Model Based On Edqnm Theory For Turbulent Mixing And Reacting Flows written by Yanjun Xia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
The probability density function (PDF) method provides an elegant solution to the closure problems of the highly-nonlinear chemical source terms. The instantaneous velocity, temperature and species concentrations are replaced by a high-dimensional joint PDF. Higher-order moments can be computed from this joint PDF. However, since the PDF model lacks two-point information, the effects of molecular mixing have to be modeled. Since the qualitative shape of the PDF is sensitive to the mixing model, especially when molecular mixing plays an important role, an accurate description of mixing is critical to PDF methods. Because molecular mixing is a multi-scale process, a spectral model is most desirable for it can naturally introduce all the length and time scales. However, it has difficulties in closing the chemical source term. A new model aiming at exploiting the advantages of the PDF framework and the spectral representation in a complementary way is derived. The eddy damped quasi-normal Markovian (EDQNM) model is chosen to provide the spectral information, and the stochastic shell mixing model (SSMM) based on the EDQNM model is able to supply the fine-grained joint PDF of velocity and scalars. A Monte Carlo scheme is used to advance the notional particles in spectral space. The Lagrangian statistics predicted by SSMM are in good agreement with direct numerical simulation (DNS). However, violation of the scalar bounds poses a challenge to the SSMM. An effective modification, called "zeroth" mode, has been proposed for an isotropic homogeneous system. Comparisons of the bounded SSMM have been made with DNS and they are in overall good agreement. Another work done in this thesis is the development of the EDQNM model for turbulent reacting fields, its comparison with DNS data and its application to study effects of different critical dimensionless parameters such as Reynolds number, Schmidt number and Damkhler number.
Stochastic Models Of Structural Plasma Turbulence
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Author : Victor Yu Korolev
language : en
Publisher: Walter de Gruyter
Release Date : 2006
Stochastic Models Of Structural Plasma Turbulence written by Victor Yu Korolev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Plasma turbulence categories.
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.
Turbulence And Shell Models
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Author : Peter D. Ditlevsen
language : en
Publisher: Cambridge University Press
Release Date : 2010-10-28
Turbulence And Shell Models written by Peter D. Ditlevsen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-28 with Science categories.
Turbulence is a huge subject of ongoing research. This book bridges the modern development in dynamical systems theory and the theory of fully developed turbulence. Many solved and unsolved problems in turbulence have equivalencies in simple dynamical models, which are much easier to handle analytically and numerically. This book gives a modern view of the subject by first giving the essentials of the theory of turbulence before moving on to shell models. These show much of the same complex behaviour as fluid turbulence, but are much easier to handle analytically and numerically. Any necessary maths is explained and self-contained, making this book ideal for advanced undergraduates and graduate students, as well as researchers and professionals, wanting to understand the basics of fully developed turbulence.
Iutam Symposium On Computational Physics And New Perspectives In Turbulence
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Author : Yukio Kaneda
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-26
Iutam Symposium On Computational Physics And New Perspectives In Turbulence written by Yukio Kaneda 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 2007-12-26 with Science categories.
This volume contains the proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, held at Nagoya University, Nagoya, Japan, in September 2006. With special emphasis given to fundamental aspects of the physics of turbulence, coverage includes experimental approaches to fundamental problems in turbulence, turbulence modeling and numerical methods, and geophysical and astrophysical turbulence.
A Helical Shell Model Of Turbulence
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Author :
language : en
Publisher:
Release Date : 2015
A Helical Shell Model Of Turbulence written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Turbulence In Fluids
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Author : Marcel Lesieur
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Turbulence In Fluids written by Marcel Lesieur 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 2012-12-06 with Science categories.
Turbulence is a dangerous topic which is often at the origin of serious fights in the scientific meetings devoted to it since it represents extremely different points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even difficult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view have been advocated during these last ten years: the first one is "statistical", and tries to model the evolution of averaged quantities of the flow. This com has followed the glorious trail of Taylor and Kolmogorov, munity, which believes in the phenomenology of cascades, and strongly disputes the possibility of any coherence or order associated to turbulence. On the other bank of the river stands the "coherence among chaos" community, which considers turbulence from a purely deterministic po int of view, by studying either the behaviour of dynamical systems, or the stability of flows in various situations. To this community are also associated the experimentalists who seek to identify coherent structures in shear flows.
On Spectral Laws Of 2d Turbulence In Shell Models
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Author : Erik Aurell
language : en
Publisher:
Release Date : 1993
On Spectral Laws Of 2d Turbulence In Shell Models written by Erik Aurell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Quantum And Stochastic Mathematical Physics
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Author : Astrid Hilbert
language : en
Publisher: Springer Nature
Release Date : 2023-04-02
Quantum And Stochastic Mathematical Physics written by Astrid Hilbert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-02 with Mathematics categories.
Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.