Turbulence and Shell Models

Turbulence and Shell Models PDF

Author: Peter D. Ditlevsen

Publisher: Cambridge University Press

Published: 2010-10-28

Total Pages: 163

ISBN-13: 1139492020

DOWNLOAD EBOOK →

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.

Large Deviations for the Stochastic Shell Model of Turbulence

Large Deviations for the Stochastic Shell Model of Turbulence PDF

Author:

Publisher:

Published: 2009

Total Pages: 30

ISBN-13:

DOWNLOAD EBOOK →

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.

Modeling in Fluid Mechanics

Modeling in Fluid Mechanics PDF

Author: Igor Gaissinski

Publisher: CRC Press

Published: 2018-06-13

Total Pages: 534

ISBN-13: 1351029045

DOWNLOAD EBOOK →

This volume is dedicated to modeling in fluid mechanics and is divided into four chapters, which contain a significant number of useful exercises with solutions. The authors provide relatively complete references on relevant topics in the bibliography at the end of each chapter.