Vorticity, Statistical Mechanics, and Monte Carlo Simulation

Joseph Nebus

ISBN 10: 1441922474 / ISBN 13: 9781441922472

Edité par Springer New York, Springer US, 2010

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book is meant for an audience of advanced undergraduates and graduate students taking courses on the statistical mechanics approach to turbulent ows and on stochastic simulations. It is also suitable for the self-study of professionals involved in the research and modelling of large scale stochastic uid ows with a substantial vortical component. Several related ideas motivate the approach in this book, namely, the application of equilibrium statistical mechanics to two-dimensional and 2- dimensional uid ows in the spirit of Onsager [337], and Kraichnan [227], is taken to be a valid starting point, and the primary importance of non-linear convection e ects combined with the gravitational and rotational properties of large scale strati ed ows over the secondary e ects of viscosity is assumed. The latter point is corroborated by the many successful studies of uid v- cosity which limit its e ects to speci c and narrow regions such as boundary layers, and to the initial and transient phases of the experiment such as in the Ekman layer and spin-up [154] [344].

N° de réf. du vendeur 9781441922472

Détails bibliographiques

• Titre: Vorticity, Statistical Mechanics, and Monte Carlo Simulation
• Éditeur: Springer New York, Springer US
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 1441922474
• ISBN à 13 chiffres: 9781441922472
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

Synopsis

This book is drawn from across many active fields of mathematics and physics. The book is a unique addition to the literature and offers fresh insights into an important field. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics.

Of particular interest should be the application of Monte Carlo methods to problems like dispersal of points on the sphere, the phase transitions of viscid fluid flows in models that increasingly approach the conditions of actual planetary atmospheres, and the treatment of negative absolute temperatures and the effects these extremely high-energy states have on fluid flows.

Présentation de l'éditeur

This book is drawn from across many active fields of mathematics and physics. With fresh insights into an important field, the book addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and related fields.