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Titlebook: Vorticity, Statistical Mechanics, and Monte Carlo Simulation; Chjan Lim,Joseph Nebus Book 2007 Springer-Verlag New York 2007 Boundary valu

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发表于 2025-3-21 19:57:08 | 显示全部楼层 |阅读模式
书目名称Vorticity, Statistical Mechanics, and Monte Carlo Simulation
编辑Chjan Lim,Joseph Nebus
视频video
概述Will be a unique addition to the literature.Offers fresh insights into an important field
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Vorticity, Statistical Mechanics, and Monte Carlo Simulation; Chjan Lim,Joseph Nebus Book 2007 Springer-Verlag New York 2007 Boundary valu
描述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].
出版日期Book 2007
关键词Boundary value problem; Monte Carlo method; fluid dynamics; fluid mechanics; optimization; fluid- and aer
版次1
doihttps://doi.org/10.1007/978-0-387-49431-9
isbn_softcover978-1-4419-2247-2
isbn_ebook978-0-387-49431-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer-Verlag New York 2007
The information of publication is updating

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Discrete Models in Fluids,ools. We will develop these along two lines of thought. Our first is to represent the vorticity field of a fluid flow as a collection of point particles. This is the vortex gas model, a dynamical system we can treat just as we do any ordinary problem of mechanics. In the next chapter we will create
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Mesh Generation,ex gas system has been analytically explored and quite a few relative equilibria are known by Lim, Montaldi, and Roberts to exist [270] and have been classified in shape and in dynamic stability. We will be interested here in the shape, and use the problem to easily generate meshes for other numeric
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Statistical Mechanics for a Vortex Gas,hes on it. We cannot hope to do more than cover a finite region of the plane. And yet if we run a Monte Carlo algorithm with . vortices all of the same strength initially placed randomly over any region of the plane and with a positive β we can get a reasonably uniform mesh – but it never settles to
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