Shell Model View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1995

AUTHORS

M. H. Jensen , G. Paladin , A. Vulpiani

ABSTRACT

The idea behind shell models of turbulence is to formulate a reasonable model that mimics the Navier-Stokes equations 1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\partial }_{t}}u + (u \cdot \nabla )u = - \frac{{\nabla P}}{\rho } + \nu \Delta u + {{f}_{u}} $$\end{document} and with which it is possible to study numerically, and even analytically, the fundamental properties of turbulent flows, like the energy cascade, probability distributions, intermittency effects, corrections to Kolmogorov theory, to mention a few. In practice, a direct numerical simulation of Eqs.(l) can only be performed at moderate Reynolds numbers (at the limit of the present computer facilities), and, in any case, it is highly non-trivial to extract such detailed information from it. For shell models on the other hand, it is possible to do numerical studies at very high Reynolds numbers (∼ 1010) and to obtain an extended inertial range for the energy cascade. More... »

PAGES

101-104

Book

TITLE

Turbulence

ISBN

978-1-4613-6106-0
978-1-4615-2586-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4615-2586-8_17

DOI

http://dx.doi.org/10.1007/978-1-4615-2586-8_17

DIMENSIONS

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