Modelling Fractals and Turbulence View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1991

AUTHORS

Mogens Jensen

ABSTRACT

In these notes we review some recent work on models of fractals and turbulence. For both cases we look for scaling phenomena of various quantities. The scaling behavior of strange attractors obtained from small scale convection experiments is described within the multifractal formalism. The attractors are modelled by low-dimensional dynamical systems and good agreement between theory and experiment is found. To model turbulent phenomena we use many-dimensional dynamical systems called coupled-map-lattices. In a model for boundary-layer-induced turbulence the scaling behavior of the fluctuations is calculated and qualitative agreement with large-scale convection experiments is found. Finally, we model vortex motion by a discrete Ginzburg-Landau model and measure numerically when such motion becomes turbulent. More... »

PAGES

103-124

References to SciGraph publications

Book

TITLE

Information Dynamics

ISBN

978-1-4899-2307-3
978-1-4899-2305-9

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4899-2305-9_7

DOI

http://dx.doi.org/10.1007/978-1-4899-2305-9_7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1041691037


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42 schema:description In these notes we review some recent work on models of fractals and turbulence. For both cases we look for scaling phenomena of various quantities. The scaling behavior of strange attractors obtained from small scale convection experiments is described within the multifractal formalism. The attractors are modelled by low-dimensional dynamical systems and good agreement between theory and experiment is found. To model turbulent phenomena we use many-dimensional dynamical systems called coupled-map-lattices. In a model for boundary-layer-induced turbulence the scaling behavior of the fluctuations is calculated and qualitative agreement with large-scale convection experiments is found. Finally, we model vortex motion by a discrete Ginzburg-Landau model and measure numerically when such motion becomes turbulent.
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