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

  • 1987. Dynamics and Structure of Viscous Fingers in Porous Media in TIME-DEPENDENT EFFECTS IN DISORDERED MATERIALS
  • 1986-05. Renormalization group analysis of the global properties of a strange attractor in JOURNAL OF STATISTICAL PHYSICS
  • 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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