Analytical Models for Vertical Collapse and Instability in Stably Stratified Flows View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2000

AUTHORS

A. J. Majda , M. J. Grote , M. G. Shefter

ABSTRACT

Following earlier work of two of the authors (Majda and Grote, 1997), analytic models with vertical collapse in strongly stratified fluids are studied here through exact laminar solutions of the equations describing low Froude number limiting dynamics. It is found that fairly weak rotation with moderately large Rossby numbersRo =1, 5, can prevent the vertical collapse process in these exact solutions; the collapse process is also suppressed for sufficiently low Reynolds numbers of orderRe =100. In a complimentary direction, the authors propose a new explicit criterion for development of additional instabilities in the Boussinesq equations at low Froude number as compared with the low Froude number limiting dynamics. This criterion is developed through an analytic study of elementary exact solutions of the Boussinesq equations at low Froude numbers and involves the relative magnitudes of the local vertical vorticity and horizontal strain. More... »

PAGES

153-177

References to SciGraph publications

  • 1996. Stratified turbulence: Structural issues, and turbulent diffusion in SMALL-SCALE STRUCTURES IN THREE-DIMENSIONAL HYDRODYNAMIC AND MAGNETOHYDRODYNAMIC TURBULENCE
  • 1987. Geophysical Fluid Dynamics in NONE
  • 1998-06. Averaging over Fast Gravity Waves for Geophysical Flows with Unbalanced Initial Data in THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
  • 1984. Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables in NONE
  • Book

    TITLE

    IUTAM Symposium on Developments in Geophysical Turbulence

    ISBN

    978-94-010-3794-5
    978-94-010-0928-7

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-94-010-0928-7_14

    DOI

    http://dx.doi.org/10.1007/978-94-010-0928-7_14

    DIMENSIONS

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