Non-exponential hydrodynamical growth in density-stratified thin Keplerian discs

Yu M. Shtemler, M. Mond, G. Rüdiger, O. Regev, O. M. Umurhan

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The short time evolution of three-dimensional small perturbations is studied. Exhibiting spectral asymptotic stability, thin discs are none the less shown to host intensive hydrodynamical activity in the shape of non-modal growth of initial small perturbations. Two mechanisms that lead to such behaviour are identified and studied, namely, non-resonant excitation of vertically confined sound waves by stable planar inertia-coriolis modes that results in linear growth with time, as well as resonant coupling of those two modes that leads to a quadratic growth of the initial perturbations. It is further speculated that the non-modal growth can give rise to secondary stratorotational instabilities and thus lead to a new route to turbulence generation in thin discs.

Original languageEnglish
Pages (from-to)517-528
Number of pages12
JournalMonthly Notices of the Royal Astronomical Society
Volume406
Issue number1
DOIs
StatePublished - 1 Jul 2010

Keywords

  • Accretion, accretion discs
  • Hydrodynamics
  • Instabilities
  • Plasmas
  • Protoplanetary discs

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