A non-oscillatory balanced scheme for an idealized tropical climate model Part II: Nonlinear coupling and moisture effects

Boualem Khouider, Andrew J. Majda

Research output: Contribution to journalReview article

Abstract

We use the non-oscillatory balanced numerical scheme developed in Part I to track the dynamics of a dry highly nonlinear barotropic/baroclinic coupled solitary wave, as introduced by Biello and Majda (2004), and of the moisture fronts of Frierson et al. (2004) in the presence of dry gravity waves, a barotropic trade wind, and the beta effect. It is demonstrated that, for the barotropic/baroclinic solitary wave, except for a little numerical dissipation, the scheme utilized here preserves total energy despite the strong interactions and exchange of energy between the baroclinic and barotropic components of the flow. After a short transient period where the numerical solution stays close to the asymptotic predictions, the flow develops small scale eddies and ultimately becomes highly turbulent. It is found here that the interaction of a dry gravity wave with a moisture front can either result in a reflection of a fast moistening front or the pure extinction of the precipitation. The barotropic trade wind stretches the precipitation patches and increases the lifetime of the moisture fronts which decay naturally by the effects of dissipation through precipitation while the Coriolis effect makes the moving precipitation patches disappear and appear at other times and places.

Original languageEnglish (US)
Pages (from-to)355-375
Number of pages21
JournalTheoretical and Computational Fluid Dynamics
Volume19
Issue number5
DOIs
StatePublished - Oct 2005

Keywords

  • Barotropic-baroclinic nonlinear interactions
  • Large scale equatorial waves
  • Non-oscillatory balanced schemes
  • Precipitation fronts

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Engineering(all)
  • Fluid Flow and Transfer Processes

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