Instability of natural convection in a laterally heated cube with perfectly conducting horizontal boundaries

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Abstract

Oscillatory instability of buoyancy convection in a laterally heated cube with perfectly thermally conducting horizontal boundaries is studied. The effect of the spanwise boundaries on the oscillatory instability onset is examined. The problem is treated by Krylov-subspace-iteration-based Newton and Arnoldi methods. The Krylov basis vectors are calculated by a novel approach that involves the SIMPLE iteration and a projection onto a space of functions satisfying all linearized and homogeneous boundary conditions. The finite volume grid is gradually refined from 100 3 to 256 3 finite volumes. A self-sustaining oscillatory process responsible for the instability onset is revealed, visualized and explained.

Original languageEnglish
Pages (from-to)693-711
Number of pages19
JournalTheoretical and Computational Fluid Dynamics
Volume34
Issue number5-6
DOIs
StatePublished - 1 Dec 2020

Keywords

  • Instability
  • Krylov methods
  • Natural convection
  • SIMPLE iteration

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