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arXiv · 1905.11601

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

Alexander Gelfgat
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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 studied. 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 1003 to 2563 finite volumes. A self-sustaining oscillatory process responsible for the instability onset is revealed, visualized and explained.

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Alexander Gelfgat. 2019-05-28. Instability of natural convection in a laterally heated cube with perfectly conducting horizontal boundaries. https://doi.org/10.1007/s00162-020-00541-z

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