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

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...

Full description

Saved in:
Bibliographic Details
Published in:Theoretical and computational fluid dynamics 2020-12, Vol.34 (5-6), p.693-711
Main Author: Gelfgat, Alexander Yu
Format: Article
Language:English
Subjects:
Aquatic reptiles
Boundaries
Boundary conditions
Classical and Continuum Physics
Computational Science and Engineering
Convection
Engineering
Engineering Fluid Dynamics
Free convection
Heat transfer
Heat transmission
Instability
Lateral stability
Original Article
Vectors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0935-4964
1432-2250
DOI:10.1007/s00162-020-00541-z