From steady to chaotic solutions in a differentially heated cavity of aspect ratio 8
✍ Scribed by Charles-Henri Bruneau; Mazen Saad
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 435 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.396
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✦ Synopsis
Abstract
A splitting method is used for the temperature and the velocity–pressure unknowns to solve the time‐dependent thermal convection problem in an 8:1 enclosure (International Journal for Numerical Methods, this issue). High performance is obtained by means of incomplete Cholesky conjugate gradient for the temperature equation on one hand and a multigrid procedure for Navier–Stokes equations on the other hand. The approximation is achieved by second‐ and third‐order finite differences on staggered grids. The stability of the steady solution is analysed by the computation of the first Lyapunov exponent. The periodic flow at Ra=3.4×10^5^ is widely discussed and some investigations have been done for some higher Rayleigh numbers. Copyright © 2002 John Wiley & Sons, Ltd.