E. Serre, P. Bontoux and R.
Kotarba
Laboratoire Modélisation Simulation Numérique en Mécanique, CNRS, Marseille, France;
(First received 30 Aug 2000; and in revised form 6 Apr 2001. Published 30 May 2001.)
Abstract
The purpose of this article is the direct numerical simulation (DNS)
of the complex phenomena that precede the transition to turbulence inside
a cavity subjected to rotation. The configurations of cylindrical cavities
subjected to a radial throughflow or to a differential rotation of the
walls are relevant to rotating machinery devices. At a high rotation rate,
the DNS exhibits instability patterns arising inside the thin layers close
to the disks. The efficient spectral solver is based on a Chebyshev-Fourier
approximation. For large aspect ratio and at high Reynolds number, an instability
occurs inside the Ekman and Bödewadt layers in the form of annular
and spiral vortices that are characteristic of type I and type II instabilities.
Abstract
Next Section: Introduction
2. Models
4. Conclusion