von Larcher, T. and Viazzo, S. and Harlander, U. and Vincze, M. and Randriamampianina, A.
(2018)
*Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus.*
Journal of Fluid Mechanics, 841
.
pp. 380-407.
ISSN 0022-1120

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## Abstract

We report on small-scale instabilities in a thermally driven rotating annulus filled with a liquid with moderate Prandtl number. The study is based on direct numerical simulations and an accompanying laboratory experiment. The computations are performed independently with two different flow solvers, that is, first, the non-oscillatory forward-in-time differencing flow solver EULAG and, second, a higher-order finite-difference compact scheme (HOC). Both branches consistently show the occurrence of small-scale patterns at both vertical sidewalls in the Stewartson layers of the annulus. Small-scale flow structures are known to exist at the inner sidewall. In contrast, short-period waves at the outer sidewall have not yet been reported. The physical mechanisms that possibly trigger these patterns are discussed. We also debate whether these small-scale structures are a gravity wave signal.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group |

ID Code: | 2229 |

Deposited By: | Ulrike Eickers |

Deposited On: | 22 Feb 2018 14:10 |

Last Modified: | 22 Feb 2018 14:10 |

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