Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus

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.
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Article dans une revue
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2018, 841, pp.380 - 407. 〈10.1017/jfm.2018.10〉
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https://hal.archives-ouvertes.fr/hal-01805193
Contributeur : Anthony Randriamampianina <>
Soumis le : vendredi 1 juin 2018 - 15:02:55
Dernière modification le : mercredi 12 décembre 2018 - 01:12:32

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Thomas Von Larcher, Stéphane Viazzo, Uwe Harlander, Miklos Vincze, Anthony Randriamampianina. Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2018, 841, pp.380 - 407. 〈10.1017/jfm.2018.10〉. 〈hal-01805193〉

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