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Precession-driven flows in non-axisymmetric ellipsoids

Published online by Cambridge University Press:  26 November 2013

J. Noir  and
D. Cébron
J. Noir*
Affiliation:
Institut für Geophysik, ETH Zürich, Sonneggstrasse 5, Zürich CH-8092, Switzerland
D. Cébron
Affiliation:
Institut für Geophysik, ETH Zürich, Sonneggstrasse 5, Zürich CH-8092, Switzerland
*
†Email address for correspondence: [email protected]
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Abstract

We study the flow forced by precession in rigid non-axisymmetric ellipsoidal containers. To do so, we revisit the inviscid and viscous analytical models that have been previously developed for the spheroidal geometry by, respectively, Poincaré (Bull. Astronomique, vol. XXVIII, 1910, pp. 1–36) and Busse (J. Fluid Mech., vol. 33, 1968, pp. 739–751), and we report the first numerical simulations of flows in such a geometry. In strong contrast with axisymmetric spheroids, where the forced flow is systematically stationary in the precessing frame, we show that the forced flow is unsteady and periodic. Comparisons of the numerical simulations with the proposed theoretical model show excellent agreement for both axisymmetric and non-axisymmetric containers. Finally, since the studied configuration corresponds to a tidally locked celestial body such as the Earth’s Moon, we use our model to investigate the challenging but planetary-relevant limit of very small Ekman numbers and the particular case of our Moon.

JFM classification

Geophysical and Geological Flows: Geophysical and Geological Flows Geophysical and Geological Flows: Topographic effects
Type
Papers
Information
Journal of Fluid Mechanics , Volume 737 , 25 December 2013 , pp. 412 - 439
Copyright
©2013 Cambridge University Press 

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