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Generation of slow large scales in forced rotating stratified turbulence

Published online by Cambridge University Press:  30 January 2002

LESLIE M. SMITH  and
FABIAN WALEFFE
LESLIE M. SMITH
Affiliation:
Departments of Mathematics and Mechanical Engineering, University of Wisconsin, Madison, WI 53706, USA
FABIAN WALEFFE
Affiliation:
Departments of Mathematics and Engineering Physics, University of Wisconsin, Madison, WI 53706, USA
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Abstract

Numerical simulations are used to study homogeneous, forced turbulence in three-dimensional rotating, stably stratified flow in the Boussinesq approximation, where the rotation axis and gravity are both in the zˆ-direction. Energy is injected through a three-dimensional isotropic white-noise forcing localized at small scales. The parameter range studied corresponds to Froude numbers smaller than an O(1) critical value, below which energy is transferred to scales larger than the forcing scales. The values of the ratio N/f range from ≈1/2 to ∞, where N is the Brunt–Väisälä frequency and f is twice the rotation rate. For strongly stratified flows (N/f[Gt ]1), the slow large scales generated by the fast small-scale forcing consist of vertically sheared horizontal flow. Quasi-geostrophic dynamics dominate, at large scales, only when 1/2 [les ] N/f [les ] 2, which is the range where resonant triad interactions cannot occur.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 451 , 25 January 2002 , pp. 145 - 168
Copyright
© 2002 Cambridge University Press

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