On fully nonlinear, vertically trapped wave packets in a stratified fluid on the f-plane
The ubiquity of solitary and solitarylike internal waves in the coastal ocean has been recognized for some time. Recent theoretical studies of a strongly nonlinear, weakly nonhydrostatic set of layer-...
The ubiquity of solitary and solitarylike internal waves in the coastal ocean has been recognized for some time. Recent theoretical studies of a strongly nonlinear, weakly nonhydrostatic set of layer-...
Retraction: “Direct numerical simulation of the Ekman layer: A step in Reynolds number, and cautious support for a log law with a shifted origin” [Phys. Fluids 20, 101507 (2008)]
Spectral and particle dispersion properties of steady two-dimensional multiscale flows
Phys. Fluids 21, 107101 (2009); doi:10.1063/1.3241994
Published 6 October 2009
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The spectral and particle dispersion characteristics of steady multiscale laminar thin-layer flows are investigated through numerical simulations of a two-dimensional layer-averaged model. The model assumes a semiparabolic velocity profile and is solved using a semi-Lagrangian spline method. The main features of the flows are turbulentlike and consistent with previous experimental studies. The Eulerian wavenumber spectra and the Lagrangian frequency spectra oscillate around power laws that reflect the self-similarity of the forcing. In the weak forcing regime, the exponents of these power laws can be related to the multiscale geometry and the intensity scaling of the forcing. The Lagrangian spectra also show low-frequency plateaus, which arise from the slow motions far away from the applied forces. The absolute dispersion of tracer particles in these steady planar flows presents a ballistic stage followed by a diffusive regime, which results from the decorrelated motions of particles lying on streamlines of different periods. Relative dispersion shows an additional intermediate stage consisting of several separation bursts, which originate from the intense strain regions imposed by the different forcing scales. While these bursts can cause locally superquadratic mean square separation, the trapping by steady recirculation regions rules out an intermediate relative dispersion power law regardless of the number of scales in the flow.
©2009 American Institute of Physics
| History: | Received 9 January 2009; accepted 7 September 2009; published 6 October 2009 |
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http://link.aip.org/link/?PHFLE6/21/107101/1 |
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