Statistics – Computation
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..27..183f&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 27, no. 3-4, 1983, p. 183-216.
Statistics
Computation
2
Computational Fluid Dynamics, Energy Dissipation, Gravity Waves, Internal Waves, Rotating Fluids, Stratified Flow, Boundary Layer Equations, Flow Geometry, Oscillating Flow, Viscous Flow
Scientific paper
Boundary layer techniques are used to examine the modifications due to dissipation in the normal modes of a uniformly rotating, density stratified, Boussinesq fluid in a rigid container. Arbitrary relative influence of rotation and stratification is considered. The existence of critical regions of the container boundary is discussed. In cylindrical geometry a formula is derived for the decay factor on the homogeneous 'spin-up' time scale which reveals how the dominant dissipation varies as a function of several parameters. For the situation where the buoyancy and inertial frequency are exactly equal, all boundaries are everywhere critical. In this case the method of multiple time-scales is employed to investigate the confluence inertial-gravity mode which is shown to persist until the diffusive time-scale is achieved.
Friedlander Susan
Siegmann William L.
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