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JOURNAL OF GEOPHYSICAL RESEARCH,
VOL. 102, NO. C10,
PAGES 23,009–23,024,
1997
Physics and observational signatures of free, forced, and frictional stratified seamount-trapped waves
Daniel L. Codiga
School of Oceanography, University of Washington, Seattle
Abstract
To interpret measurements at Cobb Seamount, the observational signatures in stratified seamount-trapped waves, with emphasis
on forcing and frictional influences, are demonstrated for bathymetry and stratification representing a typical midlatitude
seamount. Inviscid waves propagate azimuthally with standing wave radial and vertical structure. This includes current ellipses
parallel or perpendicular to isobaths with uncorrelated radial and azimuthal velocities, nearly horizontal depth regions within
which currents rotate in time clockwise or counterclockwise, and velocity turning with depth alternately clockwise and counterclockwise
in successive quarter periods. Waves are explained conceptually in terms of “stratified slope-Kelvin waves” (plane, propagating,
ƒ plane topographic Rossby waves in stratification over a planar sloping bottom). An inviscid stratified seamount-trapped
wave is a cross-isobath (radial and vertical) mode, of equal amplitude stratified slope-Kelvin waves propagating upslope and
downslope, that resonates in the azimuthally reentrant waveguide of the sloping seamount sides. Cross-isobath structure is
controlled by (1) ray refraction by slope angle variations, (2) Airy function behavior near turning points where bottom slope
decreases to the ratio between wave and buoyancy frequencies, and (3) geometric compression by cylindrical geometry. In a
stationary forced damped wave maintained by ambient tidal currents against dissipation concentrated near the summit where
currents are strongest, cross-isobath standing wave structure is broken with rays carrying energy upslope dominating; currents
propagate phase downward and outward in addition to azimuthally, have ellipses oriented across isobaths with positively correlated
radial and azimuthal velocities, and are dominated by clockwise rotation in time and counterclockwise turning with depth.
Received 7
October
1996;
accepted 15
May
1997.
Read Full Article Cited by
Citation: Codiga, D. L.
(1997),
Physics and observational signatures of free, forced, and frictional stratified seamount-trapped waves,
J. Geophys. Res.,
102(C10),
23,009–23,024.
Copyright 1997 by the American Geophysical Union.
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