Physics
Scientific paper
Aug 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3115302s&link_type=abstract
Geophysical Research Letters, Volume 31, Issue 15, CiteID L15302
Physics
1
Oceanography: Physical: Internal And Inertial Waves, Oceanography: Physical: Surface Waves And Tides (1255), Oceanography: Physical: Upper Ocean Processes
Scientific paper
The equations describing the random displacement of the density interface and the associated velocity potentials in a constant depth, two-layer fluid with a rigid lid were solved to second order using an expansion technique analogous to that used to study random surface waves by Longuet-Higgins [1963] and Sharma and Dean [1979]. As expected, the first-order solutions represent a linear superposition of many waves with different amplitudes, wave numbers and frequencies. The second-order solutions describe the second-order wave-wave interactions. The solutions derived from the present work include as special cases those obtained by Thorpe for progressive internal waves [Thorpe, 1968a] and standing internal waves [Thorpe, 1968b]. Moreover, the solutions reduce to those derived for random surface waves by Sharma and Dean [1979] when the density of the upper fluid is taken as zero.
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