Planetary Waves on a Hemisphere Bounded by Meridians of Longitude

Details Planetary Waves on a Hemisphere Bounded by Meridians of Longitude Planetary Waves on a Hemisphere Bounded by Meridians of Longitude

Aug 1966

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1966rspta.260..317l&link_type=abstract

Philosophical Transactions for the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 260, Issue 1111

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6

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This paper studies the free modes of oscillation in a rotating hemispherical basin bounded by a great-circle passing through the pole of rotation. The radius R of the globe, the rate of rotation Ω , the depth of fluid h and the acceleration of gravity g are assumed to be such that h << R and RΩ /surd (gh) << 1. The waves can then be treated as non-divergent. The problem is solved by two independent methods, and the results are compared with each other and with the β -plane approximation. It is found that the eight lowest modes of oscillation correspond quite well to simple modes in the β -plane, the approximate periods being within 20%. Higher modes show no clear correspondence. It is suggested that the peak at 0\cdot 5 c/d in the spectrum of sea level at Honolulu may correspond to the lowest mode of oscillation in the Pacific Ocean.

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