Physics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phdt........59f&link_type=abstract
Thesis (PH.D.)--MCGILL UNIVERSITY (CANADA), 1987.Source: Dissertation Abstracts International, Volume: 48-10, Section: B, page:
Physics
Scientific paper
The stability of free and forced planetary waves in a beta-channel is investigated with a barotropic model. The forced waves at equilibrium result from a constant mean-zonal wind interacting with a finite-amplitude topography. The frequencies of all infinitesimal perturbations to the equilibrium flows are determined numerically as a function of the flow parameters. The results are interpreted using a truncated spectral model and related to those of previous studies with infinite beta -planes. In contrast to some earlier analytical studies we find that unstable long waves (L_{x } > L_{y }) exist under superresonant conditions. We also report on the existence of an interesting travelling topographic instability. The linear instability of a weakly non-zonal flow is investigated numerically and analytically (via WKB theory). The theory reproduces the qualitative nature of the numerically -determined fastest-growing mode. Nonlinear integrations, involving many degrees of freedom, reveal that initially-infinitesimal disturbances may grow explosively to finite-amplitude. The longer-term integrations are interpreted using a statistical mechanical model.
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