Analytic approximations to the modon dispersion relation

Details Analytic approximations to the modon dispersion relation Analytic approximations to the modon dispersion relation

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981dyato...6...97b&link_type=abstract

Dynamics of Atmospheres and Oceans, vol. 6, 1981, p. 97-101.

Physics

2

Oceanography, Pade Approximation, Power Series, Solitary Waves, Water Waves, Wave Dispersion, Asymptotic Methods, Atmospheric Circulation, Bessel Functions, Gulf Stream, Ocean Currents, Taylor Series, Water Circulation

Scientific paper

Three explicit analytic approximations are given to the modon dispersion relation developed by Flierl et al. (1980) to describe Gulf Stream rings and related phenomena in the oceans and atmosphere. The solutions are in the form of k(q), and are developed in the form of a power series in q for small q, an inverse power series in 1/q for large q, and a two-point Pade approximant. The low order Pade approximant is shown to yield a solution for the dispersion relation with a maximum relative error for the lowest branch of the function equal to one in 700 in the q interval zero to infinity.

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