Simplified derivation of an algorithm for nonlinear gravity waves

Details Simplified derivation of an algorithm for nonlinear gravity waves Simplified derivation of an algorithm for nonlinear gravity waves

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jgr....89..345w&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 89, Jan. 1, 1984, p. 345-350.

Physics

Geophysics

9

Algorithms, Geophysics, Gravity Waves, Wave Dispersion, Integral Equations, Linear Equations, Nonlinear Equations

Scientific paper

The conversion of the linear dispersion relation for gravity waves into a nonlinear dispersion relation through a replacement, is given a simplified proof. This derivation differs from a previous one in its brevity and relative simplicity, obviating familarity with the statistical theory of strong nonlinear interactions and revealing more explicitly the underlying assumptions and approximations. A space-time average is used rather than an ensemble average, and the theory is no longer restricted to randomly phased waves. The physical significance of the nonlinear damping rate explicitly determined by the rms wave velocity is elucidated, and related to recent experimental observations.

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