Open AccessOn “A Consistent Theory for Linear Waves of the Shallow-Water Equations on a Rotating Plane in Midlatitudes”
Author(s) -
Francis Poulin,
Kristopher Rowe
Publication year - 2008
Publication title -
journal of physical oceanography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.706
H-Index - 143
eISSN - 1520-0485
pISSN - 0022-3670
DOI - 10.1175/2007jpo3932.1
Subject(s) - rossby wave , kelvin wave , inertial wave , equatorial waves , rossby number , physics , waves and shallow water , gravitational wave , shallow water equations , plane (geometry) , gravity wave , dispersion (optics) , classical mechanics , kondratiev wave , mechanics , rossby radius of deformation , eigenvalues and eigenvectors , middle latitudes , mathematical analysis , geology , mathematics , geodesy , wave propagation , meteorology , geometry , mechanical wave , longitudinal wave , turbulence , latitude , optics , atmospheric sciences , quantum mechanics , equator , thermodynamics , astrophysics
Recently, Paldor et al. provided a consistent and unified theory for Kelvin, Poincaré (inertial–gravity), and Rossby waves in the rotating shallow-water equations (SWE). Unfortunately, the article has some errors, and the effort is made to correct them in this note. Also, the eigenvalue problem is rewritten in a dimensional form and then nondimensionalized in terms of more traditional nondimensional parameters and compared to the dispersion relations of the old and new theories. The errors in Paldor et al. are only quantitative in nature and do not alter their major results: Rossby waves can have larger phase speeds than what is predicted from the classical theory, and Rossby and Poincaré waves can be trapped near the equatorward boundary.