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Green's Function and tidal prediction
Author(s) -
Webb D. J.
Publication year - 1974
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg012i001p00103
Subject(s) - function (biology) , smoothness , green's function for the three variable laplace equation , laplace transform , expression (computer science) , simple (philosophy) , mathematics , laplace's equation , mathematical analysis , differential equation , computer science , inverse laplace transform , philosophy , epistemology , evolutionary biology , biology , programming language
This paper is concerned with applying Green's function techniques to the theory of the tides. It is shown that by making certain assumptions about the analytic properties of the tidal Green's function, one can obtain an expression for it in terms of the Siegert states of the ocean. A similar expression can also be obtained by assuming that Laplace's tidal equations adequately describe the tide. Relationships between the mathematics of the Green's function and the physics of the ocean are developed, and the Green's function is then used to formally solve the tidal equation. By making assumptions about the smoothness of a related quantity, the response function, one can obtain a simple equation for tidal prediction. The equation may be of some practical use, for example, in superseding the Admiralty method of tidal prediction.