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Resonant and nonresonant motion in a spindle‐shaped basin with an entrance
Author(s) -
Thomas N. D.,
Clarke D. J.
Publication year - 1974
Publication title -
limnology and oceanography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.7
H-Index - 197
eISSN - 1939-5590
pISSN - 0024-3590
DOI - 10.4319/lo.1974.19.2.0199
Subject(s) - structural basin , square (algebra) , boundary (topology) , intersection (aeronautics) , physics , galerkin method , geometry , action (physics) , boundary value problem , geology , mechanics , classical mechanics , optics , mathematical analysis , mathematics , engineering , geomorphology , finite element method , quantum mechanics , aerospace engineering , thermodynamics
Resonant and nonresonant motions in a spindle‐shaped (i.e. formed by the intersection of two confocal parabolae) basin are examined when the assumption is made that they are caused by the formation of a standing wave due to incident wave action through the entrance. The spindle basin is transformed into a square region with two entrances and the modified boundary value problem is solved approximately by the Galerkin method. The trial functions are chosen to satisfy the boundary conditions across the entrances in the square region. The amplification of the incident waves is calculated for the internal points of the spindle basin at various frequencies and those frequencies causing large amplifications are found. The results are applied to Port Kembla Outer Harbor.