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Wind‐driven currents in a sea with a variable eddy viscosity calculated via a Sinc–Galerkin technique
Author(s) -
Winter D. F.,
Bowers Kenneth L.,
Lund John
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/1097-0363(20000815)33:7<1041::aid-fld42>3.0.co;2-p
Subject(s) - sinc function , galerkin method , basis function , turbulence modeling , exponential function , convergence (economics) , mathematics , mathematical analysis , mechanics , physics , turbulence , finite element method , thermodynamics , economics , economic growth
The Sinc–Galerkin method is presented as a new and potentially useful extension of the spectral method in numerical oceanography. To describe and illustrate the technique, a Sinc–Galerkin procedure is used to infer the sensitivity of wind‐driven sub‐surface currents in coastal regions and semi‐enclosed seas when the vertical eddy viscosity coefficient is represented as a continuously differentiable function of depth. Problems with exact solutions are used to explore the accuracy and exponential convergence of expansions using composite translated sinc functions as a basis set. To illustrate the essential idea, we describe applications of the Sinc–Galerkin technique to modifications of the Ekman wind‐drift current problem. Copyright © 2000 John Wiley & Sons, Ltd.