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dc.contributor.authorIvanov, Leonid M.
dc.contributor.authorKorzhova, Tatiana P.
dc.contributor.authorMargolina, Tatiana
dc.contributor.authorMelnichenko, Oleg V.
dc.contributor.authorChu, Peter C.
dc.date2003
dc.date.accessioned2013-09-11T23:03:04Z
dc.date.available2013-09-11T23:03:04Z
dc.date.issued2003
dc.identifier.citationChu, P.C., L.M. Ivanov, T.P. Korzhova, T.M. Margolina, and O.M. Melnichenko, 2003: Analysis of sparse and noisy ocean current data using flow decomposition (paper download). Part 1: Theory. Journal of Atmospheric and Oceanic Technology, American Meteorological Society, 20 (4), 478-491.
dc.identifier.urihttp://hdl.handle.net/10945/36158
dc.descriptionPart 1en_US
dc.description.abstractA new approach is developed to reconstruct a three-dimensional incompressible flow from noisy data in an open domain using a two-scalar (toroidal and poloidal) spectral representation. The results are presented in two parts: theory (first part) and application (second part). In Part I, this approach includes (a) a boundary extension method to determine normal and tangential velocities at an open boundary, (b) establishment of homogeneous open boundary conditions for the two potentials with a spatially varying coefficient k, (c) spectral expansion of k, (d) calculation of basis functions for each of the scalar potentials, and (e) determination of coefficients in the spectral decomposition of both velocity and k using linear or nonlinear regressions. The basis functions are the eigenfunctions of the Laplacian operator with homogeneous mixed boundary conditions and depend upon the spatially varying parameter k at the open boundary. A cost function used for poor data statistics is introduced to determine the optimal number of basis functions. An optimization scheme with iteration and regularization is proposed to obtain unique and stable solutions. In Part II, the capability of the method is demonstrated through reconstructing a 2D wind-driven circulation in a rotating channel, a baroclinic circulation in the eastern Black Sea, and a large-scale surface circulation in the Southern Ocean.en_US
dc.description.sponsorshipThis research was sponsored by the Office of Naval Research, Naval Oceanographic Office, and the Naval Postgraduate School. Leonid Ivanov, Tatyana Korzhova, Tatyana Margolina, and Oleg Melnichenko thank U.S. Civilian Research and Development Foundation for sup- port received through Award UG-2079.en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted.en_US
dc.titleAnalysis of sparse and noisy ocean current data using flow decomposition Part 1: Theoryen_US
dc.typeArticleen_US
dc.contributor.departmentOceanographyen_US


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