Anisotropic Optimization of the Current Field
with the Variational Method

G. G. Panteleev^{1, 2}, N. A. Maksimenko^{1, 3}, B. deYoung², C. Reiss⁴, and T. Yamagata⁵

¹ Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia
²Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John’s, Canada

³International Pacific Research Center, Honolulu, United States of America

⁴Dalhousy University, Halifax, Canada
⁵ University of Tokyo, Tokyo, Japan

Received January 18, 1999

Abstract—An anisotropic variational method for horizontal velocity field interpolation is suggested, which
differs from the previous methods by additional minimization of nonlinear terms in the equation of the momen-
tum balance that appeared efficient in distinguishing narrow jet streams. The method is applied to two regions
of the World Ocean (the Northwest Pacific and the Nova Scotia shelf), characterized by different scales, phys-
ical processes, and data available (Lagrangian drifters and hydrographic survey, respectively). The solutions
obtained were compared with the fields calculated using the method of optimal interpolation.

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