Document Type

Article

Publication Date

12-1-1997

Department

Marine Science

Abstract

A data assimilation approach to specify open boundary conditions is proposed. The boundary values are determined from the solution of the special optimization problem: minimization of the difference between the model and reference boundary values under the integral constraints on the open boundary. These constraints represent the energy, momentum, and mass fluxes through the open boundary. Reference values represent the a priori knowledge about the boundary values. They might be derived from observations, results of another model run, or from another approach to the specification of open boundary conditions. Optimized open boundary conditions are presented in detail for the barotropic case and when only one integral constraint is considered: energy Aux through the open boundary. It is shown that well-known radiation-type boundary conditions introduced by Reid and Bodine, and Flather, are special cases of the derived optimized conditions. The results of application of the proposed boundary conditions are demonstrated in the modeling of tidal and wind-driven circulation for a channel and for the northern part of the Adriatic Sea. The results of studies of the model predictions' sensitivity to errors in the reference values used in the boundary conditions are presented. The applications of optimized open boundary conditions show a significant reduction in errors when compared to the commonly used, nonoptimized schemes.

Comments

Publisher Version

© Copyright 1997 American Meteorological Society (AMS). Permission to use figures, tables, and brief excerpts from this work in scientific and educational works is hereby granted provided that the source is acknowledged. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act or that satisfies the conditions specified in Section 108 of the U.S. Copyright Act (17 USC §108) does not require the AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, requires written permission or a license from the AMS. All AMS journals and monograph publications are registered with the Copyright Clearance Center (http://www.copyright.com). Questions about permission to use materials for which AMS holds the copyright can also be directed to the AMS Permissions Officer at permissions@ametsoc.org. Additional details are provided in the AMS Copyright Policy statement, available on the AMS website (http://www.ametsoc.org/CopyrightInformation).

Publication Title

Journal of Atmospheric and Oceanic Technology

Volume

14

Issue

6

First Page

1409

Last Page

1419

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