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On the implementation of passive open boundary conditions for a general circulation model : the barotropic mode

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Title On the implementation of passive open boundary conditions for a general circulation model : the barotropic mode
Names Palma, Elbio D. (creator)
Matano, Ricardo P. (creator)
Date Issued 1998-01-15 (iso8601)
Note copyrighted by American Geophysical Union
Abstract The objective of this study is to evaluate the performance of several
open boundary conditions applied to the Princeton ocean model. The focus is on
passive open boundary conditions applied to the external mode, i.e., conditions that
are applied when the mean flow at the open boundary is unknown and the values
of the variables must be assumed or extrapolated from the interior solution. Three
types of open boundary conditions (OBCs) are tested: (1) radiation conditions,
(2) characteristic methods, (3) relaxation schemes. Numerical experiments are
conducted in a zonal channel that include different forms of bottom topography.
The experiments are designed to emphasize flow conditions dominated by direct
wind forcing or wave radiation. Three sets of experiments are discussed: (1) forcing
by a uniform, alongshelf wind stress; (2) the barotropic adjustment of an initial
perturbation in the sea surface elevation; and (3) forcing by a traveling storm. The
results of these experiments are compared with analytical solutions and the results
of experiments using cyclic boundary conditions, or expanded domains. According
to our results all radiation schemes of Orlanski's type perform poorly in either flows
with strong nonlinear components or when the model response is dominated by the
propagation of dispersive wave packets. The characteristic method recommended
by Roed and Cooper [1987] provided reasonable responses in most cases, but we
found problems in handling dispersive waves or variable wind forcing at the open
boundaries. Although there were limitations in all the OBCs that we tested the best
overall performances were for the conditions proposed by Flather [1976], combined
with a local solution approach proposed by Roed and Smesdtad [1984], and the flow
relaxation scheme developed by Martinsen and Engedahi [1987].
Genre Article
Identifier Matano, R. P., Palma, E. D., On the implementation of passive open boundary conditions for a general circulation model : the barotropic mode, J. Geophys. Res., 103, C1.

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