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A class of solutions to the linearized shallow water equations is presented. The solutions involve two spatial dimensions plus time, and special emphasis is placed on the dynamic steady state. The results are intended for use in testing and verification of numerical models. The class of problems treated allows an independent assessment of the effects of wind stress, variable bathymetry, frictional dissipation, and nonrectangular boundaries on model performance.
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Lynch et al. (1978) studied this question.
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