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Abstract: The nondivergent barotropic vorticity equation is integrated numerically in order to investigate a potential resonance mechanism for Rossby waves on a shear flow in the presence of a nonlinear critical layer. lie numerical ...

Abstract: Scale-dependent phase errors are characteristic of Eulerian advection schemes and can lead to significant erroneous dispersion, especially for features whose length scales are near the resolution limits of a numerical ...

Abstract: There are several reasons why it is desirable to eliminate the interpolation associated with the conventional semi-Larangian scheme. Interpolation leads to smoothing and is also the most costly operation associated with ...

Abstract: The treatment of advection is related to the stability, accuracy and efficiency of models used in numerical weather prediction. In order to remain stable, conventional Eulerian advection schemes must respect a Courant-Fr ...

Abstract: It is shown that potential vorticity, as usually defined for slow motions in shallow water, is conserved across a discontinuity in bottom slope if the total depth is continuous, but not across a discontinuity in the depth ...