Abstract
The Sea Lake and Overland Surges from Hurricanes (SLOSH) model predicts hurricane storm surge. SLOSH performs calculations on an Arakawa B-grid and applied a “del-plus” Laplacian filter on the water surface elevation. The result was a vulnerability to numerical instabilities generated by the discretization of gravity waves on a B-grid known as checkerboarding. SLOSH has attempted to control checkerboarding by reducing the time step and adjusting the frequency of calls to the filter, however, as SLOSH grids have become more refined, checkerboarding has become more problematic. Atmospheric model developers have ameliorated checkerboarding by introducing a “del-cross” Laplacian filter. Based on the work of Killworth et al. (1991), we have modified SLOSH to use a weighted difference of the del-plus and del-cross Laplacians in a manner consistent with atmospheric models. This allows SLOSH to be run on higher-resolution grids, while retaining its computational efficiency, which is crucial to storm surge forecasting.
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