Adaptive Grid Refinement for Numerical Weather Prediction,
STANFORD UNIV CA CENTER FOR LARGE SCALE SCIENTIFIC COMPUTATION
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An adaptive atmospheric flow model is described and results of integrations with this model are presented. The adaptive technique employed is that of Berger and Oliger. The technique uses a finite difference method to integrate the dynamical equations first on a cargo grid and then on finer grids which have been placed based on a Richardson type estimate of the truncation error in the coarse grid solution. By correctly coupling the integrations on the various grids, periodically reestimating the error nad recreating the finer grids, uniformly accurate solutions are economically producted. The primitive hydrostatic equations of meteorology are solved for the advection of a barotropic cyclone and for the development of a baroclinic disturbance which results from the perturbation of an unstable jet. These integrations demonstrate the feasibility of using multiple, rotated, overlapping fine grids. Direct computations of the truncation error are used to confirm the accuracy of the Richardson type truncation error estimates.