A Generalized Class of Exact Time-Dependent Solutions of the Vorticity Equation for Nondivergent Barotropic Flow

Philip D. Thompson National Center for Atmospheric Research, Boulder, CO 80307

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Abstract

This note deals with a new class of solutions of the nondivergent barotropic vorticity equation. In general, these solutions require a complete representation in spherical harmonics and are therefore good comparison solutions for testing the accuracy of spectral methods of numerical integration.

Abstract

This note deals with a new class of solutions of the nondivergent barotropic vorticity equation. In general, these solutions require a complete representation in spherical harmonics and are therefore good comparison solutions for testing the accuracy of spectral methods of numerical integration.

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