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SUMMARYThe concept of fully adaptive multiscale ÿnite volume methods has been developed to increase spatial resolution and to reduce computational costs of numerical simulations. Here grid adaptation is performed by means of a multiscale analysis based on biorthogonal wavelets. In order to update the solution in time we use a local time stepping strategy that has been recently developed for hyperbolic conservation laws.The adaptive multiresolution scheme is now applied to two-dimensional shallow water equations with source terms. The e ciency of the scheme is demonstrated on several problems with a general geometry, including circular damp breaks, oblique hydraulic jump, supercritical channel ows encountering sudden change in cross-section, and, ÿnally, the bore wave and its interactions.

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