A conservative adaptive wavelet method for the shallow‐water equations on the sphere

Abstract

We introduce an innovative wavelet‐based approach to adjust local grid resolution dynamically to maintain a uniform specified error tolerance. Extending the work of Dubos and Kevlahan, a wavelet multiscale approximation is used to make the Thuburn‐Ringler‐Skamarock‐Klemp (TRiSK) model dynamically adaptive for the rotating shallow‐water equations on the sphere. This article focuses on the challenges encountered when extending the adaptive …