Abstract
Abstract As atmospheric models are pushed towards non-hydrostatic resolutions, there is a growing need for new numerical discretizations that are accurate, robust and effective at these scales. In this paper we describe a new arbitrary-order staggered nodal finite-element method (SNFEM) vertical discretization motivated by flux reconstruction methods. The SNFEM formulation generalizes traditional second-order vertical discretizations, including Lorenz and Charney-Phillips discretizations, to arbitrary order-of-accuracy while preserving desirable properties such as energy conservation. Preliminary results are presented from applying this method to an idealized global baroclinic instability.
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