Energy‐ and enstrophy‐conserving schemes for the shallow‐water equations, based on mimetic finite elements

Andrew T. T. McRae, Colin J. Cotter

Type: Article

Publication Date: 2013-11-08

Citations: 37

DOI: https://doi.org/10.1002/qj.2291

Abstract

This paper presents a family of spatial discretisations of the nonlinear rotating shallow-water equations that conserve both energy and potential enstrophy. These are based on two-dimensional mixed finite element methods and hence, unlike some finite difference methods, do not require an orthogonal grid. Numerical verification of the aforementioned properties is also provided.

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arXiv (Cornell University) - View - PDF
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Quarterly Journal of the Royal Meteorological Society - View

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