Energy conserving Galerkin finite element schemes for the primitive equations of numerical weather prediction
type: Item
instance of: scholarly article
title: Energy conserving Galerkin finite element schemes for the primitive equations of numerical weather prediction
zbMATH Open document ID: 0607.76023
DOI: 10.1016/0021-9991(87)90166-5
author: J. Steppeler
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: This paper presents some energy conserving finite element schemes for the primitive meteorological equations. Schemes are formulated for the two- dimensional shallow water equations. All schemes presented can easily be generalized to energy conserving schemes of the sigma-system equations. One of the schemes requires a relation between the approximation spaces for pressure and temperature. Another scheme uses only linear elements for all fields, and therefore may be a good candidate for implementation in large models. Since the schemes use only general relations between the basis function spaces, the developments are valid for other Galerkin schemes, such as the spectral method or the parameter fluid models. Questions of practical implementation are discussed only for the use of linear finite elements for the velocity field.
Mathematics Subject Classification ID: 76B65
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 3982747
zbMATH Keywords: energy conserving finite element schemes
zbMATH Keywords: primitive meteorological equations
zbMATH Keywords: two-dimensional shallow water equations
zbMATH Keywords: sigma-system equations
zbMATH Keywords: approximation spaces
zbMATH Keywords: Galerkin schemes
zbMATH Keywords: spectral method
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90166-5
OpenAlex ID: W2089421603
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description: scientific article; zbMATH DE number 3982747