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Analysis of a regularized, time-staggered discretization method and its link to the semi-implicit method

✍ Scribed by J. Frank; S. Reich; A. Staniforth; A. White; N. Wood

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
125 KB
Volume
6
Category
Article
ISSN
1530-261X

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✦ Synopsis

Abstract

A key aspect of the recently proposed Hamiltonian particle‐mesh (HPM) method is its time‐staggered discretization combined with a regularization of the continuous governing equations. In this article, the time discretization aspect of the HPM method is analysed for the linearized, rotating, shallow‐water equations with orography, and the combined effect of time‐staggering and regularization is compared analytically with the popular two‐time‐level semi‐implicit time discretization of the unregularized equations. It is found that the two approaches are essentially equivalent, provided the regularization parameter is chosen appropriately in terms of the time step Δ__t__. The article treats space as a continuum and, hence, its analysis is not limited to the HPM method. Copyright © 2005 Royal Meteorological Society

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