Open AccessAnalysis of a regularized, time‐staggered discretization applied to a vertical slice model
Author(s) -
Dubal Mark,
Staniforth Andrew,
Wood Nigel,
Reich Sebastian
Publication year - 2006
Publication title -
atmospheric science letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.951
H-Index - 45
ISSN - 1530-261X
DOI - 10.1002/asl.137
Subject(s) - discretization , hydrostatic equilibrium , regularization (linguistics) , discretization error , mathematics , permission , stability (learning theory) , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence , machine learning , political science , law
A regularized and time‐staggered discretization of the two‐dimensional, vertical slice Euler equation set is described and analysed. A linear normal mode analysis of the time‐discrete system indicates that unconditional stability is obtained, for appropriate values of the regularization parameters, for both the hydrostatic and non‐hydrostatic cases. Furthermore, when these parameters take their optimal values, the stability behaviour of the normal modes is identical to that obtained from a semi‐implicit discretization of the unregularized equations. © Crown Copyright 2006. Reproduced with the permission of the Controller of HMSO. Published by John Wiley & Sons, Ltd.