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An internal symmetric computational instability
Author(s) -
Hollingsworth A.,
Kållberg P.,
Renner V.,
Burridge D. M.
Publication year - 1983
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49710946012
Subject(s) - instability , enstrophy , physics , momentum (technical analysis) , internal energy , mechanics , classical mechanics , mathematics , thermodynamics , economics , vorticity , finance , vortex
A rapidly growing instability in energy‐enstrophy conserving finite difference forms of the primitive equations is described. The instability is unusual in that it is purely internal. It arises because the linearized forms of the equations do not conserve momentum. The modifications necessary to control the instability are discussed.