Accuracy and stability of the discretised isopycnal-mixing equation

Citation
Pp. Mathieu et E. Deleersnijder, Accuracy and stability of the discretised isopycnal-mixing equation, APPL MATH L, 12(4), 1999, pp. 81-88
Citations number
8
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
4
Year of publication
1999
Pages
81 - 88
Database
ISI
SICI code
0893-9659(199905)12:4<81:AASOTD>2.0.ZU;2-V
Abstract
Coarse-grid ocean models parameterise the effects of mesoscale eddies by me ans of a mixing operator which diffuses tracers along surfaces of constant potential density, called isopycnals. We establish the consistency conditio ns, the spatio-temporal accuracy error and the computational stability cond itions for the small-slope isopycnal mixing operator. (C) 1999 Elsevier Sci ence Ltd. All rights reserved.