ISSN: 0935-4964 (printed version)
ISSN: 1432-2250 (electronic version)
Volume 9 Issue 3/4 (1997) pp 281-292
B.T. Nadiga (1), M.W. Hecht (1), L.G. Margolin (1), P.K. Smolarkiewicz (2)
(1) Los Alamos National Laboratory, Los Alamos, NM 87545, U.S.A.
(2) National Center for Atmospheric Research, Boulder, CO 80307, U.S.A.
Received 25 September 1996 and accepted 11 April 1997
Abstract. We present a new method, based on averaging, to simulate certain systems with multiple time scales efficiently and demonstrate its utility in the context of the shallow-water equations. We first develop the method in a simple linear setting and analytically prove its stability. This is followed by an extension to the full equations and a presentation of a computational model for it. In this preliminary study, we find that the new method produces results that are very close to a fully explicit (spatially and temporally) second-order accurate scheme and much better than a fully explicit (spatially and temporally) first-order accurate scheme, while costing less than the first-order accurate scheme.
Communicated by H.J.S. Fernando
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