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A potential enstrophy and energy conserving scheme for the shallow water equationsTo improve the simulation of nonlinear aspects of the flow over steep topography, a potential enstrophy and energy conserving scheme for the shallow water equations is derived. It is pointed out that a family of schemes can conserve total energy for general flow and potential enstrophy for flow with no mass flux divergence. The newly derived scheme is a unique member of this family, that conserves both potential enstrophy and energy for general flow. Comparison by means of numerical experiment with a scheme that conserves (potential) enstrophy for purely horizontal nondivergent flow demonstrated the considerable superiority of the newly derived potential enstrophy and energy conserving scheme, not only in suppressing a spurious energy cascade but also in determining the overall flow regime. The potential enstrophy and energy conserving scheme for a spherical grid is also presented.
Document ID
19810042058
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Arakawa, A.
(California Univ. Los Angeles, CA, United States)
Lamb, V. R.
(California, University Los Angeles, Calif., United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1981
Publication Information
Publication: Monthly Weather Review
Volume: 109
Subject Category
Geophysics
Accession Number
81A26462
Funding Number(s)
CONTRACT_GRANT: N00014-78-C-0103
CONTRACT_GRANT: NGR-05-007-328
CONTRACT_GRANT: NSF ATM-78-01922
CONTRACT_GRANT: EPA-R-805595-010
Distribution Limits
Public
Copyright
Other

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