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Effects of using a posteriori methods for the conservation of integral invariantsThe nature and effect of using a posteriori adjustments to nonconservative finite-difference schemes to enforce integral invariants of the corresponding analytic system are examined. The method of a posteriori integral constraint restoration is analyzed for the case of linear advection, and the harmonic response associated with the a posteriori adjustments is examined in detail. The conservative properties of the shallow water system are reviewed, and the constraint restoration algorithm applied to the shallow water equations are described. A comparison is made between forecasts obtained using implicit and a posteriori methods for the conservation of mass, energy, and potential enstrophy in the complete nonlinear shallow-water system.
Document ID
19880050563
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Takacs, Lawrence L.
(NASA Goddard Space Flight Center; Sigma Data Services, Inc. Greenbelt, MD, United States)
Date Acquired
August 13, 2013
Publication Date
March 1, 1988
Publication Information
Publication: Monthly Weather Review
Volume: 116
ISSN: 0027-0644
Subject Category
Meteorology And Climatology
Accession Number
88A37790
Distribution Limits
Public
Copyright
Other

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