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The effects of the Asselin time filter on numerical solutions to the linearized shallow-water wave equationsIn the present investigation, a one-dimensional linearized analysis is used to determine the effect of Asselin's (1972) time filter on both the computational stability and phase error of numerical solutions for the shallow water wave equations, in cases with diffusion but without rotation. An attempt has been made to establish the approximate optimal values of the filtering parameter nu for each of the 'lagged', Dufort-Frankel, and Crank-Nicholson diffusion schemes, suppressing the computational wave mode without materially altering the physical wave mode. It is determined that in the presence of diffusion, the optimum filter length depends on whether waves are undergoing significant propagation. When moderate propagation is present, with or without diffusion, the Asselin filter has little effect on the spatial phase lag of the physical mode for the leapfrog advection scheme of the three diffusion schemes considered.
Document ID
19830052662
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schlesinger, R. E.
(Wisconsin Univ. Madison, WI, United States)
Johnson, D. R.
(Wisconsin, University Madison, WI, United States)
Uccellini, L. W.
(NASA Goddard Space Flight Center Laboratory for Atmospheric Sciences, Greenbelt, MD, United States)
Date Acquired
August 11, 2013
Publication Date
March 1, 1983
Publication Information
Publication: Monthly Weather Review
Volume: 111
ISSN: 0027-0644
Subject Category
Meteorology And Climatology
Accession Number
83A33880
Funding Number(s)
CONTRACT_GRANT: NSF ATM-77-22976
CONTRACT_GRANT: NAS8-33222
CONTRACT_GRANT: NSF ATM-75-23223
Distribution Limits
Public
Copyright
Other

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