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contributor authorCôté, Jean
contributor authorGravel, Sylvie
contributor authorStaniforth, Andrew
date accessioned2017-06-09T16:10:36Z
date available2017-06-09T16:10:36Z
date copyright1995/12/01
date issued1995
identifier issn0027-0644
identifier otherams-62651.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4203566
description abstractThe one-parameter three-time-level family of O(?t2)-accurate schemes, introduced in Rivest et al. to address the problem of the spurious resonant response of semi-implicit semi-Lagrangian schemes at large Courant number, has been generalized to a two-parameter family by introducing the possibility of evaluating total derivatives using an additional time level. The merits of different members of this family based on both theory and results are assessed. The additional degree of freedom might be expected a priori to permit a reduction of the time truncation errors while still maintaining stability and avoiding spurious resonance. Resonance, stability, and truncation error analyses for the proposed generalized family of schemes are given. The subfamily that is formally O(?t3)-accurate is unfortunately unstable for gravity modes. Sample integrations for various members of the generalized family are shown. Results are consistent with theory, and stable nonresonant forecasts at large Courant number are possible for a range of values of the two free parameters. Of the two methods proposed in Rivest et al. for computing trajectories, the one using a piecewise-defined trajectory is to be preferred to that using a single great-circle arc since it is more accurate at a large time step for some members of the generalized family.
publisherAmerican Meteorological Society
titleA Generalized Family of Schemes that Eliminate the Spurious Resonant Response of Semi-Lagrangian Schemes to Orographic Forcing
typeJournal Paper
journal volume123
journal issue12
journal titleMonthly Weather Review
identifier doi10.1175/1520-0493(1995)123<3605:AGFOST>2.0.CO;2
journal fristpage3605
journal lastpage3613
treeMonthly Weather Review:;1995:;volume( 123 ):;issue: 012
contenttypeFulltext


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