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contributor authorEvans, Katherine J.
contributor authorTaylor, Mark A.
contributor authorDrake, John B.
date accessioned2017-06-09T16:37:53Z
date available2017-06-09T16:37:53Z
date copyright2010/08/01
date issued2010
identifier issn0027-0644
identifier otherams-71276.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4213150
description abstractA fully implicit (FI) time integration method has been implemented into a spectral finite-element shallow-water equation model on a sphere, and it is compared to existing fully explicit leapfrog and semi-implicit methods for a suite of test cases. This experiment is designed to determine the time step sizes that minimize simulation time while maintaining sufficient accuracy for these problems. For test cases without an analytical solution from which to compare, it is demonstrated that time step sizes 30?60 times larger than the gravity wave stability limits and 6?20 times larger than the advective-scale stability limits are possible using the FI method without a loss in accuracy, depending on the problem being solved. For a steady-state test case, the FI method produces error within machine accuracy limits as with existing methods, but using an arbitrarily large time step size.
publisherAmerican Meteorological Society
titleAccuracy Analysis of a Spectral Element Atmospheric Model Using a Fully Implicit Solution Framework
typeJournal Paper
journal volume138
journal issue8
journal titleMonthly Weather Review
identifier doi10.1175/2010MWR3288.1
journal fristpage3333
journal lastpage3341
treeMonthly Weather Review:;2010:;volume( 138 ):;issue: 008
contenttypeFulltext


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