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contributor authorWicker, Louis J.
contributor authorSkamarock, William C.
date accessioned2017-06-09T16:12:02Z
date available2017-06-09T16:12:02Z
date copyright1998/07/01
date issued1998
identifier issn0027-0644
identifier otherams-63153.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4204125
description abstractA forward-in-time splitting method for integrating the elastic equations is presented. A second-order Runge?Kutta time integrator (RK2) for the large-time-step integration is combined with the forward?backward scheme in a manner similar to the Klemp and Wilhelmson method. The new scheme produces fully second-order-accurate integrations for advection and gravity wave propagation. The RK2 scheme uses upwind discretizations for the advection terms and is easily combined with standard vertically semi-implicit techniques so as to improve computational efficiency when the grid aspect ratio becomes large. A stability analysis of the RK2 split-explicit scheme shows that it is stable for a wide range of advective and acoustic wave Courant numbers. The RK2 time-split scheme is used in a full-physics nonhydrostatic compressible cloud model. The implicit damping properties associated with the RK2?s third-order horizontal differencing allows for a significant reduction in the value of horizontal filtering applied to the momentum and pressure fields, while qualitatively the solutions appear to be better resolved than solutions from a leapfrog model.
publisherAmerican Meteorological Society
titleA Time-Splitting Scheme for the Elastic Equations Incorporating Second-Order Runge–Kutta Time Differencing
typeJournal Paper
journal volume126
journal issue7
journal titleMonthly Weather Review
identifier doi10.1175/1520-0493(1998)126<1992:ATSSFT>2.0.CO;2
journal fristpage1992
journal lastpage1999
treeMonthly Weather Review:;1998:;volume( 126 ):;issue: 007
contenttypeFulltext


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