contributor author | Wicker, Louis J. | |
contributor author | Skamarock, William C. | |
date accessioned | 2017-06-09T16:12:02Z | |
date available | 2017-06-09T16:12:02Z | |
date copyright | 1998/07/01 | |
date issued | 1998 | |
identifier issn | 0027-0644 | |
identifier other | ams-63153.pdf | |
identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4204125 | |
description abstract | A 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. | |
publisher | American Meteorological Society | |
title | A Time-Splitting Scheme for the Elastic Equations Incorporating Second-Order Runge–Kutta Time Differencing | |
type | Journal Paper | |
journal volume | 126 | |
journal issue | 7 | |
journal title | Monthly Weather Review | |
identifier doi | 10.1175/1520-0493(1998)126<1992:ATSSFT>2.0.CO;2 | |
journal fristpage | 1992 | |
journal lastpage | 1999 | |
tree | Monthly Weather Review:;1998:;volume( 126 ):;issue: 007 | |
contenttype | Fulltext | |