A modified leapfrog scheme for shallow water equations

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题名:	A modified leapfrog scheme for shallow water equations
作者:	Sun,WY;Sun,OMT
贡献者:	大氣物理研究所
关键词:	LAGRANGIAN ADVECTION SCHEME
日期:	2011
上传时间:	2012-03-27 17:29:48 (UTC+8)
出版者:	國立中央大學
摘要:	In the 1D linearized shallow water equations, the Courant number should be <0.5 for stability in the original Leapfrog (LF) scheme. Here, we propose using the time-averaged height in the pressure gradient force in the momentum equations. The stability analysis shows that the new scheme is neutral when Courant number <1. The scheme is 2nd order accurate in both time and space. It does not require iterations and can be easily applied in 2D or 3D wave equations. The numerical simulations for 2-D linearized shallow water equations are consistent with those obtained from a 2-time-step semi-implicit scheme. The time filter can also be easily applied to this modified LF scheme. (C) 2011 Elsevier Ltd. All rights reserved.
關聯:	COMPUTERS & FLUIDS
显示于类别:	[大氣物理研究所 ] 期刊論文

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