Instability in Leapfrog and Forward-Backward Schemes

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题名:	Instability in Leapfrog and Forward-Backward Schemes
作者:	Sun,WY
贡献者:	大氣物理研究所
关键词:	INTERNAL GRAVITY-WAVES
日期:	2010
上传时间:	2012-03-27 17:29:27 (UTC+8)
出版者:	國立中央大學
摘要:	This paper shows that in the linearized shallow-water equations, the numerical schemes can become weakly unstable for the 2 Delta x wave in the C grid when the Courant number is 1 in the forward-backward scheme and 0.5 in the leapfrog scheme because of the repeated eigenvalues in the matrices. The instability can be amplified and spread to other waves and smaller Courant number if the diffusion term is included. However, Shuman smoothing can control the instability.
關聯:	MONTHLY WEATHER REVIEW
显示于类别:	[大氣物理研究所 ] 期刊論文

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