A modified leapfrog scheme for shallow water equations

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Title:	A modified leapfrog scheme for shallow water equations
Authors:	Sun,WY;Sun,OMT
Contributors:	大氣物理研究所
Keywords:	LAGRANGIAN ADVECTION SCHEME
Date:	2011
Issue Date:	2012-03-27 17:29:48 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	COMPUTERS & FLUIDS
Appears in Collections:	[Department of Atmospheric Sciences and Graduate Institute of Atmospheric Physics ] journal & Dissertation

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