An explicit finite difference model for simulating weakly nonlinear and weakly dispersive waves over slowly varying water depth

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Title:	An explicit finite difference model for simulating weakly nonlinear and weakly dispersive waves over slowly varying water depth
Authors:	Wang,XM;Liu,PLF
Contributors:	水文與海洋科學研究所
Keywords:	INDIAN-OCEAN TSUNAMI;BOUSSINESQ EQUATIONS;MULTILAYER MODEL;DISTANT TSUNAMIS;PROPAGATION;RUNUP;EARTHQUAKE
Date:	2011
Issue Date:	2012-03-27 17:33:45 (UTC+8)
Publisher:	國立中央大學
Abstract:	In this paper, a modified leap-frog finite difference (FD) scheme is developed to solve Non linear Shallow Water Equations (NSWE). By adjusting the FD mesh system and modifying the leap-frog algorithm, numerical dispersion is manipulated to mimic physical frequency dispersion for water wave propagation. The resulting numerical scheme is suitable for weakly nonlinear and weakly dispersive waves propagating over a slowly varying water depth. Numerical studies demonstrate that the results of the new numerical scheme agree well with those obtained by directly solving Boussinesq-type models for both long distance propagation, shoaling and re-fraction over a slowly varying bathymetry. Most importantly, the new algorithm is much more computationally efficient than existing Boussinesq-type models, making it an excellent alternative tool for simulating tsunami waves when the frequency dispersion needs to be considered. (C) 2010 Elsevier B.V. All rights reserved.
Relation:	COASTAL ENGINEERING
Appears in Collections:	[Graduate Institute of Hydrological and Oceanic Sciences] journal & Dissertation

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