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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/50496

    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
    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.
    Appears in Collections:[水文與海洋科學研究所] 期刊論文

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