Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.apm.2005.11.012
Title: A staggered-grid numerical algorithm for the extended Boussinesq equations
Authors: Lin, P. 
Man, C.
Keywords: Boussinesq equations
Conservative form
Predictor-corrector method
Staggered-grid
Wave simulation
Issue Date: Feb-2007
Source: Lin, P., Man, C. (2007-02). A staggered-grid numerical algorithm for the extended Boussinesq equations. Applied Mathematical Modelling 31 (2) : 349-368. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apm.2005.11.012
Abstract: A second-order accurate numerical scheme is developed to solve Nwogu's extended Boussinesq equations. A staggered-grid system is introduced with the first-order spatial derivatives being discretized by the fourth-order accurate finite-difference scheme. For the time derivatives, the fourth-order accurate Adams predictor-corrector method is used. The numerical method is validated against available analytical solutions, other numerical results of Navier-Stokes equations, and experimental data for both 1D and 2D nonlinear wave transformation problems. It is shown that the new algorithm has very good conservative characteristics for mass calculation. As a result, the model can provide accurate and stable results for long-term simulation. The model has proven to be a useful modeling tool for a wide range of water wave problems. © 2005 Elsevier Inc. All rights reserved.
Source Title: Applied Mathematical Modelling
URI: http://scholarbank.nus.edu.sg/handle/10635/65069
ISSN: 0307904X
DOI: 10.1016/j.apm.2005.11.012
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