alternative forms of enhanced boussinesq equations with improved nonlinearity

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ID: 148593
2013
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Abstract
We propose alternative forms of the Boussinesq equations which extend the equations of Madsen and Schäffer by introducing extra nonlinear terms during enhancement. Theoretical analysis shows that nonlinear characteristics are considerably improved. A numerical implementation of one-dimensional equations is described. Three tests involving strongly nonlinear evolution, namely, regular waves propagating over an elevated bar feature in a tank with an otherwise constant depth, wave group transformation over constant water depth, and nonlinear shoaling of unsteady waves over a sloping beach, are simulated by the model. The model is found to be effective.
Reference Key
fang2013mathematicalalternative Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Kezhao Fang;Zhongbo Liu;Qinqin Gui;Zhili Zou;Jiwei Yin
Journal journal of power sources
Year 2013
DOI
10.1155/2013/160749
URL
http://dx.doi.org/10.1155/2013/160749
Keywords
civil engineering (general)mathematics engineering (general)

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