Alternative Forms of Enhanced Boussinesq Equations with Improved Nonlinearity

Kezhao Fang, Zhongbo Liu, Qinqin Gui, Zhili Zou and Jiwei Yin

Mathematical Problems in Engineering, 2013, vol. 2013, 1-11

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:160749

DOI: 10.1155/2013/160749

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