Alternative forms of enhanced Boussinesq equations with improved nonlinearity
type: Item
instance of: scholarly article
title: Alternative forms of enhanced Boussinesq equations with improved nonlinearity
zbMATH Open document ID: 1296.86003
DOI: 10.1155/2013/160749
author: Kezhao Fang
author: Zhongbo Liu
author: Qinqin Gui
author: Zhili Zou
author: Jiwei Yin
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 86-08
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6354445
Wikidata QID: Q59023076
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/160749
OpenAlex ID: W2012608492
cites work: Q3224058
cites work: Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
cites work: A two-layer approach to wave modelling
cites work: Dispersive Nonlinear Shallow-Water Equations
cites work: Dispersive nonlinear shallow-water equations: some preliminary numerical results
cites work: A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
cites work: A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)4
cites work: A new approach to high-order Boussinesq models
cites work: Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis
cites work: Boussinesq-type equations with improved nonlinear performance
cites work: A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: boundary conditions and validation
cites work: Boussinesq-type equations for nonlinear evolution of wave trains
cites work: A staggered-grid numerical algorithm for the extended Boussinesq equations
cites work: Evolution of a nonlinear wave field along a tank: Experiments and numerical simulations based on the spatial Zakhharov equation
cites work: On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
cites work: Resonant interactions between two trains of gravity waves
description: scientific article; zbMATH DE number 6354445