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A new form of the Boussinesq equations with improved linear dispersion characteristics
Abstract A new form of the Boussinesq equations is introduced in order to improve their dispersion characteristics. It is demonstrated that the depth-limitation of the new equations is much less restrictive than for the classical forms of the Boussinesq equations, and it is now possible to simulate the propagation of irregular wave trains travelling from deep water to shallow water. In deep water, the new equations become effectively linear and phase celerities agree with Stokes first-order theory. In more shallow water, the new equations converge towards the standard Boussinesq equations, which are known to provide good results for waves up to at least 75% of their breaking height. A numerical method for solving the new set of equations in two horizontal dimensions is presented. This method is based on a time-centered implicit finite-difference scheme. Finally, model results for wave propagation and diffraction in relatively deep water are presented.
A new form of the Boussinesq equations with improved linear dispersion characteristics
Abstract A new form of the Boussinesq equations is introduced in order to improve their dispersion characteristics. It is demonstrated that the depth-limitation of the new equations is much less restrictive than for the classical forms of the Boussinesq equations, and it is now possible to simulate the propagation of irregular wave trains travelling from deep water to shallow water. In deep water, the new equations become effectively linear and phase celerities agree with Stokes first-order theory. In more shallow water, the new equations converge towards the standard Boussinesq equations, which are known to provide good results for waves up to at least 75% of their breaking height. A numerical method for solving the new set of equations in two horizontal dimensions is presented. This method is based on a time-centered implicit finite-difference scheme. Finally, model results for wave propagation and diffraction in relatively deep water are presented.
A new form of the Boussinesq equations with improved linear dispersion characteristics
Madsen, Per A. (Autor:in) / Murray, Russel (Autor:in) / Sørensen, Ole R. (Autor:in)
Coastal Engineering ; 15 ; 371-388
04.12.1990
18 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Boussinesq- and Serre-type models with improved linear dispersion characteristics: applications
| Online Contents | 2015
Boussinesq and Serre type models with improved linear dispersion characteristics: Applications
| Taylor & Francis Verlag | 2013
Boussinesq and Serre type models with improved linear dispersion characteristics: Applications
| British Library Online Contents | 2013
“Boussinesq- and Serre-type models with improved linear dispersion characteristics: applications”
| Taylor & Francis Verlag | 2015