Simplified higher-order Boussinesq equations

Improved Performance in Boussinesq-Type Equations

“…It also seems likely, although the mechanism is somewhat obscure, that improving mildly nonlinear superharmonic properties of fully-nonlinear Boussinesq equations in intermediate depths will also improve highly nonlinear properties in shallow depths. No technique for improving subharmonic accuracy was introduced here, although very recent work has revealed a technique which offers the capability to improve both superharmonic and subharmonic accuracy (Kennedy et al, 2000c).…”

“…Because of this complexity and length limitations, only the final results will be shown. For a more complete derivation, consult Kennedy et al (2000c).…”

Boussinesq Modeling of Waves in Harbors and Inlets

“…In addition, several enhancements to nonlinear properties in the model , Kennedy et al, 2001b are incorporated in the release. A review of the present state of the FUNWAVE model and the Boussinesq modelling technique in general is being prepared by Kirby (2002) for inclusion in the book Advances in Coastal Modeling by Lakhan (2002) and will provide a detailed overview of the results of this project.…”

Variational derivation of KdV-type models for surface water waves

“…Unidirectional motions can be interpreted as special solutions of the Boussinesq equation when the velocity variable is related to the surface elevation in a specific way so that the two dynamic equations become similar. In the literature many Boussinesq equations have been derived; see [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] for some of the most recent papers on the topic and the literature cited in these publications.…”