Variational Boussinesq model for strongly nonlinear dispersive waves

C. Lawrence; D. Adytia; E. van Groesen

doi:10.1016/j.wavemoti.2017.10.009

Variational Boussinesq model for strongly nonlinear dispersive waves

C. Lawrence^* (Corresponding Author), D. Adytia, E. van Groesen

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

13 Citations (Scopus)

Abstract

For wave tank, coastal and oceanic applications, a fully nonlinear Variational Boussinesq model with optimized dispersion is derived and a simple Finite Element implementation is described. Improving a previous weakly nonlinear version, high waves over flat and varying bottom are shown to be simulated with high accuracy for a number of different cases consisting of solitary wave propagation, a focused wave above flat bottom, irregular waves over deep water, waves over a submerged bar with steep slopes (up to 1:2) and waves over shoals.

Original language	English
Pages (from-to)	78-102
Number of pages	25
Journal	Wave motion
Volume	76
Early online date	3 Nov 2017
DOIs	https://doi.org/10.1016/j.wavemoti.2017.10.009
Publication status	Published - 1 Jan 2018

Keywords

Surface waves
Variational Boussinesq model
Finite element
n/a OA procedure

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10.1016/j.wavemoti.2017.10.009

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abstract = "For wave tank, coastal and oceanic applications, a fully nonlinear Variational Boussinesq model with optimized dispersion is derived and a simple Finite Element implementation is described. Improving a previous weakly nonlinear version, high waves over flat and varying bottom are shown to be simulated with high accuracy for a number of different cases consisting of solitary wave propagation, a focused wave above flat bottom, irregular waves over deep water, waves over a submerged bar with steep slopes (up to 1:2) and waves over shoals.",

keywords = "Surface waves, Variational Boussinesq model, Finite element, n/a OA procedure",

author = "C. Lawrence and D. Adytia and {van Groesen}, E.",

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AU - Adytia, D.

AU - van Groesen, E.

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N2 - For wave tank, coastal and oceanic applications, a fully nonlinear Variational Boussinesq model with optimized dispersion is derived and a simple Finite Element implementation is described. Improving a previous weakly nonlinear version, high waves over flat and varying bottom are shown to be simulated with high accuracy for a number of different cases consisting of solitary wave propagation, a focused wave above flat bottom, irregular waves over deep water, waves over a submerged bar with steep slopes (up to 1:2) and waves over shoals.

AB - For wave tank, coastal and oceanic applications, a fully nonlinear Variational Boussinesq model with optimized dispersion is derived and a simple Finite Element implementation is described. Improving a previous weakly nonlinear version, high waves over flat and varying bottom are shown to be simulated with high accuracy for a number of different cases consisting of solitary wave propagation, a focused wave above flat bottom, irregular waves over deep water, waves over a submerged bar with steep slopes (up to 1:2) and waves over shoals.

KW - Surface waves

KW - Variational Boussinesq model

KW - Finite element

KW - n/a OA procedure

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DO - 10.1016/j.wavemoti.2017.10.009

M3 - Article

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SN - 0165-2125

VL - 76

SP - 78

EP - 102

JO - Wave motion

JF - Wave motion

ER -

Variational Boussinesq model for strongly nonlinear dispersive waves

Abstract

Keywords

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