Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet

Philippe Guyenne; Emilian Parau

Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet

Philippe Guyenne, Emilian Parau

Fluids & Structures

Research output: Contribution to conference › Paper › peer-review

8 Citations (Scopus)

Abstract

Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive waves with slower variation in the transverse direction. In the two-dimensional case, the model predictions are compared with direct numerical simulations of the full equations and a good agreement is found.

Original language	English
Pages	467-475
Number of pages	9
Publication status	Published - 2015
Event	Twenty-fifth International Ocean and Polar Engineering Conference - Hawaii, Kona, Big Island, United States Duration: 21 Jun 2015 → 26 Jun 2015

Conference

Conference	Twenty-fifth International Ocean and Polar Engineering Conference
Country/Territory	United States
City	Kona, Big Island
Period	21/06/15 → 26/06/15

Keywords

Boussinesq models
flexural-gravity waves
Hamiltonian systems
high-order spectral method
sea ice
solitary waves

Access to Document

http://www.math.udel.edu/~guyenne/publications/15TPC-0314Guyenne.pdf

Cite this

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title = "Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet",

abstract = "Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive waves with slower variation in the transverse direction. In the two-dimensional case, the model predictions are compared with direct numerical simulations of the full equations and a good agreement is found.",

keywords = "Boussinesq models, flexural-gravity waves, Hamiltonian systems, high-order spectral method, sea ice, solitary waves",

author = "Philippe Guyenne and Emilian Parau",

year = "2015",

language = "English",

pages = "467--475",

note = "Twenty-fifth International Ocean and Polar Engineering Conference ; Conference date: 21-06-2015 Through 26-06-2015",

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TY - CONF

T1 - Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet

AU - Guyenne, Philippe

AU - Parau, Emilian

PY - 2015

Y1 - 2015

N2 - Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive waves with slower variation in the transverse direction. In the two-dimensional case, the model predictions are compared with direct numerical simulations of the full equations and a good agreement is found.

AB - Nonlinear flexural-gravity waves beneath a continuous ice sheet are considered. A Hamiltonian formulation of the governing equations is presented in the general three-dimensional setting. It is used to investigate the long-wave regime and derive an asymptotic model for weakly nonlinear dispersive waves with slower variation in the transverse direction. In the two-dimensional case, the model predictions are compared with direct numerical simulations of the full equations and a good agreement is found.

KW - Boussinesq models

KW - flexural-gravity waves

KW - Hamiltonian systems

KW - high-order spectral method

KW - sea ice

KW - solitary waves

M3 - Paper

SP - 467

EP - 475

T2 - Twenty-fifth International Ocean and Polar Engineering Conference

Y2 - 21 June 2015 through 26 June 2015

ER -