A Hamiltonian formulation for nonlinear wave-body interactions

E.F.G. van Daalen; E. van Groesen; P.J. Zandbergen

A Hamiltonian formulation for nonlinear wave-body interactions

E.F.G. van Daalen
, E. van Groesen
, P.J. Zandbergen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

Here we show that gravity driven water waves - on a fluid of arbitrary variable depth - interacting with rigid bodies floating freely in or below the free surface can be described as an infinite-dimensional Hamiltonian system. It will appear that, with appropriate choices for the canonical variables and the Hamiltonian, the complete set of equations of motion - i.e. the nonlinear free surface conditions and the hydrodynamic equations of motion for the rigid bodies - can be written in a canonical form.

Original language	English
Title of host publication	8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993
Place of Publication	St John's
Number of pages	5
Publication status	Published - 23 May 1993
Event	8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993 - St John's, Canada Duration: 23 May 1993 → 26 May 1993 Conference number: 8 http://www.iwwwfb.org/Workshops/08.htm

Workshop

Workshop	8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993
Abbreviated title	IWWWFB
Country/Territory	Canada
City	St John's
Period	23/05/93 → 26/05/93
Internet address	http://www.iwwwfb.org/Workshops/08.htm

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title = "A Hamiltonian formulation for nonlinear wave-body interactions",

abstract = "Here we show that gravity driven water waves - on a fluid of arbitrary variable depth - interacting with rigid bodies floating freely in or below the free surface can be described as an infinite-dimensional Hamiltonian system. It will appear that, with appropriate choices for the canonical variables and the Hamiltonian, the complete set of equations of motion - i.e. the nonlinear free surface conditions and the hydrodynamic equations of motion for the rigid bodies - can be written in a canonical form. ",

author = "\{van Daalen\}, E.F.G. and \{van Groesen\}, E. and P.J. Zandbergen",

year = "1993",

month = may,

day = "23",

language = "English",

booktitle = "8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993",

note = "8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993, IWWWFB ; Conference date: 23-05-1993 Through 26-05-1993",

url = "http://www.iwwwfb.org/Workshops/08.htm",

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TY - GEN

T1 - A Hamiltonian formulation for nonlinear wave-body interactions

AU - van Daalen, E.F.G.

AU - van Groesen, E.

AU - Zandbergen, P.J.

N1 - Conference code: 8

PY - 1993/5/23

Y1 - 1993/5/23

N2 - Here we show that gravity driven water waves - on a fluid of arbitrary variable depth - interacting with rigid bodies floating freely in or below the free surface can be described as an infinite-dimensional Hamiltonian system. It will appear that, with appropriate choices for the canonical variables and the Hamiltonian, the complete set of equations of motion - i.e. the nonlinear free surface conditions and the hydrodynamic equations of motion for the rigid bodies - can be written in a canonical form.

AB - Here we show that gravity driven water waves - on a fluid of arbitrary variable depth - interacting with rigid bodies floating freely in or below the free surface can be described as an infinite-dimensional Hamiltonian system. It will appear that, with appropriate choices for the canonical variables and the Hamiltonian, the complete set of equations of motion - i.e. the nonlinear free surface conditions and the hydrodynamic equations of motion for the rigid bodies - can be written in a canonical form.

M3 - Conference contribution

BT - 8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993

CY - St John's

T2 - 8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993

Y2 - 23 May 1993 through 26 May 1993

ER -

A Hamiltonian formulation for nonlinear wave-body interactions

Abstract

Workshop

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