On the breaking parameters of signalling problem

W.M Kusumawinahyu, A. Andonowati, E. van Groesen

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Abstract

This research is motivated by the requirement of hydrodynamic laboratories to generate extreme waves for testing ships in steep, large amplitude wave fields. It is also desired that such a wave will not break in its spatial evolution before reaching the tested ship position. For this purpose, finding criteria that determine if wave breaking will occur is important.

In the study of wave breaking, Banner et.al. [1] proposed a non-dimensional quantity that can be interpreted as the dynamic of the maximal square of wave steepness over the spatial domain. The investigation uses a simulation model to calculate the evolution of ocean waves for a given initial profile that depends on certain parameters. A threshold value for the quantity that marks the breaking of waves was found.

Different from Banner's initial value problems, in this contribution we will consider the signalling problem: a time signal is prescribed to a wave maker in a wave tank that produces propagating waves running in initially still water. The aim is to observe the resulting nonlinear effects on the waves and to study in which cases the waves will or will not break. This also leads to a threshold value for the steepness of signal at wavemaker and for adjusted Banner's quantity as the breaking parameter of signalling problem. In this observation we consider similar classes of waves as in [1], namely Bichromatic waves and Benjamin Feir-waves, and investigate the evolution by using a numerical simulation code HUBRIS developed by Westhuis [2]. The validity of this code has been tested against laboratory experiments. The result of our investigations is that for both classes the parameters of wave breaking are more extreme in the signaling case than in the case of Banner's initial value problem.
Original languageEnglish
Title of host publicationProceedings International Conference on Applied Mathematics 2005
Place of PublicationBandung, Indonesia
PublisherInstitut Teknologi Bandung
Pages57-57
Number of pages1
ISBN (Print)90-3652244-7
Publication statusPublished - 22 Aug 2005
EventInternational Conference on Applied Mathematics, ICAM 2005 - Institut Teknologi Bandung, Bandung, Indonesia
Duration: 22 Aug 200526 Aug 2005

Conference

ConferenceInternational Conference on Applied Mathematics, ICAM 2005
Abbreviated titleICAM
CountryIndonesia
CityBandung
Period22/08/0526/08/05

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ships
boundary value problems
slopes
time signals
thresholds
oceans
simulation
hydrodynamics
requirements
profiles
water

Cite this

Kusumawinahyu, W. M., Andonowati, A., & van Groesen, E. (2005). On the breaking parameters of signalling problem. In Proceedings International Conference on Applied Mathematics 2005 (pp. 57-57). Bandung, Indonesia: Institut Teknologi Bandung.
Kusumawinahyu, W.M ; Andonowati, A. ; van Groesen, E. / On the breaking parameters of signalling problem. Proceedings International Conference on Applied Mathematics 2005. Bandung, Indonesia : Institut Teknologi Bandung, 2005. pp. 57-57
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Kusumawinahyu, WM, Andonowati, A & van Groesen, E 2005, On the breaking parameters of signalling problem. in Proceedings International Conference on Applied Mathematics 2005. Institut Teknologi Bandung, Bandung, Indonesia, pp. 57-57, International Conference on Applied Mathematics, ICAM 2005, Bandung, Indonesia, 22/08/05.

On the breaking parameters of signalling problem. / Kusumawinahyu, W.M; Andonowati, A.; van Groesen, E.

Proceedings International Conference on Applied Mathematics 2005. Bandung, Indonesia : Institut Teknologi Bandung, 2005. p. 57-57.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - This research is motivated by the requirement of hydrodynamic laboratories to generate extreme waves for testing ships in steep, large amplitude wave fields. It is also desired that such a wave will not break in its spatial evolution before reaching the tested ship position. For this purpose, finding criteria that determine if wave breaking will occur is important.In the study of wave breaking, Banner et.al. [1] proposed a non-dimensional quantity that can be interpreted as the dynamic of the maximal square of wave steepness over the spatial domain. The investigation uses a simulation model to calculate the evolution of ocean waves for a given initial profile that depends on certain parameters. A threshold value for the quantity that marks the breaking of waves was found.Different from Banner's initial value problems, in this contribution we will consider the signalling problem: a time signal is prescribed to a wave maker in a wave tank that produces propagating waves running in initially still water. The aim is to observe the resulting nonlinear effects on the waves and to study in which cases the waves will or will not break. This also leads to a threshold value for the steepness of signal at wavemaker and for adjusted Banner's quantity as the breaking parameter of signalling problem. In this observation we consider similar classes of waves as in [1], namely Bichromatic waves and Benjamin Feir-waves, and investigate the evolution by using a numerical simulation code HUBRIS developed by Westhuis [2]. The validity of this code has been tested against laboratory experiments. The result of our investigations is that for both classes the parameters of wave breaking are more extreme in the signaling case than in the case of Banner's initial value problem.

AB - This research is motivated by the requirement of hydrodynamic laboratories to generate extreme waves for testing ships in steep, large amplitude wave fields. It is also desired that such a wave will not break in its spatial evolution before reaching the tested ship position. For this purpose, finding criteria that determine if wave breaking will occur is important.In the study of wave breaking, Banner et.al. [1] proposed a non-dimensional quantity that can be interpreted as the dynamic of the maximal square of wave steepness over the spatial domain. The investigation uses a simulation model to calculate the evolution of ocean waves for a given initial profile that depends on certain parameters. A threshold value for the quantity that marks the breaking of waves was found.Different from Banner's initial value problems, in this contribution we will consider the signalling problem: a time signal is prescribed to a wave maker in a wave tank that produces propagating waves running in initially still water. The aim is to observe the resulting nonlinear effects on the waves and to study in which cases the waves will or will not break. This also leads to a threshold value for the steepness of signal at wavemaker and for adjusted Banner's quantity as the breaking parameter of signalling problem. In this observation we consider similar classes of waves as in [1], namely Bichromatic waves and Benjamin Feir-waves, and investigate the evolution by using a numerical simulation code HUBRIS developed by Westhuis [2]. The validity of this code has been tested against laboratory experiments. The result of our investigations is that for both classes the parameters of wave breaking are more extreme in the signaling case than in the case of Banner's initial value problem.

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BT - Proceedings International Conference on Applied Mathematics 2005

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ER -

Kusumawinahyu WM, Andonowati A, van Groesen E. On the breaking parameters of signalling problem. In Proceedings International Conference on Applied Mathematics 2005. Bandung, Indonesia: Institut Teknologi Bandung. 2005. p. 57-57