Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.2699
Publisher DOI: 10.1115/1.4045625
Title: Investigation of nonlinear wave-ice interaction using parameter study and numerical simulation
Language: English
Authors: Hartmann, Moritz Cornelius Nikolaus  
Bock und Polach, Rüdiger Ulrich Franz von  
Ehlers, Sören 
Hoffmann, Norbert  
Onorato, Miguel 
Klein, Marco  
Keywords: fluid-structure interaction;nonlinear waves;ice;Nonlinear Schrödinger equation;numerical parameter study
Issue Date: Apr-2020
Publisher: ASME
Source: Journal of Offshore Mechanics and Arctic Engineering 2 (142): 021601 (2020-04)
Journal or Series Name: Journal of offshore mechanics and arctic engineering 
Abstract (english): This paper investigates the question of the existence of nonlinear wave-ice interaction with
the focus on nonlinear wave propagation and dispersion of waves. The scope of this investigation
is to provide a better understanding of ice and wave conditions required to observe
nonlinear wave effects under level ice. Direct numerical simulations of nonlinear waves in
solid ice are performed within the weakly nonlinear Schrödinger equation (NLSE) framework,
using the theoretical findings from Liu and Mollo-Christensen’s 1988 paper. Systematic
variations of wave and ice parameters address the impact of the mechanical ice
properties and ice thickness on traveling waves of certain wave lengths. The impacts of
parameter characteristics on nonlinear focusing and wave dynamics, as well as possible
constraints regarding physical consistency, are discussed. It is presented that nonlinear
focusing in level ice occurs theoretically. Hereby, distinctive areas of validity with
respect to nonlinear wave focusing are identified within the parameter study, which strongly
depends on the material properties of the level ice. The results obtained in the parameter
study are subsequently used to investigate wave focusing under level ice. Therefore, an
exact solution of the NLSE, the Peregrine breather, is utilized. The analytical solution for
level ice is compared to the open water solution and accompanied by direct numerical
simulations. These investigations show that nonlinear wave focusing can be predicted
under level ice for certain parameters. In addition, the agreement of the direct simulations
and the analytic solution verifies the numerical approach for nonlinear waves in solid ice.
URI: http://hdl.handle.net/11420/5231
DOI: 10.15480/882.2699
ISSN: 0892-7219
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Strukturdynamik M-14 
Type: (wissenschaftlicher) Artikel
Funded by: Deutsche Forschungsgemeinschaft (DFG)
Project: Nichtlineare Welle-Eis-Interaktion 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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