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Investigation of nonlinear wave-ice interaction using parameter study and numerical simulation
Citation Link: https://doi.org/10.15480/882.2699
Publikationstyp
Journal Article
Date Issued
2020-04
Sprache
English
TORE-DOI
TORE-URI
Volume
142
Issue
2
Article Number
021601
Citation
Journal of Offshore Mechanics and Arctic Engineering 2 (142): 021601 (2020-04)
Publisher DOI
Scopus ID
Publisher
ASME
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.
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.
Subjects
fluid-structure interaction
nonlinear waves
ice
Nonlinear Schrödinger equation
numerical parameter study
DDC Class
510: Mathematik
620: Ingenieurwissenschaften
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