Triad Interactions among Surface Waves Propagating through an Ice Sheet
Name
pierce-mp2020-sm-me-2023-thesis.pdf
Description
Thesis PDF
Size
1.33 MB
Format
Adobe PDF
Checksum (MD5)
4c9b5424e9fda7a387508daba95d43cf
Author(s)
Pierce, Max W.
Advisor(s)
Yue, Dick K.P.
Date Issued
September 2023
Publisher
Massachusetts Institute of Technology
Abstract
We study nonlinear resonant wave-wave interactions which occur when ocean waves propagate into a thin floating ice sheet. Using multiple-scale perturbation analysis verified against regular perturbation for short distances past the ice edge, we obtain theoretical predictions of the wave amplitude evolution as a function of distance travelled past the ice edge for a semi-infinite ice sheet. We relate the amplitude evolution to ice bending strain, related to ice breakup. We show that, due to sum-frequency interactions, the maximum strain in the ice sheet can be more than twice that predicted by linearized theory. We further demonstrate that difference-frequency interactions also can result in a moderate strain increase compared to the linear result despite transferring energy to longer wave components. This work has implications to understanding the occurrence of ice breakup and the resulting ice floe size distribution.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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