Transient Shallow Water Wave Interactions with a Partially Fragmented Ice Shelf

This work investigates the interaction between water waves and multiple ice shelf fragments in front of a semi-infinite ice sheet. The hydrodynamics are modelled using shallow water wave theory and the ice shelf vibration is modelled using Euler–Bernoulli beam theory. The ensuing multiple scattering...

Full description

Bibliographic Details
Published in:Fluids
Main Authors: Faraj Alshahrani, Michael H. Meylan, Ben Wilks
Format: Article in Journal/Newspaper
Language:English
Published: MDPI AG 2024
Subjects:
ice shelf
transfer matrix
energy conservation
shallow water
time domain
Thermodynamics
QC310.15-319
Descriptive and experimental mechanics
QC120-168.85
Ice Sheet
Ice Shelf
Ice Shelves
Online Access:https://doi.org/10.3390/fluids9080192
https://doaj.org/article/46a9ff7afc5543de8117dfea89d34e76
Description
Summary:This work investigates the interaction between water waves and multiple ice shelf fragments in front of a semi-infinite ice sheet. The hydrodynamics are modelled using shallow water wave theory and the ice shelf vibration is modelled using Euler–Bernoulli beam theory. The ensuing multiple scattering problem is solved in the frequency domain using the transfer matrix method. The appropriate conservation of energy identity is derived in order to validate our numerical calculations. The transient scattering problem for incident wave packets is constructed from the frequency domain solutions. By incorporating multiple scattering, this paper extends previous models that have only considered a continuous semi-infinite ice shelf. This paper serves as a fundamental step towards developing a comprehensive model to simulate the breakup of ice shelves.

Similar Items