Special Session 144: PDEs and Irregular Interfaces: New Frontiers for Industrial Applications

On Rumples and Rolls: Efficient Representations for Elastodynamics in Ice Sheets
Peter Nekrasov
University of Chicago
USA
Co-Author(s):    Peter Nekrasov, Jeremy G. Hoskins
Abstract:
Elastic waves are involved in a number of important phenomena, including the bending and flexing of floating ice sheets driven by the ocean. These elastic effects are frequently modeled using a time-harmonic wave equation with zero traction boundary conditions, which correspond to a free or unconstrained surface. In this talk, we introduce a novel approach for handling coupled hydro-elastic waves that reduce the problem to a Fredholm second kind integral equation on the boundary. These techniques are applied to ongoing fieldwork around the rumple zones of the McMurdo Ice Shelf in order to better understand wave localization and propagation in the polar regions.