The effect of submergence on the scattering by the interface between two semi-infinite sheets

Timothy D C Williams, Richard Porter

Research output: Contribution to journalArticle (Academic Journal)peer-review

26 Citations (Scopus)

Abstract

This paper considers the reflection and transmission of a flexural-gravity wave within ice sheets floating on water as it propagates through a series of abrupt changes in ice sheet characteristics. The canonical problem involves one such junction at which two semi-infinite ice sheets of different properties are either frozen together or separated by a crack. Unlike most mathematical approaches to problems involving ice sheets, we allow the ice sheets to adopt a variable submergence according to their thickness. The problem is solved using integral equations formulated through the matching of eigenfunction expansions. (c) 2009 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)777-793
Number of pages17
JournalJournal of Fluids and Structures
Volume25
Issue number5
Early online date7 Apr 2009
DOIs
Publication statusPublished - Jul 2009

Keywords

  • THICKNESS
  • ICE SHEETS
  • SURFACE-WAVES
  • FLOATING ELASTIC PLATES
  • SEA-ICE
  • Wave-ice interaction
  • Galerkin scheme
  • WAVE SCATTERING
  • APPROXIMATION
  • PERIODIC BEDS
  • Sea-ice
  • REFLECTION
  • PROPAGATION
  • Finite draft

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