Wave Reflection by a Sheet of Sea Ice
The effect of a thin sheet of sea ice, modelled as an elastic plate, on the propagation of surface gravity waves in the ocean has been the subject of extensive study. A classic problem is that of a plane wave obliquely incident from an open ocean of constant finite depth on an ice sheet in the form of a half-plane. This problem was solved using the Wiener-Hopf technique by Evans and Davies . In their report Evans and Davies wrote of part of the solution process “Unfortunately, the determination of the constants... presents enormous computational difficulties...” and ever since their appears to have been a general feeling that the Weiner-Hopf solution to this problem is cumbersome and impractical.
KeywordsWave Reflection Elastic Plate Incident Plane Wave Surface Gravity Wave Undisturbed Free Surface
Unable to display preview. Download preview PDF.
- 3.D. V. Evans and T. V. Davies. Wave-ice interaction. Report 1313, Davidson Laboratory, Stevens Institue of Technology, New Jersey, 1968.Google Scholar
- 4.Colin Fox. A scaling law for the flexural motion of floating ice. In J. P. Dempsey and H. H. Shen, editors, Proc. of IUTAM Symposium on Scaling laws in Ice Mechanics and Ice Dynamics, pages 135–148, Fairbanks, Alaska, 2000.Google Scholar