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Solitary flexural-gravity waves in three dimensions.

Olga Trichtchenko1, Emilian I Părău2, Jean-Marc Vanden-Broeck3

  • 1Department of Physics and Astronomy, University of Western Ontario, London, Ontario, Canada.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
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Summary
This summary is machine-generated.

This study models 3D nonlinear flexural-gravity waves at fluid-ice interfaces using advanced shell theory. Numerical methods compute solitary and forced waves, advancing sea-ice phenomenon modeling.

Keywords:
boundary integral methodflexural–gravity wavessolitary waves

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Area of Science:

  • Fluid dynamics
  • Solid mechanics
  • Sea ice modeling

Background:

  • Investigating wave propagation at fluid-ice interfaces is crucial for understanding sea ice dynamics.
  • Existing models often simplify the complex mechanical behavior of ice sheets.

Purpose of the Study:

  • To analyze three-dimensional nonlinear flexural-gravity waves at the interface between a fluid and an ice sheet.
  • To apply a specialized Cosserat theory for modeling the ice sheet.
  • To compute solitary and forced waves using numerical techniques.

Main Methods:

  • Modeling the ice sheet using the special Cosserat theory of hyperelastic shells (Kirchhoff's hypothesis).
  • Assuming an inviscid, incompressible, and irrotational fluid.
  • Employing boundary integral equation techniques for numerical computation.

Main Results:

  • Successfully computed solitary and forced waves for Euler's equations.
  • Demonstrated the application of advanced shell theory to wave phenomena.

Conclusions:

  • The study provides a robust framework for analyzing wave dynamics in fluid-ice systems.
  • The numerical methods are effective for simulating complex wave behaviors in sea ice.
  • Contributes to the broader theme of sea-ice phenomena modeling.