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Exact Steady Azimuthal Edge Waves in Rotating Fluids

Exact Steady Azimuthal Edge Waves in Rotating Fluids The full problem of water waves travelling along a constant sloping beach with the shoreline parallel to the Equator, written in a moving frame with the origin at a point on the rotating Earth is introduced. An exact steady solution of this problem moving only in the azimuthal direction, with no variations in this direction, is obtained. The solution is discussed in turn in spherical coordinates, in cylindrical coordinates and in the tangent-plan approximations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Mathematical Fluid Mechanics Springer Journals

Exact Steady Azimuthal Edge Waves in Rotating Fluids

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Physics; Fluid- and Aerodynamics; Mathematical Methods in Physics; Classical and Continuum Physics
ISSN
1422-6928
eISSN
1422-6952
DOI
10.1007/s00021-016-0287-0
Publisher site
See Article on Publisher Site

Abstract

The full problem of water waves travelling along a constant sloping beach with the shoreline parallel to the Equator, written in a moving frame with the origin at a point on the rotating Earth is introduced. An exact steady solution of this problem moving only in the azimuthal direction, with no variations in this direction, is obtained. The solution is discussed in turn in spherical coordinates, in cylindrical coordinates and in the tangent-plan approximations.

Journal

Journal of Mathematical Fluid MechanicsSpringer Journals

Published: Sep 6, 2016

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