A Note on the Linearized Form of the Kinematic Bottom Boundary Condition
Open Access
- 1 December 1983
- journal article
- Published by American Meteorological Society in Journal of Physical Oceanography
- Vol. 13 (12) , 2241-2245
- https://doi.org/10.1175/1520-0485(1983)013<2241:anotlf>2.0.co;2
Abstract
The exact kinematic bottom boundary condition is w = u·∇h. The linearized form in an incompressible flow is w = ∇·(uh at z = 0. Use of the approximate linearized form w = u·∇h at z = 0 eliminates the phase shift of the transmitted wave in a Kelvin wave scattering calculation, and it significantly modifies the transmitted and reflected waves in a one-dimensional long-wave scattering calculation, even when u·∇h≫h∇·u over most of the topography.Keywords
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