Effects of bottom friction on continental shelf waves

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Abstract The effects of bottom friction on a continental shelf wave for which σ/ f is 0(1), where σ is a wave frequency and f is the Coriolis parameter, are investigated. Rotational motions in the bottom boundary layer, which are ignored in conventional parameterizations of bottom friction having the form r u/ H , are considered in this study. Here, r is a friction coefficient, H is depth and u is a velocity vector. The results are as follows: (i) The rotational motions cause a decrease in damping and a modification in frequency compared to the results obtained with r u/ H : (ii) Friction in the form r u/ H is only applicable if σ/ f ≪ 1. Further work has examined the wavenumber dependence of these effects for linear friction using an exponential depth profile. A wind-forced model, in which the frequency of wind forcing is relatively high, has also been investigated.

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