Coastal-trapped waves with finite bottom friction
Brink, Kenneth H.
MetadataShow full item record
Coastal-trapped waves with finite-amplitude bottom friction are explored. “Finite-amplitude” in this context means that the bottom stresses are large enough to change the wave modal structure. The importance of bottom friction is measured by the nondimensional number r/(ωh), where r is a bottom resistance coefficient, ω is the wave frequency and h is the water depth. Increasing bottom drag causes free wave modes to adjust by having their amplitude maxima for alongshore current translate offshore to the point that, with relatively large bottom stress, the alongshore current variance is trapped entirely on the slope, even though pressure variations remain substantial right up to the coast. In conjunction with these adjustments, wave frequency, hence propagation speed, varies and the wave damping is usually less than would be expected based on a weak-friction perturbation calculation. Stronger density stratification increases wave damping, all else being the same. A mean alongshore flow can strongly affect modal structure and wave damping, although general trends are difficult to discern. Results suggest that bottom friction may cause an observed tendency for lower frequency alongshore current fluctuations to become relatively more important with distance offshore.
Author Posting. © Elsevier B.V., 2006. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in Dynamics of Atmospheres and Oceans 41 (2006): 172-190, doi:10.1016/j.dynatmoce.2006.05.001.
Suggested CitationPreprint: Brink, Kenneth H., "Coastal-trapped waves with finite bottom friction", 2006-05-15, https://doi.org/10.1016/j.dynatmoce.2006.05.001, https://hdl.handle.net/1912/1398
Showing items related by title, author, creator and subject.
Coastal-trapped waves with stratification, topography, mean flow and bottom friction with complex frequency in Matlab Brink, Kenneth H. (2018-08-17)This set of Matlab mfiles (all having names that begin with “bigc”) can be used to calculate coastal-trapped wave modal structures and dispersion curves under very general circumstances. A complex frequency is allowed, so ...
Programs for computing properties of coastal-trapped waves and wind-driven motions over the continental shelf and slope Brink, Kenneth H.; Chapman, David C. (Woods Hole Oceanographic Institution, 1985-04)Documentation and listings are presented for a sequence of computer programs to be used for problems in continental shelf dynamics. Three of the programs are to be used for computing properties of free and forced coas ...
Brink, Kenneth H. (2018-08-17)This set of Matlab mfiles (all having names that begin with “bigr”) can be used to calculate stable, inviscid coastal-trapped wave modal structures and dispersion curves under very general circumstances. Only a real frequency ...