Parameterizing Internal Wave Boundary Mixing in a Canyon

2009 ◽  
Author(s):  
James B. Girton ◽  
Eric Kunze
2015 ◽  
Vol 27 (1) ◽  
pp. 016605 ◽  
Author(s):  
Sandhya Harnanan ◽  
Nancy Soontiens ◽  
Marek Stastna

2008 ◽  
Vol 15 ◽  
pp. 3-9 ◽  
Author(s):  
U. Harlander

Abstract. Time harmonic inviscid internal wave motions constrained to fully closed domains generically lead to singular velocity fields. In spite of this difficulty, several techniques exist to solve such internal wave boundary value problems. Recently it has been shown that for a domain with the shape of a trapezium, solutions can be written in terms of a double sine Fourier series. However, the solutions were found by a numerical technique and thus not all coefficients of the series are available. Unfortunately, for questions related e.g. to regularization of the inviscid singular solutions, the knowledge of the asymptotic behavior of the spectrum for large wave numbers is essential. Here we discuss solutions of internal wave boundary value problems for which the spectra are known, at least asymptotically. We further describe shortcomings of the found solutions that need to be overcome in the future. Finally, we sketch applications of the solutions in the context of viscous energy dissipation.


2011 ◽  
Vol 41 (3) ◽  
pp. 586-600 ◽  
Author(s):  
Daniel Bourgault ◽  
David C. Janes ◽  
Peter S. Galbraith

Abstract Remote and in situ field observations documenting the reflection of a normally incident, short, and large-amplitude internal wave train off a steep slope are presented and interpreted with the help of the Dubreil–Jacotin–Long theory. Of the seven remotely observed waves that composed the incoming wave train, five were observed to reflect. It is estimated that the incoming wave train carried Ei = (24 ± 4) × 104 J m−1 to the boundary. The reflection coefficient, defined as the ratio of reflected to incoming wave train energies, is estimated to be R = 0.5 ± 0.2. This is about 0.4 lower than parameterizations in the literature, which are based on reflections of single solitary waves, would suggest. It is also shown that the characteristics of the wave-boundary situation observed in the field are outside the parameter space examined in previous laboratory and numerical experiments on internal solitary wave reflectance. This casts doubts on extrapolating current laboratory-based knowledge to fjord-like systems and calls for more research on internal solitary wave reflectance.


AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 2293-2301
Author(s):  
R. Benay ◽  
P. Berthouze ◽  
R. Bur

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 985-995 ◽  
Author(s):  
Frederic Thivet ◽  
Doyle D. Knight ◽  
Alexander A. Zheltovodov ◽  
Alexander I. Maksimov

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