TY - JOUR
T1 - Spectral analysis of the efficiency of vertical mixing in the deep ocean due to interaction of tidal currents with a ridge running down a continental slope
AU - Ibragimov, R. N.
AU - Tartakovsky, A.
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014
Y1 - 2014
N2 - Efficiency of mixing, resulting from the reflection of an internal wave field imposed on the oscillatory background flow with a three-dimensional bottom topography, is investigated using a linear approximation. The radiating wave field is associated with the spectrum of the linear model, which consists of those mode numbers n and slope values α, for which the solution represents the internal waves of frequencies ω = nω0 radiating upwrad of the topography, where ω0 is the fundamental frequency at which internal waves are generated at the topography. The effects of the bottom topography and the earth's rotation on the spectrum is analyzed analytically and numerically in the vicinity of the critical slope αn,θc = arcsin (n 2ω 02-f 2/N 2-f 2) 1/2 α n,θ c = arcsin n 2 ω 0 2-f2N 2-f212, which is a slope with the same angle to the horizontal as the internal wave characteristic. In this notation, θ is latitude, f is the Coriolis parameter and N is the buoyancy frequency, which is assumed to be a constant, which corresponds to the uniform stratification.
AB - Efficiency of mixing, resulting from the reflection of an internal wave field imposed on the oscillatory background flow with a three-dimensional bottom topography, is investigated using a linear approximation. The radiating wave field is associated with the spectrum of the linear model, which consists of those mode numbers n and slope values α, for which the solution represents the internal waves of frequencies ω = nω0 radiating upwrad of the topography, where ω0 is the fundamental frequency at which internal waves are generated at the topography. The effects of the bottom topography and the earth's rotation on the spectrum is analyzed analytically and numerically in the vicinity of the critical slope αn,θc = arcsin (n 2ω 02-f 2/N 2-f 2) 1/2 α n,θ c = arcsin n 2 ω 0 2-f2N 2-f212, which is a slope with the same angle to the horizontal as the internal wave characteristic. In this notation, θ is latitude, f is the Coriolis parameter and N is the buoyancy frequency, which is assumed to be a constant, which corresponds to the uniform stratification.
KW - Effects of rotation
KW - Flows over topography
KW - Internal waves
KW - Ocean mixing
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U2 - 10.1051/mmnp/20149508
DO - 10.1051/mmnp/20149508
M3 - Article
AN - SCOPUS:84904699908
SN - 0973-5348
VL - 9
SP - 119
EP - 137
JO - Mathematical Modelling of Natural Phenomena
JF - Mathematical Modelling of Natural Phenomena
IS - 5
ER -