School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
10-2020
Abstract
The purpose of the research was to investigate two-dimensional modeling of efficiency of mixing, resulting from the reflection of a linear internal wave field (IWF) off a continental slope. Efficiency of deep ocean mixing was associated with the energy balance of the radiating IWF into an interior of the ocean in the vicinity of a sloping bottom topography. Since waves are generated not only at the fundamental frequency but also at all of its harmonics ωn = nω less than buoyancy frequency N and greater than Coriolis frequency f, our analysis includes, in general, an infinite number of discrete internal wave modes n satisfying the dispersion relationship for internal waves. However, since we are interested only in the radiating part of the field, the mode numbers are limited. Due to multiple singularities of order two caused by resonance in the vicinity of critical slope, the energy is visualized in Lδ -norm with δ > 2. Research results include the visualization of the effects of the continental slope and the Earth’s rotation on resulting energy in the vicinity of the slope.
Recommended Citation
Ibragimov, R. , Biondi, A. , Arndt, N. , Castillo, M. , Lin, G. , Vatchev, V. and Zhang, S. (2020) Energy Spectrum of Linear Internal Wave Field in the Vicinity of Continental Slope. Journal of Applied Mathematics and Physics, 8, 2256-2274. https://doi.org/10.4236/jamp.2020.810169
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
Journal of Applied Mathematics and Physics
DOI
10.4236/jamp.2020.810169
Comments
Copyright © 2020 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0).