Author(s)

Ranis N. Ibragimov¹, Austin Biondi¹, Nathan Arndt², Maria Castillo², Guang Lin³, Vesselin Vatchev⁴, Sheng Zhang³

¹Wenatchee Valley College, Wenatchee, WA, USA.
²University of Wisconsin-Parkside, Kenosha, WI, USA.
³Purdue University, West Lafayette, IN, USA.
⁴University of Texas Rio Grande, Edinburg, TX, USA.

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 ω_n = 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 L_δ -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.

Internal Wave Field, Effects of Rotation, Continental Slope, Energy Radiation

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. doi: 10.4236/jamp.2020.810169.