Resonant growth of inertial oscillations from lee waves in the deep ocean

References

• Alford, M.H., Sustained, full-water-column observations of internal waves and mixing near mendocino escarpment. J. Phys. Oceanogr. 2010, 40, 2643–2660.
   Web of Science ®Google Scholar
• Alford, M.H., MacKinnon, J.A., Simmons, H.L. and Nash, J.D., Near-inertial internal gravity waves in the ocean. Annu. Rev. Mar. Sci. 2016, 8, 95–123.
   PubMed Web of Science ®Google Scholar
• Arbic, B., Fringer, O., Klymak, J., Mayer, F., Trossman, D. and Zhu, P., Connecting process models of topographic wave drag to global eddying general circulation models. Oceanography 2019, 32, 146–155.
   Web of Science ®Google Scholar
• Auclair, F., Estournel, C., Floor, J.W., Herrmann, M., Nguyen, C. and Marsaleix, P., A non-hydrostatic algorithm for free-surface ocean modelling. Ocean Model. 2011, 36, 49–70.
   Web of Science ®Google Scholar
• Bretherton, F.P., The propagation of groups of internal gravity waves in a shear flow. Q. J. R. Meteorol. Soc. 1966, 92, 466–480.
   Web of Science ®Google Scholar
• Bretherton, F.P., Momentum transport by gravity waves. Q. J. R. Meteorol. Soc. 1969, 95, 213–243.
   Web of Science ®Google Scholar
• Burchard, H. and Rippeth, T.P., Generation of bulk shear spikes in shallow stratified tidal seas. J. Phys. Oceanogr. 2009, 39, 969–985.
   Web of Science ®Google Scholar
• Chen, S., Polton, J.A., Hu, J. and Xing, J., Thermocline bulk shear analysis in the northern North Sea. Ocean Dyn. 2016, 66, 499–508.
   Web of Science ®Google Scholar
• Chow, C.C., Henderson, D. and Segur, H., A generalized stability criterion for resonant triad interactions. J. Fluid Mech. 1996, 319, 67–76.
   Web of Science ®Google Scholar
• Danioux, E., Klein, P., Hecht, M.W., Komori, N., Roullet, G. and Le Gentil, S., Emergence of wind-driven near-inertial waves in the deep ocean triggered by small-scale eddy vorticity structures. J. Phys. Oceanogr. 2011, 41, 1297–1307.
   Web of Science ®Google Scholar
• Gerkema, T., Staquet, C. and Bouruet-Aubertot, P., Decay of semi-diurnal internal-tide beams due to subharmonic resonance. Geophys. Res. Lett. 2006, 33, L08604.
   Web of Science ®Google Scholar
• Gill, A., Atmosphere-Ocean Dynamics, 1982 (Academic Press, London).
   Google Scholar
• Hasselmann, K., A criterion for nonlinear wave stability. J. Fluid Mech. 1967, 30, 737–739.
   Web of Science ®Google Scholar
• Koudella, C. and Staquet, C., Instability mechanisms of a two-dimensional progressive internal gravity wave. J. Fluid Mech. 2006, 548, 165–196.
   Web of Science ®Google Scholar
• Labreuche, P., Ondes de relief dans l'océan profond: mélange diapycnal et interactions avec les oscillations inertielles. Ph.D. Thesis, Université Joseph Fourier, 2015. Available online at: https://tel.archives-ouvertes.fr/tel-01684248.
   Google Scholar
• Leaman, K. and Sanford, T., Vertical energy propagation of inertial waves: a vector spectral analysis of velocity profiles. J. Geophys. Res. 1975, 80, 1975–1978.
   Web of Science ®Google Scholar
• McIntyre, M.E. and Norton, W.A., Dissipative wave-mean interactions and the transport of vorticity or potential vorticity. J. Fluid Mech. 1990, 212, 403–435.
   Web of Science ®Google Scholar
• Munk, W. and Wunsch, C., Abyssal recipes II: energetics of tidal and wind mixing. Deep Sea Res. I 1998, 45, 1977–2010.
   Google Scholar
• Naveira Garabato, A.C., Polzin, K.L., King, B.A., Heywood, K.J. and Visbeck, M., Widespread intense turbulent mixing in the Southern Ocean. Science 2004, 303, 210–213.
   PubMed Web of Science ®Google Scholar
• Nikurashin, M. and Ferrari, R., Radiation and dissipation of internal waves generated by geostrophic motions impinging on small-Scale topography: I. Theory. J. Phys. Oceanogr. 2010a, 40, 1055–1074.
   Web of Science ®Google Scholar
• Nikurashin, M. and Ferrari, R., Radiation and dissipation of internal waves generated by geostrophic motions impinging on small-scale topography: II. Application to the Southern Ocean. J. Phys. Oceanogr. 2010b, 40, 2025–2042.
   Web of Science ®Google Scholar
• Nikurashin, M. and Ferrari, R., Global energy conversion rate from geostrophic flows into internal lee waves in the deep ocean. Geophys. Res. Lett. 2011, 38, L08610.
   Web of Science ®Google Scholar
• Nikurashin, M. and Legg, S., A mechanism for local dissipation of internal tides generated at rough topography. J. Phys. Oceanogr. 2011, 41, 378–395.
   Web of Science ®Google Scholar
• Olbers, D. and Eden, C., A closure for internal wave – mean flow interaction. Part I: energy conversion. J. Phys. Oceanogr. 2017, 47, 1389–1401.
   Web of Science ®Google Scholar
• Phillips, O., Theoretical and experimental studies of gravity wave interactions. Proc. R. Soc. A: Math 1967, 299, 104–119.
   Google Scholar
• Polzin, K. and Firing, E., Estimates of diapycnal mixing using LADCP and CTD data from I8S. Int. WOCE Newslett. 1997, 29, 39–42.
   Google Scholar
• Richet, O., Chomaz, J.M. and Muller, C., Internal tide dissipation at topography: triadic resonant instability equatorward and evanescent waves poleward of the critical latitude. J. Geophys. Res. Oceans 2018, 123, 6136–6155.
   Web of Science ®Google Scholar
• Sheen, K., Brearley, J., Naveira Garabato, A., Smeed, D., Waterman, S., Ledwell, J., Meredith, M., L. St Laurent, Thurnherr, A., Toole, J. and Watson, A., Rates and mechanisms of turbulent dissipation and mixing in the Southern Ocean: results from the diapycnal and isopycnal mixing experiment in the Southern Ocean (DIMES). J. Geophys. Res. Oceans 2013, 118, 2774–2792.
   Web of Science ®Google Scholar
• Stein, W., Sage Mathematics Software (Version 4.7.1), The Sage Development Team, 2012. Available online at: https://www.sagemath.org.
   Google Scholar
• Waterhouse, A.F., MacKinnon, J.A., Nash, J.D., Alford, M.H., Kunze, E., Simmons, H.L., Polzin, K.L., Sun, O.M., Pinkel, R., Talley, L.D., Whalen, C.B., Huussen, T.N., Carter, G.S., Fer, I., Waterman, S., Naveira Garabato, A.C., Sanford, T.B. and Lee, C.M., Global patterns of diapycnal mixing from measurements of the turbulent dissipation rate. J. Phys. Oceanogr. 2014, 44, 1854–1872.
   Web of Science ®Google Scholar
• Waterman, S., Polzin, K.L., Naveira Garabato, A.C., Sheen, K.L. and Forryan, A., Suppression of internal wave breaking in the antarctic circumpolar current near topography. J. Phys. Oceanogr. 2014, 44, 1466–1492.
   Web of Science ®Google Scholar
• Wright, C.J., Scott, R.B., Ailliot, P. and Furnival, D., Lee wave generation rates in the deep ocean. Geophys. Res. Lett. 2014, 41, 2434–2440.
   Web of Science ®Google Scholar
• Zemskova, V.E. and Grisouard, N., Near-inertial dissipation due to stratified flow over abyssal topography. J. Phys. Oceanogr. 2021, 51, 2483–2504.
   Web of Science ®Google Scholar