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Journal of Fluid Mechanics Journal of Fluid Mechanics

Article contents

Interference and transmission of spatiotemporally locally forced internal waves in non-uniform stratifications

Published online by Cambridge University Press:  05 March 2019

Rohit Supekar [Opens in a new window]  and
Thomas Peacock
Rohit Supekar
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Thomas Peacock
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Corresponding
E-mail address:
srohit@mit.edu
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Abstract

Studies of the effects of constructive or destructive interference on the transmission of internal waves through non-uniform stratifications have typically been performed for internal wave fields that are spatiotemporally harmonic. To understand the impacts of spatiotemporal localization, we present a theoretical and experimental study of the transmission of two-dimensional internal waves that are generated by a boundary forcing that is localized in both space and time. The model analysis reveals that sufficient localization leads to the disappearance of transmission peaks and troughs that would otherwise be present for a harmonic forcing. The corresponding laboratory experiments that we perform provide clear demonstration of this effect. Based on the group velocity and angle of propagation of the internal waves, a practical criterion that assesses when the transmission peaks or troughs are evident is obtained.

JFM classification

Geophysical and Geological Flows: Geophysical and Geological Flows Geophysical and Geological Flows: Internal waves Geophysical and Geological Flows: Stratified flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 866 , 10 May 2019 , pp. 350 - 368
Copyright
© 2019 Cambridge University Press 

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References

Alford, M. H., MacKinnon, J. A., Simmons, H. L. & Nash, J. D. 2016 Near-inertial internal gravity waves in the ocean. Annu. Rev. Mar. Sci. 8, 95–123.CrossRefGoogle ScholarPubMed
Baines, P. G. & Hoinka, K. P. 1985 Stratified flow over two-dimensional topography in fluid of infinite depth: a laboratory simulation. J. Atmos. Sci. 42 (15), 1614–1630.2.0.CO;2>CrossRefGoogle Scholar
Bell, T. H. 1975 Lee waves in stratified flows with simple harmonic time-dependence. J. Fluid Mech. 67, 705–722.CrossRefGoogle Scholar
Cuypers, Y., Le Vaillant, X., Bouruet-Aubertot, P., Vialard, J. & McPhaden, M. J. 2013 Tropical storm-induced near-inertial internal waves during the Cirene experiment: energy fluxes and impact on vertical mixing. J. Geophys. Res. Oceans 118 (1), 358–380.CrossRefGoogle Scholar
Echeverri, P. M.2009 Internal tide generation by tall ocean ridges. PhD thesis, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
Ghaemsaidi, S. J.2015 Interference and resonance of internal gravity waves. PhD thesis, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
Ghaemsaidi, S. J., Dosser, H. V., Rainville, L. & Peacock, T. 2016a The impact of multiple layering on internal wave transmission. J. Fluid Mech. 789, 617–629.CrossRefGoogle Scholar
Ghaemsaidi, S. J., Joubaud, S., Dauxois, T., Odier, P. & Peacock, T. 2016b Nonlinear internal wave penetration via parametric subharmonic instability. Phys. Fluids 28 (1), 011703.CrossRefGoogle Scholar
Gill, A. E. 1984 On the behavior of internal waves in the wakes of storms. J. Phys. Oceanogr. 14 (7), 1129–1151.2.0.CO;2>CrossRefGoogle Scholar
Gostiaux, L., Didelle, H., Mercier, S. & Dauxois, T. 2007 A novel internal waves generator. Exp. Fluids 42 (1), 123–130.CrossRefGoogle Scholar
Gregory, K. D. & Sutherland, B. R. 2010 Transmission and reflection of internal wave beams. Phys. Fluids 22 (10), 106601.CrossRefGoogle Scholar
Kundu, P. K. 1993 On internal waves generated by travelling wind. J. Fluid Mech. 254, 529–559.CrossRefGoogle Scholar
Mathur, M. & Peacock, T. 2009 Internal wave beam propagation in non-uniform stratifications. J. Fluid Mech. 639, 133–152.CrossRefGoogle Scholar
Mathur, M. & Peacock, T. 2010 Internal wave interferometry. Phys. Rev. Lett. 104, 118501.CrossRefGoogle ScholarPubMed
Mercier, M. J., Martinand, D., Mathur, M., Gostiaux, L., Peacock, T. & Dauxois, T. 2010 New wave generation. J. Fluid Mech. 657, 308–334.CrossRefGoogle Scholar
Nault, J. T. & Sutherland, B. R. 2007 Internal wave transmission in nonuniform flows. Phys. Fluids 19 (1), 016601.CrossRefGoogle Scholar
Oster, G. 1965 Density gradients. Sci. Am. 213 (2), 70–76.CrossRefGoogle Scholar
Price, J. F. 1981 Upper ocean response to a hurricane. J. Phys. Oceanogr. 11, 153–175.2.0.CO;2>CrossRefGoogle Scholar
Price, J. F. 1983 Internal wave wake of a moving storm. Part I. Scales, energy budget and observations. J. Phys. Oceonogr. 13, 949–965.2.0.CO;2>CrossRefGoogle Scholar
Rayson, M. D., Ivey, G. N., Jones, N. L., Lowe, R. J., Wake, G. W. & McConochie, J. D. 2015 Near-inertial ocean response to tropical cyclone forcing on the Australian North-West Shelf. J. Geophys. Res. Oceans 120 (12), 7722–7751.CrossRefGoogle Scholar
Supekar, R. B.2017 Interference and transmission of locally forced internal waves in non-uniform stratifications. Master’s thesis, Massachusetts Institute of Technology, Cambridge, MA.Google Scholar
Sutherland, B. R. 2010 Internal Gravity Waves. Cambridge University Press.CrossRefGoogle Scholar
Sutherland, B. R. 2016 Internal wave transmission through a thermohaline staircase. Phys. Rev. Fluids 1 (1), 013701.CrossRefGoogle Scholar
Sutherland, B. R. & Yewchuk, K. 2004 Internal wave tunnelling. J. Fluid Mech. 511, 125–134.CrossRefGoogle Scholar
Timmermans, M.-L., Toole, J., Krishfield, R. & Winsor, P. 2008 Ice-tethered profiler observations of the double-diffusive staircase in the Canada Basin thermocline. J. Geophys. Res. 113, C00A02.CrossRefGoogle Scholar
Vailard, J., Duvel, J. P., McPhaden, M. J., Bouruet-Aubertot, P., Ward, B., Key, E., Bourras, D., Weller, R., Minnett, P., Weill, A. et al. 2009 Cirene: air–sea interactions in the Seychelles-Chagos thermocline ridge region. Bull. Am. Meteorol. Soc. 90 (1), 45–61.CrossRefGoogle Scholar

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