Skip to main content
×
Home
    • Aa
    • Aa

New wave generation

  • MATTHIEU J. MERCIER (a1), DENIS MARTINAND (a2), MANIKANDAN MATHUR (a3), LOUIS GOSTIAUX (a4), THOMAS PEACOCK (a3) and THIERRY DAUXOIS (a1)...
Abstract

We present the results of a combined experimental and numerical study of the generation of internal waves using the novel internal wave generator design of Gostiaux et al. (Exp. Fluids, vol. 42, 2007, pp. 123–130). This mechanism, which involves a tunable source composed of oscillating plates, has so far been used for a few fundamental studies of internal waves, but its full potential is yet to be realized. Our study reveals that this approach is capable of producing a wide variety of two-dimensional wave fields, including plane waves, wave beams and discrete vertical modes in finite-depth stratifications. The effects of discretization by a finite number of plates, forcing amplitude and angle of propagation are investigated, and it is found that the method is remarkably efficient at generating a complete wave field despite forcing only one velocity component in a controllable manner. We furthermore find that the nature of the radiated wave field is well predicted using Fourier transforms of the spatial structure of the wave generator.

Copyright
Corresponding author
Email address for correspondence: matthieu.mercier@ens-lyon.fr
References
Hide All
Aguilar D. A. & Sutherland B. R. 2006 Internal wave generation from rough topography. Phys. Fluids 18, 066603.
Alexander M. J., Richter J. H. & Sutherland B. R. 2006 Generation and trapping of gravity waves from convection with comparison to parameterization. J. Atmos. Sci. 63, 29632977.
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, 16141630.
Bell T. H. 1975 Lee waves in stratified flows with simple harmonic time dependence. J. Fluid Mech. 67, 705722.
Dalziel S. B., Hughes G. O. & Sutherland B. R. 2000 Whole-field density measurements by ‘synthetic schlieren’. Exp. Fluids 28, 322335.
Dauxois T. & Young W. R. 1999 Near-critical reflection of internal waves. J. Fluid Mech. 390, 271295.
Delisi D. P. & Orlanski I. 1975 On the role of density jumps in the reflection and breaking of internal gravity waves. J. Fluid Mech. 69, 445464.
Echeverri P., Flynn M. R., Peacock T. & Winters K. B. 2009 Low-mode internal tide generation by topography: an experimental and numerical investigation. J. Fluid Mech. 636, 91108.
Ermanyuk E. V. & Gavrilov N. V. 2008 On internal waves generated by large-amplitude circular and rectilinear oscillations of a circular cylinder in a uniformly stratified fluid. J. Fluid Mech. 613, 329356.
Fincham A. & Delerce G. 2000 Advanced optimization of correlation imaging velocimetry algorithms. Exp. Fluids 29, S1.
Garrett C. & Kunze E. 2007 Internal tide generation in the deep ocean. Annu. Rev. Fluid Mech. 39, 5787.
Gavrilov N. V. & Ermanyuk E. V. 1996 Internal waves generated by circular translational motion of a cylinder in a linearly stratified fluid. J. Appl. Mech. Tech. Phys. 38, 224227.
Gerkema T. 2001 Internal and interfacial tides: beam scattering and local generation of solitary waves. J. Mar. Res. 59, 227255.
Gilbert N. 1988 Transition von der laminaren in die turbulente Kanalströmung. PhD thesis, DFVLR Institut für Strömungsmechanik, Göttingen, Germany.
Gill A. E. 1982 Atmosphere–Ocean Dynamics. Academic.
Gostiaux L. 2006 Etude expérimentale des ondes de gravité internes en présence de topographie. émission, propagation, réflexion. PhD thesis, École Normale Supérieure, Lyon, France.
Gostiaux L. & Dauxois T. 2007 Laboratory experiments on the generation of internal tidal beams over steep slopes. Phys. Fluids 19, 028102.
Gostiaux L., Didelle H., Mercier S. & Dauxois T. 2007 A novel internal wave generator. Exp. Fluids 42, 123130.
Hurley D. G. & Keady G. 1997 The generation of internal waves by vibrating elliptic cylinders. Part 2. Approximate viscous solution. J. Fluid Mech. 351, 119138.
Ivey G. N., Winters K. B. & De Silva I. P. D. 2000 Turbulent mixing in a sloping benthic boundary layer energized by internal waves. J. Fluid Mech. 418, 5976.
Johnston T. M. S. & Merrifield M. A. 2003 Internal tide scattering at seamounts, ridges and islands. J. Geophys. Res. 108 (C6), 3180.
Kleiser L. & Schumann U. 1980 Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows. In Proceedings of Third GAMM Conference on Numerical Methods in Fluid Mechanics (ed. Hirschel E. H.), pp. 165173. Vieweg.
Kleiser L. & Schumann U. 1984 Spectral simulations of the laminar–turbulent transition process in plane poiseuille flow. In Spectral Methods for Partial Differential Equations (ed. Voigt R. G., Gottlieb D. & Hussaini M. Y.), pp. 141163. SIAM.
Lam F. P. A., Maas L. R. M. & Gerkema T. 2004 Spatial structure of tidal and residual currents as observed over the shelf break in the bay of biscay. Deep-Sea Res. I 51, 10751096.
Lighthill J. 1978 Waves in Fluids. Cambridge University Press.
Maas L. R. M., Benielli D., Sommeria J. & Lam F. P. A. 1997 Observation of an internal wave attractor in a confined stably stratified fluid. Nature 388, 557561.
Martin J. P., Rudnick D. L. & Pinkel R. 2006 Spatially broad observations of internal waves in the upper ocean at the hawaiian ridge. J. Phys. Oceanogr. 36, 10851103.
Martinand D., Carrière Ph. & Monkewitz P. A. 2006 Three-dimensional global instability modes associated with a localized hot spot in Rayleigh–Bénard–Poiseuille convection. J. Fluid Mech. 551, 275301.
Mathur M. & Peacock T. 2009 Internal wave beam propagation in nonuniform stratifications. J. Fluid Mech. 639, 133152.
McEwan A. D. & Baines P. G. 1974 Shear fronts and an experimental stratified shear flow. J. Fluid Mech. 63, 257272.
Mercier M. J., Garnier N. B. & Dauxois T. 2008 Reflection and diffraction of internal waves analyzed with the Hilbert transform. Phys. Fluids 20, 086601.
Mowbray D. E. & Rarity B. S. H. 1967 A theoretical and experimental investigation of the phase configuration of internal waves of small amplitude in a density stratified fluid. J. Fluid Mech. 28, 116.
Naito S. 2006 Wave generation and absorption – theory and application. In Proceedings of the Sixteenth International Offshore and Polar Engineering Conference (ed. Chung J. S., Kashiwagi M., Ferrant J., Mizutani N. & Chien L. K.), pp. 19. International Society of Offshore and Polar Engineers.
Nault J. T. & Sutherland B. R. 2007 Internal wave transmission in non-uniform flows. Phys. Fluids 19, 016601.
New A. L. & Da Silva J. C. B. 2002 Remote sensing evidence for the local generation of internal soliton packets in the central Bay of Biscay. Deep-Sea Res. I 49, 915934.
New A. L. & Pingree R. D. 1990 Evidence for internal tidal mixing near the shelf break in the bay of biscay. Deep-Sea Res. 37, 17831803.
Nicolaou D., Liu R. & Stevenson T. N. 1993 The evolution of thermocline waves from an oscillatory disturbance. J. Fluid Mech. 254, 401416.
Osborne A. R., Burch T. L. & Scarlet R. I. 1978 The influence of internal waves on deep-water drilling. J. Petrol. Engng 30, 14971504.
Oster C. 1965 Density gradients. Sci. Am. 213, 7076.
Peacock T. & Tabei A. 2005 Visualization of nonlinear effects in reflecting internal wave beams. Phys. Fluids 17, 061702.
Ray R. D. & Mitchum G. T. 1997 Surface manifestation of internal tides in the deep ocean: observations from altimetry and island gauges. Prog. Oceangr. 40, 135162.
Tabaei A. & Akylas T. R. 2003 Nonlinear internal gravity wave beams. J. Fluid Mech. 482, 141161.
Tabaei A., Akylas T. R. & Lamb K. G. 2005 Nonlinear effects in reflecting and colliding internal wave beams. J. Fluid Mech. 526, 217243.
Thomas N. H. & Stevenson T. N. 1972 A similarity solution for viscous internal waves. J. Fluid Mech. 54, 495506.
Thorpe S. A. 1968 On the shape of progressive internal waves. Phil. Trans. R. Soc. Lond. A 263, 563614.
Thorpe S. A. 1987 On the reflection of a train of finite-amplitude internal waves from a uniform slope. J. Fluid Mech. 178, 279302.
Thorpe S. A. 1998 Nonlinear reflection of internal waves at a density discontinuity at the base of a mixed layer. J. Phys. Oceanogr. 28, 18531860.
Voisin B. 2003 Limit states of internal wave beams. J. Fluid Mech. 496, 243293.
Walterscheid R. L., Schubert G. & Brinkman D. G. 2001 Small scale gravity waves in the upper mesosphere and lower thermosphere generated by deep tropical convection. J. Geophys. Res. 106 (D23), 3182531832.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords:

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 35 *
Loading metrics...

Abstract views

Total abstract views: 182 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 22nd October 2017. This data will be updated every 24 hours.