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Incidence and Reflection of Internal Waves and Wave-induced Currents at a Jump in Buoyancy Frequency : Volume 22, Issue 3 (04/05/2015)

By McHugh, J. P.

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Book Id: WPLBN0004017228
Format Type: PDF Article :
File Size: Pages 16
Reproduction Date: 2015

Title: Incidence and Reflection of Internal Waves and Wave-induced Currents at a Jump in Buoyancy Frequency : Volume 22, Issue 3 (04/05/2015)  
Author: McHugh, J. P.
Volume: Vol. 22, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2015
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Mchugh, J. P. (2015). Incidence and Reflection of Internal Waves and Wave-induced Currents at a Jump in Buoyancy Frequency : Volume 22, Issue 3 (04/05/2015). Retrieved from http://www.netlibrary.net/


Description
Description: University of New Hampshire, Durham, NH, USA. Weakly nonlinear internal gravity waves are treated in a two-layer fluid with a set of nonlinear Schrodinger equations. The layers have a sharp interface with a jump in buoyancy frequency approximately modeling the tropopause. The waves are periodic in the horizontal but modulated in the vertical and Boussinesq flow is assumed. The equation governing the incident wave packet is directly coupled to the equation for the reflected packet, while the equation governing transmitted waves is only coupled at the interface. Solutions are obtained numerically. The results indicate that the waves create a mean flow that is strong near and underneath the interface, and discontinuous at the interface. Furthermore, the mean flow has an oscillatory component that can contaminate the wave envelope and has a vertical wavelength that decreases as the wave packet interacts with the interface.

Summary
Incidence and reflection of internal waves and wave-induced currents at a jump in buoyancy frequency

Excerpt
McHugh, J. P., Jumper, G. Y., and Chun, M.: Balloon thermosonde measurements over Mauna Kea, and comparison with seeing measurements, Pub. Astro. Soc. Pac., 120, 1318–1324, 2008b.; Shrira, V. I.: On the propagation of a three-dimensional packet of weakly non-linear internal gravity waves, Int. J. Non-Lin. Mech., 16, 129–138, 1981.; Smith, R. B., Woods, B. K., Jensen, J., Cooper, W. A., Doyle, J. D., Jiang, Q., and Grubisic, V.: Mountain waves entering the stratosphere, J. Atmos. Sci., 65, 2543–2562, 2008.; Sutherland, B. R.: Finite-amplitude internal wavepacket dispersion and breaking, J. Fluid Mech., 429, 343–380, 2001.; Sutherland, B. R.: Weakly nonlinear internal gravity wavepackets, J. Fluid Mech., 569, 249–258, 2006.; Tabaei, A. and Akylas, T. R.: Resonant long-short wave interactions in an unbounded rotating stratified fluid, Stud. Appl. Math., 119, 271–296, 2007.; Ames, W. F.: Numerical methods for partial differential equations, Academic Press, New York, NY, USA, 1977.; Andrews, D. G. and McIntyre, M. E.: An exact theory of nonlinear waves on a Lagangian-mean flow, J. Fluid Mech., 89, 609–646, 1978a.; Tabaei, A., Akylas, T. R., and Lamb, K. G.: Nonlinear effects in reflecting and colliding internal wave beams, J. Fluid Mech., 526, 217–243, 2005.; Thorpe, S. A.: On the shape of progressive internal waves, Philos. T. Roy. Soc. A, 263, 563–614, 1968.; Thorpe, S. A.: On the reflection of a train of finite-amplitude internal waves from a uniform slope, J. Fluid Mech., 178, 279–302, 1987.; Voronovich, A. G.: On the propagation of a packet of weakly nonlinear internal waves in a medium with constant Vaisala frequency, Izv. Atmos. Ocean Phys., 18, 247–250, 1982.; Wolff, J. K. and Sharman, R. D.: Climatology of upper-level turbulence over the contiguous United States, J. Appl. Meteorol. Clim., 47, 2198–2214, 2008.; Worthington, R. M.: Tropopausal turbulence caused by the breaking of mountain waves, J. Atmos. Sol.-Terr. Phy., 60, 1543–1547, 1998.; Andrews, D. G. and McIntyre, M. E.: On wave action and it's relatives, J. Fluid Mech., 89, 647–664, 1978b.; Born, M. and Wolf, E.: Principles of Optics, Pergamon, Cambridge, UK, 1959.; Dosser, H. V. and Sutherland, B. R.: Weakly nonlinear non-Boussinesq internal gravity wavepackets, Physica D, 240, 346–356. 2011.; Griffiths, S. D., Grimshaw, R. H. J., and Khusnutdinova, K. R.: Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system, Physica D, 214, 1–24, 2006.; Grimshaw, R. H. J.: Nonlinear internal gravity waves and their interaction with the mean wind, J. Atmos. Sci., 32, 1779–1793, 1975.; Grimshaw, R. H. J.: The modulation and stability of an internal gravity wave, Memoires Societe Royale des Sciences de Liege, 299-314, 1976.; Grimshaw, R. H. J.: Mean flows induced by internal gravity wave packets propagating in a shear flow, J. Fluid Mech., 90, 161–178, 1979.; Grimshaw, R. H. J. and McHugh, J. P.: Steady and unsteady nonlinear internal waves incident on an interface, Q. J. Roy. Met. Soc., 139, 1990–1996, 2013.; Knobloch, E. and Gibbon, J. D.: Coupled NLS equations for counter propagating waves in systems with reflection symmetry, Phys. Lett. A, 154, 353–356, 1991.; McHugh, J. P.: Mean flow generated by an internal wave packet impinging on the interface between two layers of fluid with continuous density, Theor. Comp. Fluid Dynam., 22, 107–123, 2008.; McHugh, J. P.: Internal waves at an interface between two layers of differing stability, J. Atmos. Sci., 66, 1845–1855, 2009.; McHugh, J. P., Dors, I., Jumper, G. Y., Roadcap, J., and Murphy, E. and Hahn, D.: Large variations in balloon ascent rate over Hawaii, J. Geophys. Res., 113, D15123, doi:10.1029/2007JD009458, 2008a.; Partl, W.: Clear air turbulence at the tropopause levels, Navigation, 9, 288–295, 1962.; Scorer, R. S.: Theory of waves in the lee of mountains, Q. J. Roy. Meteorol. Soc., 75, 41–56, 1949.

 

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