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Strongly Nonlinear, Simple Internal Waves in Continuously-stratified, Shallow Fluids : Volume 18, Issue 1 (14/02/2011)

By Ostrovsky, L. A.

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Book Id: WPLBN0003982845
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: Strongly Nonlinear, Simple Internal Waves in Continuously-stratified, Shallow Fluids : Volume 18, Issue 1 (14/02/2011)  
Author: Ostrovsky, L. A.
Volume: Vol. 18, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2011
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

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Helfrich, K. R., & Ostrovsky, L. A. (2011). Strongly Nonlinear, Simple Internal Waves in Continuously-stratified, Shallow Fluids : Volume 18, Issue 1 (14/02/2011). Retrieved from http://hawaiilibrary.net/


Description
Description: Zel Technologies and University of Colorado, Boulder, CO, USA. Strongly nonlinear internal waves in a layer with arbitrary stratification are considered in the hydrostatic approximation. It is shown that simple waves having a variable vertical structure can emerge from a wide class of initial conditions. The equations describing such waves have been obtained using the isopycnal coordinate as a variable. Emergence of simple waves from an initial Gaussian impulse is numerically investigated for different density profiles, from two- and three-layer structure to the continuous one. Besides the first mode, examples of second- and third-mode simple waves are given.

Summary
Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids

Excerpt
Apel, J. R., Ostrovsky, L. A., Stepanyants, Y. A., and Lynch, J. F.: Internal solitons in the ocean and their effect on underwater sound, J. Acoust. Soc. Amer., 121, 695–722, 2007.; Baines, P. G.: Topographic effects in stratified flows, Cambridge University Press, 482 pp., 1995.; Jiang, Q. and Smith R.: Ideal shocks in 2-layer flow. Part I: Under a rigid lid, Tellus, 53A, 129–145, 2001.; Chumakova, L., Menzaque, F. E., Milewski, P. A., Rosales, R. R., Tabak, E. G., and Turner, C. V.: Shear instability for stratified hydrostatic flows, Comm. Pure Appl. Math., 62, 183–197, 2009.; Jiang, G.-S. and Tadmor, E.: Nonoscillatory central schemes for multidimensional hyperbolic conservation laws, SIAM J. Sci. Comp., 19, 1892–1917, 1998.; Klemp, J. B., Rotunno, R., and Skamarock, W. C.: On the propagation of internal bores, J. Fluid Mech., 331, 81–106, 1997.; Lyapidevsky, V. Yu.: The structure of roll waves in two-layer flows, J. Appl. Maths. Mechs., 64, 937–943, 2000.; Ostrovsky, L.: Nonlinear internal waves in a rotating ocean, Oceanology, 18, 119–125, 1978.; Sandström, H. and Quon, C.: On time-dependent, two-layer flow over topography. 1. Hydrostatic approximation, Fluid Dyn. Res., 11, 119–137, 1993.; Smyth, N. and Holloway, P.: Hydraulic jump and undular bore formation on a shelf break, J. Phys. Oceano., 18, 947–962, 1988.; Yermakov, S. A. and Pelinovsky, E. N.: Toward a theory of multimodal distribution of the characteristics of long internal waves of finite amplitude, Izvestia, Atmos. Oceanic Phys., 11, 1055–1060, 1975.; Zahibo, N., Slunyaev, A., Talipova, T., Pelinovsky, E., Kurkin, A., and Polukhina, O.: Strongly nonlinear steepening of long interfacial waves, Nonlin. Processes Geophys., 14, 247–256, doi:10.5194/npg-14-247-2007, 2007.

 

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