Shoaling of nonlinear internal waves in Massachusetts Bay

Journal of Geophysical Research: Oceans

Volumn 113, Issue 8, 2008, Pages

  Scotti, A ^a   Beardsley, R C ^b   Butman, B ^c   Pineda, J ^b  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

^b WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

^c U S GEOLOGICAL SURVEY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC TEMPERATURE; MATHEMATICAL MODELS; OCEAN CURRENTS; TIDES; WATER WAVES;

INTERNAL WAVE; MODELING; NONLINEARITY; SHOALING WAVE;

MASSACHUSETTS; MASSACHUSETTS BAY; NORTH AMERICA; UNITED STATES;

EID: 56049106398     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2008JC004726     Document Type: Article

References (35)

1. Apel, J. R. (2003), A new analytical model for internal solitons in the oceans, J. Phys. Oceanogr., 33, 2247-2269.
2. Apel, J. R., L. A. Ostrovsky, and Y. A. Stepanyants (1995), Internal solitons in the ocean, Tech. Rep. MERCJRA0695, Appl. Phys. Lab., JHU, Baltimore, Md.
3. Apel, J. R., L. A. Ostrovsky, Y. A. Stepanyants, and J. F. Lynch (2007), Internal solitons in the ocean and their effect on underwater sound, J. Acoust. Soc. Am., 121, 695-722.
4. Baines, P. G. (1995), Topographic Effects in Stratified Flows, Monogr. on Mech., Cambridge.
5. Bourgault, D., M. D. Blokhina, R. Mirshak, and D. E. Kelley (2007), Evolution of a shoaling internal solitary wavetrain, Geophys. Res. Lett., 34, L03601, doi:10.1029/2006GL028462.
6. Butman, B., P. S. Alexander, S. P. Anderson, F. L. Lightsom, A. Scotti, and R. C. Beardsley (2004a), The Massachusetts Bay internal wave experiment, August 1998: Data report, Tech. Rep. U. S. Geological Survey Data Series 85, Washington, D. C. (Available at http:// pubs.usgs.gov/ds/2006/85/)
7. Butman, B., P. C. Valentine, W. W. Danforth, L. Hayes, L. A. Serrett, and T. J. Middleton (2004b), Shaded relief, backscatter intensity and sea floor topography of Massachusetts Bay and the Stellwagen Bank Region, offshore of Boston, Massachusetts, U.S. Geological Survey Geologic Investigation Map I-2734, scale 1:125,000, 2 sheets. U.S. Geol. Surv., Washington, D. C. (Available at http://pubs.usgs.gov/imap/i2734)
8. Butman, B., P. S. Alexander, A. Scotti, R. C. Beardsley, and S. Anderson (2006), Large internal waves in Massachusetts Bay transport sediments offshore, Cont. Shelf Res., 26, 2029-2049.
9. Choi, W., and R. Camassa (1999), Fully nonlinear internal waves in a two-fluid system, J. Fluid Mech., 396, 1.
10. Dauxois, T., and W. R. Young (1999), Near-critical reflection of internal waves, J. Fluid Mech., 390, 271-295.
11. Grimshaw, R., E. Pelinovsky, and T. Talipova (1997), The modified Korte-weg-de Vries equation in the theory of large-amplitude internal waves, Nonlinear Processes Geophys., 4, 237-250.
12. Grimshaw, R., E. Pelinovsky, and T. Talipova (1999), Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity, Physica D, 132, 40-62.
13. Helfrich, K. R. (1992), Internal solitary wave breaking and run-up on a uniform slope, J. Fluid Mech., 243, 133-154.
14. Helfrich, K. R., and W. K. Melville (1986), On long non-linear internal waves over slope-shelf, J. Fluid Mech., 167, 285.
15. Helfrich, K. R., and W. K. Melville (2006), Long nonlinear internal waves, Ann. Rev. Fluid Mech., 38, 395-425.
16. Jackson, C. R. (2004), An Atlas of Internal Solitary-like Internal Waves, Global Ocean Assoc., Alexandria, Va. (Available at http:// www.internalwaveatlas.com)
17. Kao, T. W., F.-S. Pan, and D. Renouard (1985), Internal solitons on the pycnocline: Generation, propagation, and shoaling and breaking over a slope, J. Fluid Mech., 159, 19-53.
18. Klymak, J. M., and J. N. Moum (2003), Internal solitary waves of elevation advancing on a shoaling shelf, Geophys. Res. Lett., 30(20), 2045, doi:10.1029/2003GL017706.
19. Knebel, H. J., and R. C. Circe (1995), Seafloor environments within the Boston Harbor-Massachusetts Bay sedimentary system: A regional synthesis, J. Coastal Res., 11, 230-251.
20. Legg, S., and A. Adcroft (2003), Internal wave breaking at concave and convex continental slopes, J. Phys. Oceanogr., 33, 2224-2246.
21. Liu, A. K., Y S. Chang, M.-K. Hsu, and N. K. Liang (1998), Evolution of nonlinear internal waves in the East and South China Seas, J. Geophys. Res., 103, 7995-8008.
22. Noble, M. A., and J. P. Xu (2003), Observations of large-amplitude cross-shore internal bores near the shelf break, Santa Monica Bay, CA, Mar. Environ. Res., 56, 127-149.
23. Oldale, R. N., S. M. Colman, and G. A. Jones (1993), Radiocarbon ages from two submerged strandline features in the western Gulf of Maine and sea-level curve for the northeastern Massachusetts coastal region, Quat. Res., 40, 38-45.
24. Ostrovsky, L. A., and J. Grue (2003), Evolution equations for strongly nonlinear internal waves, Phys. Fluids, 15, 2934-2948.
25. Pineda, J., and M. Lopez (2002), Temperature, stratification and barnacle larval settlement in two California sites, Cont. Shelf Res., 22, 1183-1198.
26. Ramp, S. R., T. Y. Tang, T. F. Duda, J. F. Lynch, A. K. Liu, C.-S. Chiu, F. L. Bahr, H.-R. Kim, and Y.-J. Yang (2004), Internal solitons in the northeastern South China Sea. Part I: Sources and deep water propagation, IEEE J. Oceanic Eng., 29, 1157-1181.
27. Sandstrom, H., and J. A. Elliot (1984), Internal tide and solitons on the Scotian Shelf, J. Geophys Res., 89, 6415.
28. Scotti, A., and J. Pineda (2004), Observation of very large and steep waves of elevation near the Massachusetts coast, Geophys. Res. Lett., 31, L22307, doi:10.1029/2004GL021052.
29. Scotti, A., R. C. Beardsley, and B. Butman (2007), Generation and propagation of nonlinear internal waves in Massachusetts Bay, J. Geophys. Res., 112, C10001, doi:10.1029/2007JC004313.
30. Stanton, T. P., and L. A. Ostrovsky (1998), Observations of highly nonlinear, tidally forced solitons over the continental shelf, Geophys. Res. Lett., 25, 2695.
31. Trask, R. P., and M. G. Briscoe (1983), Detection of Massachusetts Bay internal waves by the synthetic aperture radar (SAR) on SEASAT, J. Geophys. Res., 88, 1789-1799.
32. Venayagamoorthy, S. K., and O. B. Fringer (2006), Numerical simulations of the interaction of internal waves with a shelf break, Phys. Fluids, 18, 076603.
33. Vlasenko, V., and K. Hutter (2002), Numerical experiments of the breaking of solitary internal waves over a slope-shelf topography, J. Phys. Oceanogr., 32, 1779-1793.
34. Vlasenko, V., L. Ostrovsky, and K. Hutter (2005a), Adiabatic behavior of strongly nonlinear internal soiltary waves in slope-shelf areas, J. Geophys. Res., 110, C04006, doi:10.1029/2004JC002705.
35. Vlasenko, V., N. Stashchuck, and K. Hutter (2005b), Baroclinic Tides, Cambridge Univ. Press, New York.