Transformation and disintegration of strongly nonlinear internal waves by topography in stratified lakes

Annales Geophysicae

Volumn 20, Issue 12, 2002, Pages 2087-2103

  Vlasenko, V I ^a   Hutter, K ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Oceanography: general (limnology; numerical modeling); Oceanography: physical (Internal and inertial waves)

Indexed keywords

HYDRODYNAMICS; INTERNAL WAVE; LAKE DYNAMICS; STRATIFIED FLUID; TOPOGRAPHIC EFFECT;

EID: 0036967582     PISSN: 09927689     EISSN: None     Source Type: Journal    
DOI: 10.5194/angeo-20-2087-2002     Document Type: Article

References (51)

1. Apel, J. R., Holbrock, J. R., Liu, A. K., and Tsai, J. J.: The Sulu Sea internal soliton experiment, J. Phys. Oceanogr., 15, 1625-1651, 1985.
2. Diebels, S., Schuster, B., and Hutter, K.: Nonlinear internal waves over variable topography, Geophys. Astrophys. Fluid Dynamics, 76, 165-192, 1994.
3. Eckert, W., Imberger, J., and Saggio, A.: Biogeochemical evolution in response to physical forcing in the water column of warm monomictic lake. Centre for Water Research manuscript ED 1205 AS, 2000.
4. Farmer, D. M.: Observations of long nonlinear waves in a lake, J. Phys. Oceanogr., 8, 63-73, 1978.
5. Grimshaw, R.: Theory of solitary waves in shallow fluids, in: Encyclopedia of Fluid Mechanics, (Ed) Cheremisinoff, N. P., Gulf Publishing Company, Houston, 2, 3-25, 1986.
6. Grue, J., Jensen, A., Rusas, P. O., and Sveen, J. K.: Breaking and broadening of internal solitary waves, J. Fluid Mech., 413, 181-217, 2000.
7. Hamblin, P. F., Stevens, C. L., and Lawrence, G. A.: Observations of mixing in stratified lake, in: Proceedings of Fourth International Symposium on Stratified Flows, Grenoble, 1994, International Association of Hydraulics Research, Grenoble, 1994.
8. Helfrich, K., and Melville, W. K.: On nonlinear internal waves over slope-shelf topography, J. Fluid Mech., 167, 285-308, 1986.
9. Helfrich, K.: Internal solitary wave breaking and run-up on a uniform slope, J. Fluid Mech., 243, 133-154, 1992.
10. Hodges, E. R., Imberger, J., Saggio, A., and Winters, K. B.: Modeling basin-scale internal waves in stratified lake, Limnol. Oceanogr., 45, 1603-1620, 2000.
11. Hollan, E. and Simons, T. J.: Wind-induced changes of temperature and currents in Lake Constance, Arch. Meteorol. Geophys. Bioklim., A27, 333-373, 1978.
12. Horn, D. A., Imberger, J., and Ivey, G. N.: Internal solitary waves in lakes-a close problem for hydrostatic models. Proceedings of Aha Halikoa Hawaiian Workshop, January 19-22, University of Hawaii, Manoa, 95-101, 1999.
13. Horn, D. A., Imberger, J., and Ivey, G. N.: The degeneration of large-scale interfacial gravity waves in lakes, J. Fluid Mech., 434, 181-207, 2001.
14. Hunkins, K. and Fliegel, M.: Internal undular surges in Seneca Lake: A natural occurance of solitons, J. Geoph. Res., 78, 539-548, 1973.
15. Hutter, K.: Strömungsdynamische Untersuchungen im Zürich- und Luganersee. Ein Vergleich von Feldmessungen und Resultaten theoretischer Modelle. Schweizerische Zeitschrift für Hydrologie, 45, 101-144, 1983.
16. Hutter, K.: Hydrodynamics of lakes, CISM No. 286, Springer, Berlin, 1984a.
17. Hutter, K.: Mathematische Vorhersage von barotropen und baroklinen Prozessen im Zürich- und Luganersee, Vierteljahresschrift der Naturforschenden Gesellschaft in Zürich, 129, 51-92, 1984b.
18. Hutter, K.: Hydrodynamic modeling of lakes, in: Encyclopedia of Fluid Mechanics., (Ed) Cheremisinoff, N. P., Gulf Publishing Company, Houston, 6, 289-403, 1986.
19. Hutter, K., (with contributions by Bäuerle, E., Salvadé, G., Spinedi, C, and Zamboni, I.): Large scale water movements in lakes, Aquatic Sciences, 53, 100-135, 1991.
20. Hutter, K., Salvadé, G., and Schwab, G. J.: On internal wave dynamics in the Northern basin of Lake Lugano, Geophys. Astrophys. Fluid Dyn., 27, 299-336, 1983.
21. Hüttemann, H. and Hutter, K.: Baroclinic solitary water waves in a two-layer fluid system with diffusive interface, Experiments in Fluid, 30, 317-326, 2001.
22. Imberger, J. and Ivey, G. N.: On the nature of turbulence in stratified fluids: application to lakes, J. Phys. Oceanogr., 21, 659-680, 1991.
23. Jones, J. H.: Vertical mixing in the Equatorial Undercurrent, J. Phys. Oceanogr., 3, 286-296, 1973.
24. Marchuk, G. I.: Numerical methods in weather prediction. Academic Press, 1974.
25. Michallet, H. and Ivey, G. M.: Experiments on mixing due to internal solitary waves breaking on uniform slopes. J. Geophys. Res., 104, 13467-13477, 1999.
26. Monismith, S. G.: Wind-forced motions in stratified lakes and their effect on mixed layer shear. Limnol. Oceanogr., 30, 771-783. 1985.
27. Mortimer, C. H.: Water movements in lakes during summer stratification: Evidence from the temperature distribution in Windermere. Phil. Trans. R. Soc. London, B 236, 255-404, 1952.
28. Mortimer, C. H. and Horn, W.: Internal wave dynamics and their implications for plankton biology in the Lake of Zurich, Vierteljahresschr. Naturforsch. Ges. Zürich, 127, 229-318, 1982.
29. Ollinger, D.: Modellierung von Temperatur. Turbulenz und Algenwachstum mit einem gekoppelten physikalisch-biologischen Modell, PhD Thesis, University Heidelberg, Verlag im Internet, ISBN 3-933342-38-4, 200, 1999.
30. Osborne, A. R. and Burch, T. I.: Internal solitons in the Andaman Sea, Nature, 208, 451-469, 1980.
31. Pakanowski, R. C. and Philander, S. G. H.: Parametrisation of vertical mixing in numerical models of Tropical Oceans, J. Phys. Oceanogr., 11, 1443-1451, 1981.
32. Saggio, A. and Imberger, J.: Internal wave weather in a stratified lake. Limnol. Oceanogr., 43, 1780-1795, 1998.
33. Saggio, A. and Imberger, J.: Mixing and turbulent fluxes in metalimnion of a stratified lake, Limnol. Oceanogr., 46, 392-409, 2001.
34. Stacey M. W. and Zedel, L.: The time-dependent hydraulic flow and dissipation over the sill of Observatory Inlet. J. Phys. Oceanogr., 16, 1062-1076, 1986.
35. Stevens C. and Imberger, J.: The initial response of a stratified lake to a surface shear stress, J. Fluid Mech., 312, 39-66, 1996.
36. Stocker, T. and Hutter, K.: Topographic waves in channels and lakes on the f-plane, Lecture Notes on Coastal and Estuarine Studies, 21, Springer-Verlag, 1987.
37. Stocker, K., Hutter, K., Salvadé, G., Trösch, J., and Zamboni, I.: Observations and analysis of internal seiches in the Southern basin of Lake Lugano, Ann. Geophysicae, 5B(6), 553-568, 1987.
38. Thorpe, S. A., Hall, A. J., and Croft, I.: The internal surge in Loch Ness, Nature, 237, 96-98, 1972.
39. Thorpe, S. A.: Turbulence and mixing in a Scottish loch, Phil. Trans. R. Soc. Lond., A 286, 125-181, 1977.
40. Thorpe, S. A., Keen, J. M., Jiang, R., and Lemmin, U.: High-frequency internal waves in Lake Geneva. Phil. Trans. R. Soc. Lond., A 354, 237-257, 1996.
41. Umlauf, L., Wang, Y., and Hutter, K.: Comparing two topography-following primitive equation models for lake circulation. J. Comp. Physics. 153, 638-659, 1999.
42. Vinni, M., Horppila, J., Olin, M., Ruuhijar̈vi, J., and Nyberg, K.: The food, growth and abundance of five co-existing cyprinids in lake basins of different morphometry and water quality. Aquatic Ecology, 34, 421-431, 2000.
43. Vlasenko, V. I., Brandt, P., and Rubino, A.: On the structure of large amplitude internal solitary waves, J. Phys. Oceanogr., 30, 2172-2185, 2000.
44. Vlasenko, V. I. and Hutter, K.: Generation of second mode solitary waves by the interaction of a first mode soliton with sill, Nonlin. Proc. in Geophys., 8, 223-239, 2001.
45. Vlasenko, V. I. and Hutter, K.: Numerical experiments on the breaking of solitary internal waves over slope-shelf topography, J. Phys. Oceanogr., 32, 1779-1793, 2002.
46. Wang, Y. and Hutter, K.: A semi-spectral primitive equation model for lake circulation dynamics and its stability performance, J. of Comput. Physics, 139, 1-33, 1998.
47. Wang, Y. and Hutter, K.: Methods of subtracting in lake circulation dynamics, Advances in Water Resources, 23, 399-425, 2000.
48. Wang, Y. and Hutter, K.: Comparison of numerical methods with respect to convectively-dominated problems, Int. J. for Numerical Methods in Fluids, 37(6), 721-745, 2001.
49. Wang, Y. and Hutter, K.: Application of the total variation diminishing method to a lake circulation model and comparison with traditional difference schemes, Ann. Geophysicae, submitted, 2002.
50. Wang, Y., Hutter, K., and Bäuerle, E.: Wind induced baroclinic response of Lake Constance. Ann. Geophysicae, 18, 1488-1501. 2000.
51. Wiegand, R. C. and Carmack, E.: The climatology of internal waves in a deep temperature lake. J. Geoph. Res., 91, 3951-3958, 1986.