The use of a wave prediction model for driving a near-surface current model

Springer Science and Business Media LLC - Tập 42 - Trang 133-149 - 1989
Alastair D. Jenkins1
1Bergen Scientific Centre, IBM, Bergen, Norwegen

Tóm tắt

The current near the sea surface is an important influence on the drift and dispersion of plankton, fish eggs and larvæ and other marine organisms, of oil slicks, chemical pollutants and other substances, and contributes significantly to the forces on marine structures. Since it is intimately associated with air-sea momentum and energy transfer, it affects, and is affected by, the atmospheric conditions, and, in the long term, the global climate. Since surface gravity waves are almost always present at the air-sea interface, and carry significant energy and momentum, they should be taken into account when estimating near-surface currents. A one-dimensional current model is presented which does take waves into account. It uses a Lagrangian coordinate system, and the source terms from a directional spectral wave prediction model act to transfer momentum from the wave field to the current. After the wave model is run, but before it is used to drive the current, the source terms in the tail of the wave spectrum are parameterized in a way which deals consistently with the balance of wave energy, momentum and action. Numerical integration is performed by using a finite difference grid with a fine resolution near the surface, and an implicit time-stepping scheme is used. The model results are consistent with present knowledge of the behaviour of the surface current. Within the upper 1 metre, they depend strongly upon the behaviour of the wave spectral tail. Oscillations in the modelled high-frequency wave components, which arise when the wind forcing is changed rapidly, give rise to corresponding oscillations in the current: this effect may be physical or it may be due to a slight instability in the wave model.

Tài liệu tham khảo

Andrews, D. G. and M. E. McIntyre, 1978: An exact theory of nonlinear waves on a Lagrangian-mean flow. J. Fluid Mech.89, 609–646. Backhaus, J. O., 1985: A three-dimensional model for the simulation of shelf sea dynamics. Dt. hydrogr. Z.38, 165–187. Barstow, S. F. and H. E. Krogstad, 1984: General analysis of directional ocean wave data from heave/pitch/roll buoys. Modeling, Identification and Control5, 47–70. Davies, A. M., 1986: Application of a spectral model to the calculation of wind drift currents in an idealized sea. Continent. Shelf Res.5, 579–610. Davies, A. M. and J. E. Jones, 1987: Modelling turbulence in shallow sea regions. In: Small-scale turbulence and mixing in the ocean. (Eds. J. C. J. Nihoul and B. M. Jamart) Amsterdam: Elsevier (Proc. 19th Liège Colloquium on Ocean Hydrodynamics), p. 63–76. Ekman, V. W., 1905: On the influence of the Earth's rotation on ocean-currents. Arkiv för Matematik, Astronomi och Fysik2, No. 11, 1–52. Gerstner F. J., 1804: Theorie der Wellen. Abhandl. Kgl. Böhm. Ges. Wiss., Prague. Gill, A. E., 1982: Atmosphere-Ocean Dynamics. London: Academic Press, 662 p. (International Geophysics Series, Vol. 30.) Gjevik, B., H. E. Krogstad, A. Lygre and O. Rygg, 1988: Long-period swell wave events on the Norwegian shell. J. phys. Oceanogr.18, 724–737. Hasselmann, K., 1962: On the non-linear energy transfer in a gravity-wave spectrum. Part 1. General theory. J. Fluid Mech.12, 481–500. Hasselmann, K., 1970: Wave-driven inertial oscillations. Geophys. Fluid Dyn.1, 463–502. Hasselmann, S., K. F. Hasselmann, J. H. Allender and T. P. Barnett, 1985: Computations and parameterizations of the nonlinear energy transfer in a gravity-wave spectrum. Part II: Parameterizations of the nonlinear energy transfer for application in wave models. J. phys. Oceanogr.15, 1378–1391. Huang, N. E., 1979: On surface drift currents in the ocean. J. Fluid Mech.91, 191–208. Jenkins, A. D., 1986: A theory for steady and variable wind- and wave-induced currents. J. phys. Oceanogr.16, 1370–1377. Jenkins, A. D., 1987a: Wind and wave induced currents in a rotating sea with depthvarying eddy viscosity. J. phys. Oceanogr.17, 938–951. Jenkins, A. D., 1987b: A Lagrangian model for wind- and wave-induced near-surface currents. Coastal Engng11, 513–526. Jenkins, A. D., 1987c: A dynamically consistent model for simulating near-surface ocean currents in the presence of waves. Advances in Underwater Technology, Ocean Science and Offshore Engineering, Volume 12: Modelling the Offshore Environment. London: Graham and Trotman for the Society for Underwater Technology, p. 343–352. Kitajgorodskij, S. A., 1973: The physics of air-sea interaction. English translation. Jerusalem: Israel Program for Scientific Translations, 237 p. Komen, G. J., S. Hasselmann and K. F. Hasselmann, 1984: On the existence of a fully developed wind-sea spectrum. J. phys. Oceanogr.14, 1271–1285. Leibovich, S. and S. Paolucci, 1981: The instability of the ocean to Langmuir circulations. J. Fluid Mech.102, 141–167. Longuet-Higgins, M. S., 1953: Mass transport in water waves. Philos. Trans. Roy. Soc., London (A)245, 535–581. Longuet-Higgins, M. S., 1970: Long-shore currents generated by obliquely incident sea waves, 1. J. geophys. Res.75, 6778–6789. McIntyre, M. E., 1981: On the ‘wave momentum’ myth. J. Fluid Mech.106, 331–347. Madsen, O. S., 1977: A realistic model of the wind-induced Ekman boundary layer. J. phys. Oceanogr.7, 248–255. Pollard, R. T., 1970: Surface waves with rotation: An exact solution. J. geophys. Res.75, 5895–5898. Roache, P. J., 1972: Computational Fluid Dynamics. Albuquerque, New Mexico: Hermosa Publ., 446 p. Snodgrass, F. E., G. W. Groves, K. F. Hasselmann, G. R. Miller, W. H. Munk and W. H. Powers, 1966: Propagation of ocean swell across the Pacific. Philos. Trans. Roy. Soc. London (A)259, 431–497. Stokes, G. G., 1847: On the theory of oscillatory waves. Trans. Cambridge philos. Soc.8, 441–455. The SWAMP Group, 1985: Sea Wave Modeling Project (SWAMP). Part I: Principal results and conclusions. Ocean Wave Modeling. New York: Plenum Press, p. 1–153. Thorpe, S. A., 1985: Small-scale processes in the upper ocean boundary layer. Nature318, 519–522. Ursell, F., 1950: On the theoretical form of ocean swell on a rotating earth. Mon. Not. Roy. astron. Soc. (Geophys Suppl.)6, 1–8. The WAMDI Group (S. Hasselmann, K. F. Hasselmann, E. Bauer, P. A. E. M. Janssen, G. J. Komen, L. Bertotti, P. Lionello, A. Guillaume, V. C. Cardone, J. A. Greenwood, M. Reistad, L. Zambresky and J. A. Ewing), 1988. The WAM model—a third generation ocean wave prediction model. J. phys. Oceanogr.18, 1775–1810. Weber, J. E., 1981: Ekman currents and mixing due to surface gravity waves. J. phys. Oceanogr.11, 1431–1435. Weber, J. E., 1983a: Steady wind- and wave-induced currents in the open ocean. J. phys. Oceanogr.13, 524–530. Weber, J. E., 1983b: Attenuated wave-induced drift in a viscous rotating ocean. J. Fluid Mech.137, 115–129. Wolf, J., K. P. Hubbert and R. A. Flather, 1988: A feasibility study for the development of a joint surge and wave model. Proudman Oceanogr. Laboratory, Report No. 1, 109 p.