TECHNICAL PAPERS
Jan 1, 1997

Dynamic Coupling of Wave and Surge Models by Eulerian-Lagrangian Method

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 123, Issue 1

Abstract

An Eulerian-Lagrangian method is employed in a third-generation ocean wave model and a two-dimensional storm surge model that are dynamically coupled. The stability, accuracy, and consistency of the synchronously coupled models are first verified using an idealized case of waves on a Gulf Stream Ring by comparing the computed results with that by others. Application of the coupled models to two hindcastings of storms occurred in the northern South China Sea under different forcing conditions, taking into account the mutual influences of waves and currents, gives satisfactory results in comparison with observations. Calculations show that the surface wave-dependent drag has significant effects on the surges, but the wave radiation stress has only slight effects. For prediction of wave heights, the inclusion of both the wave-dependent drag and the wave radiation stress in the storm surge model has a very small effect on the computed results. The coupled models can be easily applied to prediction or hindcasting of ocean waves and storm surges without the need for further treatment.

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References

1.
Bonaventura, L., and Casulli, V. (1995). “A finite difference, semi-implicit scheme for primitive equations of atmospheric dynamics.”Proc., 9th Int. Conf. on Numer. Meth. in Laminar and Turbulent Flow, 9(2), Pineridge Press, Swansea, Wales, U.K., 1585–1595.
2.
Casulli, V.(1990). “Semi-implicit finite difference methods for the two-dimensional shallow water equations.”J. Comp. Phys., 86(1), 56–74.
3.
Casulli, V., and Cattani, E.(1994). “Stability, accuracy and efficiency of a semi-implicit method for three-dimensional shallow water flow.”Comp. Math. Applications, 27(4), 99–112.
4.
Casulli, V., and Cheng, R. T.(1992). “Semi-implicit finite-difference methods for three-dimensional shallow water flow.”Int. J. Numer. Meth. Fluids, 15(6), 629–648.
5.
Hasselmann, K.(1973). “Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP).”Deutsches Hydrographisches Institute Supplement A, Hamburg, Germany, 8(12), 1–94.
6.
Hasselmann, K.(1985). “Computations and parameterizations of the nonlinear energy transfer in a gravity-wave spectrum. Part 1: A new method for efficient computations of the exact nonlinear transfer integral.”J. Phys. Oceanography, 15(11), 1369–1377.
7.
Holthuijsen, L. H., and Tolman, H. L. (1991). “Effects of the Gulf Stream on ocean waves.”J. Geophys. Res., 96(c7), 12,775–12,771.
8.
Janssen, P. A. E. M. (1989). “Wave-induced stress and the drag of airflow over sea waves.' J. Phys. Oceanography, 19(6), 745–754.
9.
Janssen, P. A. E. M.(1991). “Quasi-linear theory of wind wave generation applied to wave forecasting.”J. Phys. Oceanography, 21(11), 1631–1642.
10.
Komen, G. J.(1984). “On the existence of a fully developed wind-sea spectrum.”J. Phys. Oceanography, 14(8), 1271–1285.
11.
Leonard, B. P., Lock, A. P., and MacVean, M. K. (1995). “Extended numerical integration for genuinely multidimensional advective transport insuring conservation.”Proc., 9th Int. Conf. on Numer. Meth. in Laminar and Turbulent Flow, 9(1), Pineridge Press, Swansea, Wales, U.K., 1–12.
12.
Li, C. W.(1992). “A split operator scheme for ocean wave simulation.”Int. J. Numer. Meth. Fluids, 15(5), 579–593.
13.
Mastenbroek, C.(1993). “The dynamical coupling of a wave model and a storm surge model through the atmospheric boundary layer.”J. Phys. Oceanography, 23(8), 1856–1866.
14.
Mathiesen, M. (1985). “Computer modelling of depth and current refraction.”Rep. No. STF60 A85087, Norwegian Hydrotech. Lab., Trondheim, Norway.
15.
Miles, J. W.(1957). “On the generation of surface waves by shear flow.”J. Fluid Mech., 3(2), 185–204.
16.
Phillips, O. M. (1977). The dynamics of the upper ocean, 2nd Ed., Cambridge University Press, Cambridge, England.
17.
Pierson, W. J., and Moskowitz, L.(1964). “A proposed spectrum form for fully developed wind sea based on the similarity theory of S. A. Kitaigorodskii.”J. Geophys. Res., 69(24), 5181–5190.
18.
Sakai, T.(1983). “Irregular wave refraction due to current.”J. Hydr. Engrg., ASCE, 109(9), 1203–1215.
19.
Smith, S. D., and Banke, E. G.(1975). “Variation of the sea surface drag coefficient with wind speed.”Quarterly J. Royal Meteorological Society, Bracknell, England, 101, 665–673.
20.
Stansby, P. K., and Lloyd, P. M.(1995). “A semi-implicit Lagrangian scheme for 3D shallow water flow with a two-layer turbulence model.”Int. J. Numer. Meth. Fluids, 20(2), 115–133.
21.
Tolman, H. L. (1988). “Propagation of wind waves on tide.”Proc., 21st Coast. Engrg. Conf., Vol. 1, ASCE, New York, N.Y., 512–523.
22.
Tolman, H. L. (1989). “The numerical model WAVEWATCH: a third generation model for the hindcasting of wind waves on tides in shelf seas.”Rep. No. 89–2, Communications on Hydr. and Geotech. Engrg., Delft Univ. of Technol., Delft, The Netherlands.
23.
Tolman, H. L.(1990). “The influence of unsteady depths and currents of tides on wind wave propagation in shelf seas.”J. Phys. Oceanography, 20(8), 1166–1174.
24.
Tolman, H. L.(1991). “A third generation model for wind waves on slowly varying, unsteady, and inhomogeneous depth and currents.”J. Phys. Oceanography, 21(6), 782–797.
25.
Ueno, T.(1964). “Non-linear numerical studies on tides and surges in the central part of Seto Inland Sea.”The Oceanographic Mag., 16, 53–124.
26.
Yamaguchi, M., et al. (1985). “Numerical models for wave transformation due to current-depth refraction.”Proc. of Japanese Soc. of Civ. Engrg., 357/II-3, 187–195 (in Japanese).
27.
Yamaguchi, M., et al. (1988). “A numerical model for refraction components due to time-varying currents, water depth and incident waves.”Nat. Disaster Sci., 7(1), 1–9 (in Japanese).
28.
Yamaguchi, M., et al. (1989). “A numerical model for refraction computation of irregular waves due to time-varying currents, water depth.”Proc. of Japanese Soc. of Civ. Engrg., 405/II-11, 225–234 (in Japanese).
29.
Yamaguchi, M., and Hatada, Y. (1990). “A numerical model for refraction computation of irregular waves due to time-varying currents and water depth.”Proc., 22nd Coast. Engrg. Conf., ASCE, New York, N.Y., 205–217.
30.
Yuan, Y. L., et al. (1992). “LAGFD-WAM numerical model of ocean waves.”Acta Oceanologica Sinica, China Ocean Press, Beijing, China, 14(5), 1–7 (in Chinese).
31.
Zhang, M. Y., and Li, Y. S.(1996). “The synchronous coupling of a third-generation wave model and a two-dimensional storm surge model.”Oc. Engrg., 23(6), 533–543.
32.
Zhang, M. Y., Li, Y. S., and Li, C. W. (1995). “A third-generation model for propagation of waves on time-varying currents.”Proc., 9th Int. Conf. on Numer. Meth. in Laminar and Turbulent Flow, 9(2), Pineridge Press, Swansea, Wales, U.K., 948–958.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 123Issue 1January 1997
Pages: 1 - 7

History

Published online: Jan 1, 1997
Published in print: Jan 1997

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Authors

Affiliations

Y. S. Li
Prof., Dept. of Civ. and Struct. Engrg., The Hong Kong Polytechnic Univ., Hong Kong.
M. Y. Zhang
PhD Candidate, Dept. of Civ. and Struct. Engrg., The Hong Kong Polytechnic Univ., Hong Kong.

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