Numerical Model for Wave Refraction-Diffraction near Pearl River Estuary, China
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 129, Issue 6
Abstract
Using the elliptic mild-slope equation to resolve wave fields in large coastal areas requires enormous computer resources, thus imposing a great restriction on the applicability of this equation for practical engineering problems. An improved numerical model based on the mild slope RCPWAVE model has been developed for computing wave refraction and diffraction in a large coastal area with complex coastline near the Pearl River estuary, in China. An operator splitting method is employed to solve the wave action equation, in which the advection terms are resolved by the Eulerian-Lagrangian method to increase numerical stability and the other terms are discretized by the implicit finite-element method to fit complex coastline geometries. A stable and efficient nominal-time finite-node method is proposed to solve the nonlinear irrotational wave number equation for wave directions. Numerical tests on wave propagation proved that the present model has significant improvements in model stability and efficiency over the RCPWAVE model. Different swell transformation scenarios in the Pearl River estuary have been simulated by the model. For such a large and complex estuarine region, the model simulated the wave distributions reasonably well, with good efficiency, and it also produced results that closely matched the field measurements collected at two wave gauges.
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References
Berkhoff, J. C. W. (1972). “Computation on combined refraction-diffraction.” Proc., 13th Coastal Engineering Conf., ASCE, New York, 1, 471–490.
Berkhoff, J. C. W., Booij, N., and Radder, S. C.(1982). “Verification of numerical wave propagation models for simple harmonic linear water waves.” Coastal Eng., 6, 255–396.
Bonaventura, L., and Casulli, V. (1995). “A finite difference, semi-implicit scheme for primitive equations of atmospheric dynamics.” Proc., 9th Int. Conf. on Numerical Methods in Laminar and Turbulent Flow, Pineridge Press, Swansea, U.K., 1585–1595.
Casulli, V.(1990). “Semi-implicit finite difference methods for the two-dimensional shallow water equations.” J. Comput. Phys., 86, 56–74.
Casulli, V., and Cattani, E.(1994). “Stability, accuracy, and efficiency of a semi-implicit method for three-dimensional shallow water flow.” Comput. Math. Appl., 27, 99–112.
Casulli, V., and Cheng, R. T.(1992). “Semi-implicit finite-difference methods for three dimensional shallow water flow.” Int. J. Numer. Methods Eng., 15, 629–648.
Chen, Y. (2001). “Sediment transport by waves and currents in the Pearl River estuary.” PhD thesis, Dept. of Civil and Structural Engineering, Hong Kong Polytechnic University, Hong Kong.
Dingemans, M. W. (1996). Water wave propagation over uneven bottom. Part 1: Linear wave propagation, World Scientific, Singapore.
Ebersole, B. A.(1985). “Refraction-diffraction model for linear water waves.” J. Waterw., Port, Coastal, Ocean Eng., 111(6), 939–953.
Hino, M., Kashiwayanagi, M., Nakayama, A., and Hara, T.(1983). “Experiments on the turbulence statistics and the structure of a reciprocating oscillating flow.” J. Fluid Mech., 131, 363–400.
Hong, G. W.(1996). “Mathematical models for combined refraction-diffraction of waves on non-uniform current and depth.” China Ocean Engrg., 10(4), 433–454.
Larsen, J., and Dancy, H.(1983). “Open boundaries in short wave simulation—a new approach.” Coastal Eng., 7, 285–297.
Liu, P. L. F. (1990). “Wave transformation.” The sea, Vol. 9A, B. LeMehaute and D. M. Hanes, eds., Wiley, New York, 27–63.
Li, Y. S., Liu, S. X., Yu, Y. X., and Lai, G. Z.(1999). “Numerical modeling of Boussinesq equations by finite-element method.” Coastal Eng., 37, 97–122.
Li, Y. S., and Zhang, M. Y.(1997). “Dynamic coupling of wave and surge models by Eulerian-Lagrangian method.” J. Waterw., Port, Coastal, Ocean Eng., 123(1), 1–7.
Lo, J. M.(1991). “A numerical model for combined refraction-diffraction of short waves on an island.” Ocean Eng., 18, 419–434.
Lu, Q. M., and Wai, O. W. H.(1998). “An efficient operator splitting scheme for three-dimensional hydrodynamic computations.” Int. J. Numer. Methods Eng., 26, 771–789.
Maa, J. P. Y., and Kim, S. C.(1992). “Effects of bottom friction on wave breaking using RCPWAVE model.” J. Waterw., Port, Coastal, Ocean Eng., 118(4), 387–400.
Maa, J. P. Y., and Wang, D. W. C.(1995). “Wave transformation near Virginia coast—the Halloween Northeaster.” J. Coastal Res., 11(4), 1258–1271.
Panchang, V. G., Xu, B., and Demirbilek, Z. (1999). “Wave prediction models for coastal engineering applications.” Developments in offshore engineering: Wave phenomena and offshore topics, J. B. Herbich, ed., Gulf, Houston, 163–193.
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. Methods Fluids, 20, 115–133.
Soulsby, R. L. (1997). Dynamics of marine sands: A manual for practical applications, Telford, London.
U.S. Army Corps of Engineers (USACE). (2002). “Estimation of nearshore waves.” Coastal engineering manual, Part II. U.S. Army Corps of Engineers, Washington, D.C.
Wai, O., and Lu, Q.(1999). “Gradient-adaptive-sigma (GAS) grid for 3D mass transport modeling.” J. Hydraul. Eng., 125(2), 141–151.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 129 • Issue 6 • November 2003
Pages: 260 - 269
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Aug 23, 2001
Accepted: May 8, 2003
Published online: Oct 15, 2003
Published in print: Nov 2003
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