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Solution Comparisons of Modified Mild Slope Equation and EFEM Plane-wave Approximation  

Seo, Seung-Nam (Coastal Engineering & Ocean Energy Research Department, KORDI)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.21, no.2, 2009 , pp. 117-126 More about this Journal
Abstract
In order to test the accuracy between the modified mild slope equation (MMSE) without evanescent modes and the plane-wave approximation (PA) of eigenfunction expansion method, various numerical results from both models are presented. In this study, analytical solutions of two models are employed, one based on the MMSE derived by Porter (2003) and the other on the scatterer method of PA by Seo (2008a). Judging from direct comparisons against existing results of rapidly varying topography, the PA model gives better predictions of the wave propagation than the MMSE model.
Keywords
wave transformation; eigenfunction expansion method; modified mild slope equation; scatterer method; analytical solution;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Suh, K.D., Lee C. and Park, W.S. (1997). Time-dependent equations for wave propagation on rapidly varying topography. Coastal Eng., 32, 91-117   DOI   ScienceOn
2 조용식, 이창훈 (1998). 수심이 변하는 지형을 통과하는 파랑의 반사율과 통과율 산정. 대한토목학회논문집, 18(11-4), 351-358
3 Davies, A.G. and Heathershaw, A.D. (1984). Surface-wave propagation over sinusoidally varying topography. J. Fluid Mech., 144, 419-443   DOI   ScienceOn
4 Kim, J.W and Bai, K.J. (2004). A new complementary mildslope equation. J. Fluid Mech., 5111, 24-40
5 서승남 (2008b). 변분근사식과 연계된 산란체법에 의한 파랑변형 계산. 한국해안해양공학회논문집, 20(6), 553-563
6 Massel, S.R. (1993). Extended refraction-diffraction equation for surface waves. Coastal Eng., 19, 97-126   DOI   ScienceOn
7 Kirby, J.T. and Dalrymple, R.A. (1983). Propagation of obliquely incident water waves over a trench. J. Fluid Mech., 133, 47-63   DOI   ScienceOn
8 서승남 (2008a). 산란체법에 의한 다중 계단지형에서의 파랑변형 계산. 한국해안해양공학회논문집, 20(5), 439-451
9 Athanassoulis, G.A. and Belibassakis, K.A. (1999). A consistent coupled-mode theory for the propagation of smallamplitude water waves over variable bathymetry regions. J. Fluid Mech., 389, 275-301   DOI   ScienceOn
10 Booij, N. (1983). A note on the accuracy of the mild-slope equation. Coastal Eng., 7, 191-203   DOI   ScienceOn
11 Smith, R. and Sprinks, T. (1975). Scattering of surface waves by a conical island. J. Fluid Mech., 72, 373-384   DOI   ScienceOn
12 Berkhoff, J.C.W. (1972). Computation of combined refractiondiffraction. Proc. 13th Coastal Eng. Conf., 1, 471-490
13 Porter, D. and Staziker, D.J. (1985). Extension of the mildslope equation. J. Fluid Mech., 300, 367-382
14 Guazzelli, E., Rey, V. and Belzons, M. (1992). Higher-order Bragg reflection of gravity surface waves by periodic beds. J. Fluid Mech., 245, 301-317   DOI
15 Chamberlain, P.G. and Porter, D. (1995). The modified mild-slope equation. J. Fluid Mech., 291, 393-407   DOI   ScienceOn
16 Kirby, J.T. (1986). A general wave equation for waves over rippled beds. J. Fluid Mech., 162, 171-186   DOI   ScienceOn
17 O'Hare, T.J. and Davies, A.G (1993). A comparison of two models for surface-wave propagation over rapidly varying topography. Applied Ocean Res., 15, 1-11   DOI   ScienceOn
18 Porter, D. (2003). The mild-slope equations. J. Fluid Mech., 494, 51-63   DOI   ScienceOn