Browse > Article

Comparison between Variational Approximation and Eigenfunction Expansion Method for Wave Transformation over a Step Bottom  

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. 91-107 More about this Journal
Abstract
In order to compute linear wave transformation over a single step bottom, both variational approximation and eigenfunction expansion method are used. Both numerical results are in good agreement for reflection and transmission coefficients, surface displacement respectively. However x velocity profiles at the boundary of step are seen to be different to each other even though x velocity matching condition is used.
Keywords
wave transformation; single-step topography; eigenfunction expansion method; variational approximation; numerical experiment;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 서승남, 김상익 (1991). 혼합경계적분 요소법을 사용한 직교입사파랑의 반사율계산 모델. 한국해안해양공학회지, 3(3), 170-175
2 Greenberg, M.D. (1978). Foundations of Applied Mathematics, Prentice-Hall, Englewood Cliffs, New Jersey
3 Kirby, J.T., Dalrymple, R.A. and Seo, S.N. (1987). Propagation of obliquely incident water waves over a trench. Part 2. Currents flowing along the trench. J. Fluid Mech., 176, 95-116   DOI   ScienceOn
4 Takano, K. (1960). Effets d'un obstacle paralllpipdique sur la propagation de la houle. La Houille Blanche, 15, 247-267
5 서승남, 전기천 (1992). 해저단애 지형 및 흐름에 의한 억류파랑. 한국해안해양공학회지, 4(1), 1-9
6 Arfken, G. (1970). Mathematical Methods for Physicists. 2nd ed., Academic, New York
7 Lamb, H. (1932). Hydrodynamics. Dover, New York
8 조용식, 이창훈 (1998). 수심이 변하는 지형을 통과하는 파랑의 반사율과 통과율 산정. 대한토목학회논문집, 18(11-4), 351-358
9 Mei, C.C. (1989). The Applied Dynamics of Ocean Surface Waves. World Scientific, Singapore
10 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
11 O'Hare, T.J. and Davies, A.G (1992). A new model for surfacewave propagation over undulating topography. Coastal Eng., 18, 251-266   DOI   ScienceOn
12 Athanassoulis G.A. and Belibassakis K.A. (1999). A consistent coupled-mode theory for the propagation of small-amplitude water waves over variable bathymetry regions. J. Fluid Mech., 389, 275-301   DOI   ScienceOn
13 Miles, J.W. (1967). Surface-wave scattering matrix for a shelf. J. Fluid Mech., 28, 755-767   DOI
14 Devillard, P., Dunlop, F. and Souillard B. (1988). Localization of gravity waves on a channel with a random bottom. J. Fluid Mech., 186, 521-538   DOI
15 Miles, J.W. (1982). On surface-wave diffraction by a trench. J. Fluid Mech., 115, 315-325   DOI   ScienceOn
16 서승남 (2008). 산란체법에 의한 다중 계단지형에서의 파랑변형 계산. 한국해안해양공학회논문집, 20(5), 439-451