Journal of Korean Society of Coastal and Ocean Engineers (한국해안해양공학회지)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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Stem Wave Analysis of Regular Waves using a Boussinesq Equation

Boussinesq 방정식을 이용한 규칙파의 연파해석

  • Lee, Jong-In (River and Coast Division, Korea Institute of Construction Technology) ;
  • Kim, Young-Taek (River and Coast Division, Korea Institute of Construction Technology) ;
  • Yoon, Sung-Bum (Department of Civil and Environmental Engineering, Hanyang University)
  • 이종인 (한국건설기술연구원 하천해안연구실) ;
  • 김영택 (한국건설기술연구원 하천해안연구실) ;
  • 윤성범 (한양대학교 공과대학 토목환경공학과)
  • Published : 2007.10.25
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Abstract

Numerical analyses of stem waves, the interaction between incident and reflected waves of obliquely incident regular waves along a vertical wall in a constant water depth, are presented. For the numerical model of the analysis, the two-layer Boussinesq equations developed by Lynett and Liu(2004a,b) are employed. Numerical results are compared with both laboratory measurements and those obtained using parabolic approximation model. The overall comparisons between the results from the two numerical models and the experiments are good. However, the two-layer Boussinesq model is more accurate than the parabolic approximation model as the angle of incident waves increases. In particular, the higher harmonic generation due to the wave nonlinearity is captured only in the Boussinesq model.

본 연구에서는 Lynett and Liu(2004a, b)에 의해 유도된 2층 Boussineaq방정식을 이용하여 일정수심상의 규칙파 조건에서 직립벽을 따른 연파를 해석하고, 수리모형실험결과 및 포물형근사식에 의한 해석결과와 비교하였다. 두 가지 수치모형에 의한 해석결과는 수리실험결과와 비교적 잘 일치하였으나, 입사각이 증가할수록 Boussinesq 모형이 포물형모형보다 우수한 결과를 주는 것으로 나타났다. 특히 파랑의 비선형성에 의한 고차 조화성분의 발생은 Boussinesq모형에서만 관찰되었다.

Keywords

References

  1. 이종인, 윤성범 (2006). 직립벽을 따른 연파의 수리 및 수치실험. 대한토목학회논문집, 26(4B), 405-412
  2. Goda, Y. (1967). Travelling secondary wave in channels. Port and Harbour Research Institute, Report 13, Ministry of Transport, Japan, 32-38
  3. Hsiao, S.C., Lynett, P., Hwung, H.H., and Liu, P.L.-F. (2005). Numerical simulations of nonlinear short waves using the multi-layer model. Journal of Engineering Mechanics, 131(3), 231-243 https://doi.org/10.1061/(ASCE)0733-9399(2005)131:3(231)
  4. Kirby, J.T., Wei, G., Chen, Q., Kennedy, A.B., and Dalrymple, R.A. (1998). FUNWAVE 1.0, Fully nonlinear Boussinesq wave model. Documentation and user's manual, Report CACR-98-06, Center for Applied Coastal Research, University of Delaware
  5. Kobayashi, N., Karjadi, E.A., and Johnson, B.D. (1997). Dispersion effects on longshore currents in surf zones. Journal of Waterway, Port, Coastal and Ocean Engineering, 123(5), 240-248 https://doi.org/10.1061/(ASCE)0733-950X(1997)123:5(240)
  6. Lee, C., Cho, Y.S., and Yum, K.D. (2001). Internal generation of waves for extended Boussinesq equations. Coastal Engineering, 42, 155-162 https://doi.org/10.1016/S0378-3839(00)00056-9
  7. Liu, P.L.-F. (1994). Model equations for wave propagation from deep to shallow water. Advances in Coastal Engineering (ed. P.L.-F. Liu), World Scientific, Vol.1, 125-157
  8. Lynett, P. (2002). A multi-layer approach to modeling generation, propagation, and interaction of water waves. Ph.D. Thesis, Cornell University, Ithaca, NY
  9. Lynett, P. and Liu, P.L.-F. (2004a). A two-layer approach to water wave modeling. Royal Society of London A, 460, 2637-2669 https://doi.org/10.1098/rspa.2004.1305
  10. Lynett, P. and Liu, P.L.-F. (2004b). Linear analysis of the multilayer model. Coastal Engineering, 51(6), 439-454 https://doi.org/10.1016/j.coastaleng.2004.05.004
  11. Lynett, P., Wu, T.R., and Liu, P.L.-F. (2002). Modeling wave runup with depth integrated equations. Coastal Engineering, 46(2), 89-107 https://doi.org/10.1016/S0378-3839(02)00043-1
  12. Mei, C.C. and nlata, U. (1972). Harmonic generation in shallow water waves. Waves on Beaches, edited by Meyer, Academic, NY, 181-202
  13. Wei, G. and Kirby, J.T. (1995). A time-dependent numerical code for extended Boussinesq equations. Journal of Waterway, Port, Coastal and Ocean Engineering, 120, 251-261
  14. Wei, G., Kirby, J.T., Grilli, S.T., and Sinha, A. (1999). Generation of waves in Boussinesq models using a source function. Coastal Engineering, 36, 271-299 https://doi.org/10.1016/S0378-3839(99)00009-5
  15. Wei, G., Kirby, J.T., Grilli, S.T., and Subramanya, R. (1995). A fully nonlinear Boussinesq model for surface waves. Part. 1. Highly nonlinear unsteady waves. Journal of Fluid Mechanics, 294, 71-92 https://doi.org/10.1017/S0022112095002813
  16. Whitford, D.J. and Thornton, E.B. (1996). Bed shear stress coefficients for longshore currents over a barred profile. Coastal Engineering, 27, 243-262 https://doi.org/10.1016/0378-3839(96)00005-1
  17. Yoon, S.B. (1987). Propagation of shallow-water waves over slowly varying depth and currents. Ph.D. Thesis, Cornell University, Ithaca, NY