A Numerical Study of Wave Transformation on a Permeable Structure Considering Porous Media Flow

투수층의 흐름을 고려한 투수성 구조물의 파랑변형에 관한 수치적 해석

  • Kim, In-Chul (Division of Architecture and Civil Engineering, Dongseo University)
  • 김인철 (동서대학교 건축.토목시스템공학부)
  • Published : 2006.12.30

Abstract

In recent years, there's been strong demand for seawalls that havea gentle slope and permeability that serveswater affinity and disaster prevention from wave attack. The aim of this study is to examine wave transformation, including wave run-up that propagates on the coastal structures. A numerical model based on the weak nonlinear dispersive Boussinesq equation, together with the unsteady nonlinear Darcy law for fluid motion in permeable layer, is developed. The applicability of this numerical model is examined through Deguchi and Moriwaki's hydraulic model test on the permeable slopes. From this study, it is found that the proposed numerical model can predict wave transformation and run-up on the gentle slope with a permeable layer, but can't show accurate results for slopes steeper than about 1:10.

Keywords

References

  1. 김인철, 정종수, 김도삼 (1999). '투수성 사면에서의 처오름 해석', 1999년도 학술발표회 논문집(II), 대한토목학회, pp 9-12
  2. Deguchi, I. and Moriwaki, K. (1996). 'Analysis of Wave Runup on the Coastal Structures with a Permeable Slope', Proc. of Coastal Engrg, JSCE, Vol 43, pp 136-140
  3. Engquist, B. and Majda, A. (1977). 'Absorbing Boundary Conditions for the Numerical Simulation of Waves', Math. Comp., Vol 31, pp 629-651 https://doi.org/10.2307/2005997
  4. Israeli, M. and Orszag, S.A. (1981). 'Approximation of Radiation Boundary Condition',. J. of Computational Physics., Vol 41, pp 115-135 https://doi.org/10.1016/0021-9991(81)90082-6
  5. Kioka, W., Kai, H. and Hiraoka, S. (1994). 'Applicability of the Modified Boussinesq over Submerged Porous Breakwater', Proc. of Coastal Engrg, JSCE, Vol 41, pp 711-715
  6. Kobayashi, N. and Wurjuanto, A. (1990). 'Numerical Model for Wave on Rough Permeable Slope', J. of Coastal Research, Special Issue., No 7, pp 149-166
  7. Nwogu, O. (1993). 'Alternative Form of Boussinseq Equations for Nearshore Wave Propagation', J. of Waterway, Port, Coast. and Ocean Engrg., Vol 119, pp 618-638 https://doi.org/10.1061/(ASCE)0733-950X(1993)119:6(618)
  8. Peregrine, D.H. (1967). 'Long Waves on a Beach'. J. of Fluid Mech., Vol 27, pp 815-827 https://doi.org/10.1017/S0022112067002605
  9. Sollit, C.K. and Cross R.H. (1972). 'Wave Transmission through Permeable Break-water', Proc. 13th Int. Conf. Coastal Engrg., ASCE, pp. 1827-1846
  10. Wei, G. and Kirby, J.T. (1995). 'A Time-dependent Numerical Code for the Extended Boussinesq Equations', J. of Waterway, Port, Coastal and Ocean Engrg., Vol 121, No 5, pp 251-261 https://doi.org/10.1061/(ASCE)0733-950X(1995)121:5(251)
  11. Zeit, J.A. (1991). 'The Run-up of Nonbreaking and Breaking Solitary Waves', Coastal Engrg., Vol 15, pp 205-246 https://doi.org/10.1016/0378-3839(91)90003-Y