Journal of Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회논문집)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
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Spatial Variation of Diffracting Wave Amplitudes on the Front and Lee Sides of the Semi-Infinite Breakwater

반무한방파제 전면과 후면에서 회절파의 공간적인 변화

  • Jung, Jae-Sang (Rural Research Institute, Korea Rural Community Corporation) ;
  • Lee, Changhoon (Dept. of Civil and Environ. Eng., Sejong Univ.)
  • 정재상 (한국농어촌공사 농어촌연구원) ;
  • 이창훈 (세종대학교 건설환경공학과)
  • Received : 2020.07.31
  • Accepted : 2020.08.13
  • Published : 2020.08.31
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Abstract

Spatial variation of diffracting wave amplitudes along a semi-infinite breakwater is investigated using the analytical solution of Penney and Price (1952) for wave diffraction. On the front side of the breakwater, the fluctuation of wave amplitudes due to diffracting waves would cause a wave force greater than that of superposed incident and reflected waves. The diffracting wave phase varies in circular shape from the breakwater tip of (x, y) = (0, 0) whereas the incident and reflected wave phases vary in planar shape. So, the total wave amplitude of the incident (or reflected) waves and the diffracting waves would fluctuate at a position away from the energy discontinuity line. The position (x, y) = (0, y) on the front and lee sides of the breakwater is at a distance y(π/2 - β) of the point on the energy discontinuity line along the diffracting wave crest line. The degree of reduction of the diffraction wave energy is proportional to the distance from the point on the energy discontinuity line along the diffracting wave crest line. Therefore, the diffracting wave amplitudes on the front and lee sides of the breakwater would be inversely proportional to the square root of y(π/2 - β).

반무한방파제 전면 및 후면에서 회절파 진폭의 공간적인 변화에 대해 Penney and Price(1952)의 해석해를 활용하여 분석하였다. 방파제 전면에 회절파의 영향으로 입사파와 반사파를 합친 중복파의 파력보다 더 큰 파력이 발생한다. 좀 자세히 알아보면, 회절파는 방파제의 선단 (x, y) = (0, 0)을 기존으로 동심원 형태로 위상 변화가 발생하는 반면 입사파와 반사파는 평면 형태로 위상 변화가 발생한다. 따라서, 입사파(또는 반사파)와 회절파가 중첩에 의한 파의 진폭은 에너지 불연속선에서부터 떨어진 곳에서는 항상 요동치게 된다. 방파제 전면 및 후면 (x, y) = (0, y) 지점은 회절파 파봉선을 따라 에너지 불연속선 지점에서부터 y(π/2 - β) 만큼 떨어져 있다. 회절파 에너지의 감쇠의 정도는 회절파 파봉선을 따라 에너지 불연속선 지점에서 떨어진 거리에 비례한다. 따라서, 방파제 전면 및 후면(x, y) = (0, y) 지점에서의 회절파의 진폭은 y(π/2 - β)의 제곱근에 반비례한다.

Keywords

References

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