Derivation of Correct Solutions for Harbor Oscillations by Depth Discontinuity along Offshore Boundary

외해 경계에서의 수심 불연속에 의한 항만 공진의 정해 유도

  • 정원무 (한국해양연구원 연안·항만공학연구본부) ;
  • 박우선 (한국해양연구원 연안·항만공학연구본부) ;
  • 서경덕 (서울대학교 지구환경시스템공학부 및 해양시스템공학연구소)
  • Published : 2001.09.01

Abstract

It is well known that when long waves propagate from deep ocean onto a continental shelf with a very steep continental slope, the waves reflected from the shore can not propagate offshore and are re-reflected from the continental slope so that large water level fluctuations are induced near the shore. Liu(1986) has analyzed this phenomenon by assuming a topography which has a depth discontinuity along a semicircular offshore boundary, but his solution is erroneous. In the present paper, we correct his analytical solutions for a straight shoreline and a rectangular harbor. The corrected solution is then compared with the numerical results of the Galerkin finite element model of Jeong et al.(1998), which is based on the extended mild-slope equation.

장주기파가 깊은 바다에서 수심이 급격히 감소하는 대륙사면을 지나 대륙붕 위로 전파해 들어오는 경우 육지에서 반사된 파가 대륙사면에서 외해로 전파해 나가지 못하고 재반사되어 들어오기 때문에 육지 쪽에서 커다란 수위진동을 일으키는 것은 잘 알려진 사실이다. Liu(1986)는 반원형 외해 경계를 따라 수심의 불연속이 존재하는 지형을 가정하여 이러한 현상을 해석하였으나 그의 해석해에는 오류가 있었다. 본 논문에서는 직선해안 및 직사각형 항만에 대한 Liu(1986)의 해석해를 수정하고, 이를 정 등(1998)의 확장형 완경사방정식에 기초한 Galerkin 유한요소 모형에 의한 결과와 비교하여 확인하였다.

Keywords

References

  1. 한국해안·해양공학회지 v.10 no.4 확장형 완경사방정식에 기초한 Galerkin 유한요소 모형 정원무;이길성;박우선;채장원
  2. Handbook of Mathematical Functions Abramowitz, M.;Stegun, A.
  3. Dynamic Analysis of Off-shore Structures Brebbia, C.A.;Walker, S.
  4. Rep. 59, Hydrodynamic Laboratory, MIT Wave induced oscillations in harbor:The solution for a rectangular harbor connected to the open-sea Ippen, A.T.;Goda, Y.
  5. Elsevier Oceanography Series 20 Waves in the Ocean LeBlond, P.H.;Mysak, L.A.
  6. Report KH-R-20, W,M. Keck Lab. of Hydrodynamics and Water Resources, California Inst. of Tech. Wave induced oscillations in harbors of arbitrary shape Lee, J.J.
  7. Tsunamis-Their science and engineering Effects of the continental shelf on harbor resonance Liu, P.L.-F.;K. Iida(ed.);T. Iwasaki(ed.)
  8. Coastal Engrg. v.10 Effects of depth discontinuity on harbor oscillations Liu, P.L.-F.
  9. The Applied Dynamics of Ocean Surface Waves Mei, C.C.
  10. J. Fluid Mech. v.46 Resonant response of harbours:An equivalent-circuit analysis Miles. J.W.
  11. J. Fluid Mech. v.54 Wave propagation across the continental shelf Miles. J.W.
  12. J. Fluid Mech. v.67 Helmholtz resonance of harbors Miles, J.W.;Lee, Y.K.
  13. J. Phys. Earth v.24 Scattering of long waves at the mouth of estuaries bordering on a continental shelf Momoi, T.
  14. Tsunamis-Their science and engineering The excitation of harbors by tsunamis Raichlen, F.;Lepelletier, T.G.;Tam, C,K.;K. Iida(ed.);T. Iwasaki(ed.)