• Title/Summary/Keyword: 확장형 완경사 방정식

Search Result 17, Processing Time 0.017 seconds

Internal Generation of Waves on an Arc In A Rectangular Grid System (직사각형 격자체계에서의 원호형 내부조파)

  • Lee Chang-Hoon;Choi Hyuk-Jin;Kim Duk-Gu
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.18 no.1
    • /
    • pp.1-14
    • /
    • 2006
  • This paper presents the techniques developed using the line source method to internally generate waves on an arc in a rectangular grid system. For five different types of wave generation layouts, quantitative experiments were conducted under the following conditions: the propagation of waves on a flat bottom, the refraction and shoaling of waves on a planar slope, and the diffraction of waves to a semi-infinite breakwater. Numerical experiments were conducted using the extended mild-slope equations of Suh et al. (1997). The fifth type of wave generation layout, consisting of two parallel lines connected to a semicircle, showed the best solutions, especially for a small grid size.

Diffraction Effects of Parabolic Mild-Slope Equations in the Shadow Zone behind a Detached Breakwater (이안제 배후 차폐역에서 포물선형 완경사방정식의 회절효과)

  • 김인철
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.8 no.4
    • /
    • pp.297-304
    • /
    • 1996
  • The purpose of this study is to observe the applicability of parabolic mild-slope equations allowing relatively large angles of wave propagation based on the use of a Pade approximant or minimax approximation and also the applicability of the models with nonlinearity of diffracted waves in the shadow zone behind coastal structures. To accomplish these objectives, numerical solutions are obtained from the above parabolic models and are compared with the results from Watanabe and Maruyama's(1984) hydraulic model test on the wave field with an impermeable detached breakwater. From this study, it is found that computed wave heights increase for the nonlinear results in comparison to the linear results due to the increased diffraction effect across the geometric shadow boundary. The model with a larger aperture with respect to the principal direction was found to spread laterally to a much greater degree where spreading angle (diffraction effect) is relatively large. which causes a distortion in the overall results due to the error accumulated by the approximation of wave length.

  • PDF

Shallow Water Waves around Tokdo (독도 인근해역에서의 천해파)

  • 황연호;전인식;오병철;심재설
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
    • /
    • 2001.10a
    • /
    • pp.117-121
    • /
    • 2001
  • For the effective development or preservation of Tokdo, the natural environments in the ambient sea area should be well investigated. The wave deformations and wave breaking in the vicinity have much affected the bottom morphology of Tokdo as well as its ecological environment. The present study investigates the wave deformations and wave breaking through a numerical model. The final goal is to provide the fundamental wave data for the effective development or preservation of Tokdo in future. The extended mild slope equation was applied to Tokdo sea area for three different deep water wave conditions (S, SSE, NNE directions). The results showed that for the S and SSE directions the wave heights in the area between the east island and the west island were very low with the level of 1~2m, but for the NNE direction they appeared pretty high with 3~4m, In the sea area near the northwest of west island, the wave heights were low to be 1~3m for all three directions of deep water wave.

  • PDF

Derivation of Correct Solutions for Harbor Oscillations by Depth Discontinuity along Offshore Boundary (외해 경계에서의 수심 불연속에 의한 항만 공진의 정해 유도)

  • 정원무;박우선;서경덕
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.13 no.3
    • /
    • pp.254-261
    • /
    • 2001
  • 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.

  • PDF

Reducing Harbor Resonance by Dredging of Harbor Basin (항내 준설에 의한 항만 공진의 저감)

  • 정원무;박우선;서경덕;이광수;김지희
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.13 no.2
    • /
    • pp.122-138
    • /
    • 2001
  • It is well known that whcn waves propagating on a shallow water suddenly encounter a much deeper water they do not propagate further but are reflected. If we apply this phenomenon to a harbor by making the harbor depth much greater than outside, we could improve the harbor tranquillity by making the waves impinging into the harbor be reflected at the harbor entrance. In the present paper, first we apply the numerical models based' on the mild-slope equation and extended mild-slope equation to calculate the long wave resonances in a rectangular harbor with a very large depth discontinuity at its entrance to find that the difference between the models is almost negligible. By applying the numerical model to a realistic model harbor whose inside is entirely dredged, it is found that the effect of dredging is insignificant when the inside depth is twice the outside one but tripled inside depth significantly reduces the long waves of period of one to five minutes whieh may exert a bad influence on ship motion. Moreover, even when only a portion of the harbor basin is dredged, the cffect of dredging in the dredged area is found to be comparable to that of entire dredging, showing that the dredging of harbor basin can be a countenncasure for harbor resonance.

  • PDF

Resonant Characteristics in Rectangular Harbor with Narrow Entrance (2.Effects of Entrance Energy Loss) (개구부가 좁은 직사각형 항만의 공진 특성 (2.항입구 에너지 손실의 영향))

  • 정원무;박우선;서경덕;채장원
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.11 no.4
    • /
    • pp.216-230
    • /
    • 1999
  • A Galerkin finite element model for the analysis of harbor oscillation has been developed based on the extended mild-slope equation. Infinite elements are used to accomodate the radiation condition at infinity and joint elements to treat the matching conditions at the harbor entrance which include the energy loss due to flow separation. The numerical tests for rectangular harbors with fully or partially open entrances show that the energy loss at the harbor entrance considerably reduces the the amplification ratios at the innermost parts of the harbors and that the amplification ratios decrease considerably with increasing incident wave heights and jet lengths at the harbor entrance. Application of the model to the Gamcheon harbor show that when the incident wave amplitude is small the amplification ratios rather increase when the entrance energy loss is included than when ignored because of the shift of the resonance periods. Even though the entrance energy loss was insignificant for the measured long-period incident waves, it would be of great importance if the incident waves were large as in the attack of tsunamis. The resonance period of the Helmholtz mode at the Gamcheon Harbor was calculated to be 31 minutes, which agrees well with the measured one between 27 and 33.3 minutes. The measured resonance periods between 9.4 and 12.1 minutes and 5.2 and 6.2 minutes were also calculated by the numerical model as 10.4 minutes and 6.6 or 5.6 minutes, indicating good performance of the model. On the other hand, it was shown that a variety of oscillation modes exists in the Gamcheon Harbor and lateral resonances of considerable amplification ratios also exist at the periods of 3.6 and 1.6 minutes as in the Young-II Bay.

  • PDF