• Title/Summary/Keyword: 완경사방정식

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Infinite Element for the Analysis of Harbor Resonances (항만 부진동 해석을 위한 무한요소)

  • Park, Woo-Sun;Chun, In-Sik;Jeong, Weon-Mu
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.139-149
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    • 1994
  • In this paper, a finite element technique is applied to the prediction of the wave resonance phenomena in harbors. The mild-slope equation is used with a partial reflection boundary condition introduced to model the energy dissipating effects on the solid boundary. For an efficient modeling of the radiation condition at infinity, a new infinite element is developed. The shape function of the infinite element is derived from the asymptotic behavior of the first kind of the Hankel's function in the analytical boundary series solutions. For the computational efficiency, the system matrices of the element are constructed by performing the relevant integrations in the infinite direction analytically. Comparisons with the results from experiments and other solution methods show that the present model gives fairly good results. Numerical experiments are also carried out to determine the proper distance to the infinite elements from the mouth of the halter, which directly affect the accuracy and efficiency of the solution.

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A Parabolic Wave Model Applicable to Large Area (광역에 적용가능한 포물선형 파랑모형)

  • 이정렬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.3
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    • pp.246-255
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    • 1996
  • A mild slope equation of parabolic type is derived with the revision of the 2nd order differential term and a new approach for the application to large area is presented. The replacement with long waves can overcome the numerical difficulty due to small waves over the system of large grid sizes. No matter how long the replaced wave length is, the refraction and shoaling are maintained by toeing its own wave speed and group velocity, respectively. However, the diffraction effect is modified by means of Eikonal equation. The developed numerical model was applied to the shoal of Ito and Tanimoto (1972) to yield the satisfactory results.

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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
    • Journal of Ocean Engineering and Technology
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    • v.20 no.6 s.73
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    • pp.35-40
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    • 2006
  • 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.

Simulation of Wave-Induced Currents by Nonlinear Mild-Slope Equation and Comparison with PIV Measurements (비선형 완경사 방정식에 의한 연안류의 모의 및 PIV 관측결과와의 비교)

  • Lee, Jung-Lyul;Park, Chan-Sung;Han, Sang-Woo
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2000.09a
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    • pp.140-148
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    • 2000
  • The nearshore currents are required for the preservation of coastal areas and the more pressing environmental problems since they cause sediments to be in suspension and transport the sediments into tranquil regions. Numerical models are often used to calculate current patterns formed around man-made or naturally caused changes around the coastal area. (omitted)

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Characteristics of Harbor Resonance in Donghae Harbor (Part 2. Numerical Calculation) (동해항(東海港)의 부진동(副振動) 특성(特性)(2. 수치계산(數値計算)))

  • Jeong, Weon Mu;Jung, Kyung Tae;Chae, Jang Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.3
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    • pp.185-192
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    • 1993
  • A numerical model has been used for the prediction of wave agitations in a harbor which are induced by the intrusion and transformation of incident waves. Based on linear wave theory a mild-slope equation has been used. A partial absorbing boundary condition has been used on solid boundary. Functional has been derived following Chen and Mei(l974)'s technique based on Hybrid Element Method which uses finite discretisation in the inner region and analytical solution of Helmholtz equation in the outer region. Final simultaneous equation has been solved using the Gaussian Elimination Method. Helmholtz natural period and second peak period of seiche in Donghae Harbor coincide very well with the results from numerical calculation. Computed amplification factors show good agreement, especially when the reflection coefficient on solid boundary is 0.99, with those of measurements.

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Variation of Harbor Oscillations in Yeongil Bay (영일만 항만에서의 부진동 변화에 관한 연구)

  • Jeon Min-Su;Lee Joong-Woo;Jeong Jae-Hyun;Yang Sang-Yong;Jeong Young-Hwan
    • Journal of Navigation and Port Research
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    • v.30 no.6 s.112
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    • pp.533-539
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    • 2006
  • Today the harbor oscillation problems are the most significant factor to design harbors serving the very large ships. Large vessels moored in the elastic hawsers at the coastal harbors are often displaced due to the resonance between the long period waves and mooring system. The cargo handling may be interrupted and the hawsers may be broken, especially when the amplification becomes remarkable. The most significant harbor which is confronted with harbor oscillation problem in Korea is the Pohang New Port. Many cases of problems are being notified by the pilot association and local office of MOMAF. However, it is difficult to prevent the arrival of long waves musing oscillation within this harbor. Moreover, government already started new port plan at the mouth of Yeongil Bay without treating problems occurred in the Pohang New Port. This study deals with the variation of harbor oscillation due to the construction of 4.1km breakwater at the bay mouth and new port plan. Numerical method used are fairly standard form from the extended mild slope equation The obtained numerical results were compared with the field measurement from the previous study and this will bring a certain level of discussion and consideration of variation in the future port development.

Variation of Harbor Oscillations in Youngil Bay (영일만 항만에서의 부진동 변화에 관한 연구)

  • Jeon Min-Su;Lee Joong-Woo;Lee Seung-Chul;Jung Jae-Hyun;Hwang Ho-Dong
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2006.06b
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    • pp.199-206
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    • 2006
  • Today the harbor oscillation problems are the most significant factor to design harbors serving the very large ships. Large vessels moored in the elastic hawsers at the coastal harbors are often displaced due to the resonance between the long period waves and mooring system. The cargo handling may be interrupted and the hawsers may be broken, especially when the amplification becomes remarkable. The most significant harbor which is confronted with harbor oscillation problem in Korea is the Pohang New Port. Many cases of problems are being notified by the pilot association and local office of MOMAF. However, it is difficult to prevent the arrival of long waves causing oscillation within this harbor. Moreover, Government already started new port plan at the mouth of YoungIl Bay without treating problems occurred in the Pohang New Port. This study deals with the variation of harbor oscillation due to the construction of 4.1km breakwater at the bay mouth and new port plan. Numerical method used are fairly standard form from the extended mild slope equation. The obtained numerical results were compared with the field measurement from the previous study and this will bring a certain level of discussion and consideration of variation in the future port development.

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Review of Backwater effect period of Gaging station located at the Confluence (합류부에 위치한 수위관측소의 배수영향 기간 검토)

  • Kang, Jong Wan;Lee, Tae Hee;Lee, Ki Sung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.380-380
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    • 2021
  • 수위관측소에서는 일반적으로 실시간 수위관측을 통해 연속된 수위자료가 계측이 되고 있는 반면, 하천의 유량은 실시간 측정이 어렵기 때문에 목적에 따라 시기 또는 수위별로 측정을 실시하고 있다. 이를 통해 확보한 유량자료를 이용하여 수위-유량관계곡선(Stage-Discharge relationship)을 개발하고, 이 곡선을 이용하여 연속적인 유량자료를 제시하고 있다. 자연하천의 경우 하도의 인공적 및 자연적 변화에 따라 수위-유량관계가 변화하게 된다. 특히 합류부에 위치한 관측소는 일반적인 단일 하천에서의 수위-유량관계와 다르게 배수(Backwater)가 발생한다. 이는 등류수위의 경사보다 완경사가 발생하고 단순 수위-유량 일대일 관계를 나타내는데 어려움이 있다. 따라서 수위-유량관계곡선을 이용한 유량환산에 있어 배수 발생기간은 왜곡된 유량자료를 생산하거나 유량환산 불가기간이 발생하는 문제점이 있다. 미호천의 지류인 한천에 위치한 진천군(인산리) 관측소는 하류 약 500m에서 미호천 본류와 합류하고 있다. 또한 합류점을 기준으로 본류인 미호천 상류 약 3km에 진천군(가산교) 관측소, 하류 약 2km에 진천군(오갑교) 관측소가 위치하고 있다. 따라서 호우사상의 크기에 따라 본류 배수영향으로 진천군(인산리) 관측소 중고수위에서 수위-유량관계곡선으로 산정된 유량의 크기가 과대 산정되어 진천군(가산교)와 합산한 유량이 진천군(오갑교) 관측소 유량과 상하류 역전이 발생한다. 이러한 문제를 해결하기 위해 합류부 보조수위계 설치를 통해 배수영향을 검토 할 계획이었으나 2020년 큰 호우사상으로 보조수위계가 유실되어 본류에 위치한 진천군(가산교)와 진천군(오갑교) 관측소의 연속적인 수위, 유량, 유속 등 수리학적 인자를 이용하여 에너지 방정식으로부터 합류부 수위를 산정하고 지류인 한천의 배수영향 검토를 통해 진천군(인산리) 관측소의 배수 발생기간을 검토하였다. 따라서 수위-유량관계곡선을 이용한 유량환산에 있어서 배수에 의한 왜곡된 유량 자료를 제외하였으나 배수에 의한 유량환산 불가기간은 추후 해결해야 할 과제로 남는다.

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Characteristics of Wave Trasnformation in Gamcheon Harbor (감천항내의 파랑변형 특성)

  • 김재중;김기철;이정만
    • Journal of Korean Port Research
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    • v.13 no.2
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    • pp.399-408
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    • 1999
  • Copeland’s(1985) hyperbolic mild-slope equation including diffraction refraction and reflection in the wave field is used as a governing equation in this study. The result of Maruyama & Kajima(1985) is used to calculate wave direction and that of Watanabe & Maruyama(1986) is used as a energy dissipation formula. Numerical solutions are obtained by the Leap-Frog scheme and compared with Watanabe & Maruyama’s (1984) hydraulic experimental results and numerical simulation results for the detached breakwater. This wave model is applied to a detached breakwater and compared with Watanabe and Maruyama’s (1984) hydraulic model results to check the characteristics of reflected wave field around a detached breakwater. The distribution of wave height and we phase in front of a detached breakwater is more accurate than the Watanabe and Maruyama’s numerical results. The results from our wave model show good agreements with the others and also show nonlinear effects around the detached breakwater. This model is applied to the Gamcheon harbor of pusan. the field observations were carried out at Pusan harbor wave station in 1986-1995 and the results were accepted as a design wave condition in this study. The wave height and wave period was measured by Dong-A university at one station in the Gamcheon harbor in 1996-1997 and used as a calibration criterion. The measured data were used as input data for the numerical simulation and also compared with simulated results. The numerical simulation shows a fairly good results which considering the effect of topographic characteristics and effect of narrow entrance due to two separated breakwaters in Gamcheon harbor. The wave distribution characteristics inside Gamcheon harbor is quite different with the offshore wave direction and wave period.

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Numerical Analysis for Wave Propagation with Vegetated Coastal Area (연안해역에서의 수변식생에 의한 파란변형에 관한 수치해석)

  • LEE SEONG-DAE
    • Journal of Ocean Engineering and Technology
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    • v.20 no.1 s.68
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    • pp.63-68
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    • 2006
  • Recently, it has been widely recognized that coastal vegetations may have great value in supporting fisheries, protecting from wave attack, stabilizing the sea bed and maintaining good scenery. Hydrodynamic factors play a major role in the functions of water quality and ecosystems. However, the studies on physical and numerical process of wave propagation are few and far behind compared to those on the hydrodynamic roles of coastal vegetations. In general, Vegetation flourishing along the coastal areas attenuates the incident waves, through momentum exchange between stagnated water mass in the vegetated area and rapid mass in the un-vegetated area. This study develops a numerical model for describing the wave attenuation rate in the complex topography with the vegetation area. Based on the numerical results, the physical properties of the wave attenuation are examined under various wave, geometric and vegetation conditions. Through the comparisons of these results, the effects of the vegetation properties, wave properties and model parameters such ac the momentum exchange coefficient have been clarified.