• 제목/요약/키워드: linear water wave theory

검색결과 85건 처리시간 0.02초

직립 슬릿판에 의한 반사율과 투과율 해석 (On an Analysis of Reflection and Transmission Coefficients by a Vertical Slit Plate)

  • 조일형;김남형
    • 한국해양공학회지
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    • 제16권3호
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    • pp.1-7
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    • 2002
  • In this paper, a numerical model to analyze the performance of a vertical slit-type wave absorber is developed under the assumption of inviscid water waves. The formulation combines the linear potential theory with a semi-empirical description of the eddy-shedding at a slit-type wave absorber. We investigated the reflection coefficients over a wide frequency range for a vertical slit-type wave absorber both with and without a solid rear wall. Model test was conducted at KRISO' s two dimensional wave tank to validate the theoretical results. It is found that the agreement between theoretical results and experimental data is surprisingly good. We found that the wave absorbing system using a vertical slit plate has sufficient potentials for breakwaters for ocean development.

해저지형 변화에 따른 파랑의 수치해석(II) (Numerical Analysis of Wave Deformation with Sea Bottom Variation(II))

  • 김성덕;이성대
    • 물과 미래
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    • 제20권1호
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    • pp.49-54
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    • 1987
  • 일정수심에 해역에 주기적인 파장의 사련이 있는 겨우 파의 반사특성을 경계요소법의 선형요소에 의해 해석하였다. 파랑은 2차원 선형파 이론으로부터 해석하였으며, 입사파 방향은 사련상에 임의방향 (직각입사 또는 경사입사)으로 진행한다고 가정하였다. 본 계산의 신뢰도를 검증하기 위하여 기존의 실험적, 이론적 결과 및 수치결과와 각각비교하였다. 직각입사파에 대한 본 수치계산 결과, 사련의 파장이 수면파장의 1/2인 경우에 발생하는 Bragg공진반사가 잘 예측되었다.

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경계요소법을 이용한 파역의 수치해석 (NUMERICAL ANALYSIS OF WAVE FORCES USING BOUNDARY ELEMENT METHOD)

  • 김성덕;이상배
    • 물과 미래
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    • 제20권4호
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    • pp.249-256
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    • 1987
  • 유한수심의 해역중에 잠겨있는 고정된 2차원 구조물에 작용하는 파력을 경계요소법의 선형요소에 의해 해석하였다. 파력은 2차원 선형과 이론으로부터 해석하였으며, 입사파 방향은 무한히 긴 구조물의 직각방향으로 진행한다고 가정하였다. 본 연구에서는 바닥위에 놓여있는 반원 및 원형 단면 송유관, 수중에 잠겨있는 단면 송유관 그리고 임의 형상의 잠제에 작용하는 파력에 관해 해석하였다. 본 계산의 신뢰도를 검증하기 위하여 기존의 실험적, 이론적 결과 및 수치결과와 각각 비교하였다.

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수치 파동 수조를 이용한 비선형파의 파형변화와 속도분포 해석 (Spatial Modulation of Nonlinear Waves and Their Kinematics using a Numerical Wave Tank)

  • 구원철;최가람
    • 한국해양공학회지
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    • 제23권6호
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    • pp.12-16
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    • 2009
  • In this study, the wave profiles and kinematics of highly nonlinear waves at various water depths were calculated using a 2D fully nonlinear Numerical Wave Tank (NWT). The NWT was developed based on the Boundary Element Method (BEM) with the potential theory and the mixed Eulerian-Lagrangian (MEL) time marching scheme by 4th-order Runge-Kutta time integration. The spatial variation of intermediate-depth waves along the direction of wave propagation was caused by the unintended generation of 2nd-order free waves, which were originally investigated both theoretically and experimentally by Goda (1998). These free waves were induced by the mismatch between the linear motion of wave maker and nonlinear displacement of water particles adjacent to the maker. When the 2nd-order wave maker motion was applied, the spatial modulation of the waves caused by the free waves was not observed. The respective magnitudes of the nonlinear wave components for various water depths were compared. It was found that the high-order wave components greatly increase as the water depth decreases. The wave kinematics at various locations were calculated and compared with the linear and the Stokes 2nd-order theories.

An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • 제1권3호
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    • pp.157-167
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    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

라디에이션 응력의 평가방법에 따른 평균수위변화 (Variation of Wave Set-Up/set-Down due to the Evaluation of Radiation Stress)

  • 김경호;차기욱;조재희;윤영호
    • 한국해안해양공학회지
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    • 제5권4호
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    • pp.263-270
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    • 1993
  • 일정 경사 해저면을 갖는 해안에 입사한 파가 천수변형을 거치고 쇄파하는 과정에서 발생하는 라디에이션 응력 및 평균수위 변화를 다루었다. 일반적으로 선형파동 이론에 의해 산정된 라디에이션 응력은 쇄파대내 및 그 부근에서 과대 평가되는데, 이것이 평균수위 변동의 계산치와 실험치와의 불일치의 원인이 된다. 본 연구에서는 Svendsen(1984)이 제안한 라디에이션 응력을 수정해서, 수심의 함수로 표시하고, 계산결과를 선형이론, 쇄파의 성분파고 스펙트럼에 기초한 Sawaragi(19梨) 방법 및 기왕의 실험데이타와 비교하였다. 수정된 Svendsen의 방법은 실험치와 비교적 양호한 일치를 보여 주었다.

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해저지형변화에 따른 파랑의 수치해석(I) (Numerical Analysis of Wave Deformation with Sea Bottom Variation (I))

  • 김성득;이성대
    • 물과 미래
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    • 제19권3호
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    • pp.259-266
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    • 1986
  • 해저기형 변화가 있는 경우에 파랑의 변형(파의 반사 및 전달계수)을 선형요소를 사용한 경계요소법에 의해 수치해석하였다. 파랑은 2차원 선형파 이론으로부터 해석하였으며, 입사파 방향은 해저바닥상에 임의방향(직각입사 혹은 경사입사)으로 진행한다고 가정하였다. 본 계산의 신뢰도를 검증하기 위하여 다음과 같은 여러 경우에 대한 기존 연구자들의 결과와 비교하였다. (1) 단형이나 경사단락을 가지는 경우 (2) 불투과성 잠제가 있는 경우 (3) 해구가 있는 경우

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고정 부유 구조물에 의한 항만정온도의 제어효과 (The Effect of Wave Control in the Harbor by the Fixed Floating Structure)

  • 김한필;이중우
    • 한국항만학회지
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    • 제7권1호
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    • pp.79-88
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    • 1993
  • This study deals with the case of a fixed floating structure(FFS) at the mouth of a rectangular harbor under the action of waves represented by the linear wave theory. Modified forms of the mild-slope equation is applied to the propagation of regular wave over constant water depth. The model is extended to include bottom friction and boundary absorption. A hybrid element approximation is used for calculation of linear wave oscillation in and near coastal harbor. Modification of the model was necessary for the FFS. For the conditions tested, the results of laboratory experiments by Ippen and Goda(1963), and Lee (1969) are compared with the calculated one from this model. The cases of flat cylinderical structures, both fixed and floating, were taken to be in an intermediate water depth.

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Diffraction of water waves by an array of vertical barriers and heterogeneous bottom

  • Mondal, R.;Alam, Md. Mahbub
    • Wind and Structures
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    • 제29권1호
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    • pp.33-41
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    • 2019
  • The interaction of head waves with an infinite row of identical, equally spaced, rectangular breakwaters is investigated in the presence of uneven bottom topography. Using linear water wave theory and matched eigenfunction expansion method, the boundary value problem is transformed into a system of linear algebraic equations which are numerically solved to know the velocity potentials completely. Utilizing this method, reflected and transmitted wave energy are computed for different physical parameters along with the wave field in the vicinity of breakwaters. It is observed that the wave field becomes more complicated when the incoming wavelength becomes smaller than the channel width. A critical ratio of the gap width to the channel width, corresponding to the inflection point of the transmitted energy variation, is identified for which 1/3 of the total energy is transmitted. Similarly, depending on the incident wavelength, there is a critical breakwater width for which a minimum energy is transmitted. Further, the accuracy of the computed results is verified by using the derived energy relation.

천수에서 2차원 수치파 수조에 대한 계산 (A Numerical Study on 2-Dimensuional Tank with Shallow Draft)

  • 임춘규
    • 한국해양공학회지
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    • 제14권1호
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    • pp.1-5
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    • 2000
  • A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.

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