• 제목/요약/키워드: Stokes wave theory

검색결과 46건 처리시간 0.024초

SPH 기법 기반의 파동수조 시뮬레이션 (SPH-Based Wave Tank Simulations)

  • 이상민;김무종;고권환;홍정욱
    • 한국전산구조공학회논문집
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    • 제34권1호
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    • pp.59-69
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    • 2021
  • 최근 친환경 에너지 개발에 대한 관심의 증가로 해상 및 연안 지역에서 대규모 해양구조물들이 건설되고 있다. 해양구조물은 항상 파랑 하중에 노출되어 있으므로 구조적인 안전성을 확보하기 위해서는 파랑에 대한 정확한 이해와 분석이 필수적이다. 실해역에서 수행되는 실험은 해양파를 이해하기 위한 가장 정확한 방법이지만, 변수의 통제가 어렵고 비용과 규모 측면에서 실험이 제한되는 경우가 많다. 본 연구에서는 수치파동수조를 이용하여 다양한 조건의 파를 생성하고 및 이론식과 비교를 통해 파랑 생성 능력을 검증하였다. 입자 기반 수치해석법인 SPH(Smoothed Particle Hydrodynamics) 기법을 이용하여 3차원 수조 및 피스톤 조파기를 모델링하였으며, 반사파에 대한 영향을 최소화하기 위해 수로 끝단에 질량 가중 감쇠 영역을 설정하여 안정적인 파고 및 유속 계산이 수행될 수 있게 하였다. 목표 파랑 조건에서,상대 수심이 2 이하를 만족하는 경우 파형경사에 관계없이 파고와 유속을 계산한 결과가 이론값과 높은 정확도를 보였다. 그러나 상대수심과 파형경사의 목표값이 증가하고, 측정 위치가 멀어짐에 따라서 최대 10% 이상의 오차가 발생하였다. 수치해석을 이용하여 정확한 계산이 가능한 파랑 범위를 무차원 변수를 이용하여 제안하였으며, 차후 수치해석을 이용한 수치파동수조 검증기준과 유체-구조물 상호작용 해석분야 연구에 효과적으로 활용될 수 있다.

A Numerical Solution. Method for Two-dimensional Nonlinear Water Waves on a Plane Beach of Constant Slope

  • Lee, Young-Gill;Heo, Jae-Kyung;Jeong, Kwang-Leol;Kim, Kang-Sin
    • Journal of Ship and Ocean Technology
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    • 제8권2호
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    • pp.61-69
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    • 2004
  • Unsteady nonlinear wave motions on the free surface over a plane beach of constant slope are numerically simulated using a finite difference method in rectangular grid system. Two-dimensional Navier-Stokes equations and the continuity equation are used for the computations. Irregular leg lengths and stars are employed near the boundaries of body and free surface to satisfy the boundary conditions. Also, the free surface which consists of markers or segments is determined every time step with the satisfaction of kinematic and dynamic free surface conditions. Moreover, marker-density method is also adopted to allow plunging jets impinging on the free surface. The second-order Stokes wave theory is employed for the generation of waves on the inflow boundary. For the simulation of wave breaking phenomena, the computations are carried out with the plane beach of constant slope in surf zone. The results are compared with other existing experimental results. Agreement between the experimental data and the computation results is good.

천해역(淺海域)에서 파(波)와 흐름의 상호작용(相互作用)에 의한 파랑변형(波浪變形) (Wave Transformation with Wave-Current Interaction in Shallow Water)

  • 이정규;이종인
    • 대한토목학회논문집
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    • 제11권2호
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    • pp.77-89
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    • 1991
  • 수심(水深)이 변하고 흐름이 존재(存在)하는 곳에서 천해파(淺海波)의 파랑변형(波浪變形) 해석(解析)에는 Boussinesq방정식(方程式)에 기초(基礎)한 포물형방정식(抛物形方程式)이 이용된다. 이안류(離岸流)는 Stokes파(波) 이론(理論)의 적용한계(適用限界)를 넘어선 곳에서 발생하므로 본(本) 연구(硏究)에서는 흐름이 존재하는 천해역(淺海域)에서 적용이 가능한 비선형(非線形) 포물형방정식(抛物形方程式)으로 수심변화(水深變化)에 의한 천수현상(淺水現象)과 흐름과의 상호작용(相互作用)에 의한 파(波)의 굴절(屈折) 및 회절현상(回折現象)을 해석(解析)하였고, 흐름은 상대적(相對的)으로 강한 흐름과 약한 흐름을 발생시켜 흐름의 세기에 의한 영향(影響)에 대해 비교(比較) 검토(檢討)하였으며, 수치해석(數値解析)은 쇄파(碎波)가 일어나기 전까지 수행(遂行)하였다.

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Seismic and vibration mitigation for the A-type offshore template platform system

  • Lee, Hsien Hua
    • Structural Engineering and Mechanics
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    • 제6권3호
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    • pp.347-362
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    • 1998
  • In this study an improved design method for the traditional A-type(or V-type) offshore template platform system was proposed to mitigate the vibration induced by the marine environmental loadings and the strong ground motions of earthquakes. A newly developed material model was combined into the structural system and then a nonlinear dynamic analysis in the time domain was carried out. The analysis was focused on the displacement and rotation induced by the input wave forces and ground motions, and the mitigation effect for these responses was evaluated when the viscoelastic damping devices were applied. The wave forces exerted on the offshore structures are based on Stokes fifth-order wave theory and Morison equation for small body. A step by step integration method was modified and used in the nonlinear analysis. It was found that the new design approach enhanced with viscoelastic dampers was efficient on the vibration mitigation for the structural system subjected to both the wave motion and the strong ground motion.

잠수구조물에 의한 비선형파랑변형에 관한 연구 (Nonlinear Wave Transformation of a Submerged Coastal Structure)

  • 김원규;강인식;곽기석;김도삼
    • 한국항만학회지
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    • 제8권1호
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    • pp.41-47
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    • 1994
  • The present paper discusses the nonlinear wave deformation due to a submerged coastal structure. Theory is based on the frequency-domain method using the third order perturbation and boundary integral method. Theoretical development to the second order perturbation and boundary integral method. Theoretical development to the second order Stokes wave for a bottom-seated submerged breakwater to the sea floor is newly expanded to the third order for a submerged coastal structure shown in Figure 1. Validity is demonstrated by comparing numerical results with the experimental ones of a rectangular air chamber structure, which has the same dimensions as that of this study. Nonlinear waves become larger and larger with wave propagation above the crown of the structure, and are transmitted to the onshore side of the structure. These characteristics are shown greatly as the increment of Ursell number on the structure. The total water profile depends largely on the phase lag among the first, second and third order component waves.

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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.

고립파(지진해일)의 파형분포가 불투과 경사면의 처오름에 미치는 영향 (Effects of Waveform Distribution of Tsunami-Like Solitary Wave on Run-up on Impermeable Slope)

  • 이우동;김정욱;허동수
    • 한국해양공학회지
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    • 제33권1호
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    • pp.76-84
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    • 2019
  • For decades, solitary waves have commonly been used to simulate tsunami conditions in numerical studies. However, the main component of a tsunami waveform acts at completely different spatial and temporal distributions than a solitary waveform. Thus, this study applied a 2-D numerical wave tank that included a non-reflected tsunami generation system based on Navier-Stokes equations (LES-WASS-2D) to directly simulate the run-up of a tsunami-like solitary wave on a slope. First, the waveform and velocity due to the virtual depth factor were applied to the numerical wave tank to generate a tsunami, which made it possible to generate the wide waveform of a tsunami, which was not reproduced with the existing solitary wave approximation theory. Then, to validate the applied numerical model, the validity and effectiveness of the numerical wave tank were verified by comparing the results with the results of a laboratory experiment on a tsunami run-up on a smooth impermeable 1:19.85 slope. Using the numerical results, the run-up characteristics due to a tsunami-like solitary wave on an impermeable slope were also discussed in relation to the volume ratio. The maximum run-up heights increased with the ratio of the tsunami waveform. Therefore, the tsunami run-up is highly likely to be underestimated compared to a real tsunami if the solitary wave of the approximation theory is applied in a tsunami simulation in a coastal region.

저면난류경계층(底面亂流境界層)의 저질이동특성(底質移動特性) (On the Sediment Transport Characteristics of the Bottom Turbulent Boundary Layer)

  • 김남형;키요시 타키카와
    • 대한토목학회논문집
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    • 제13권2호
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    • pp.267-277
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    • 1993
  • 본 논문에서는 유한요소법을 2차원 난류경계층에 적용하였으며, 점성유체의 시간의존 비압축성 운동을 시간과 압력장(場)에서 Navier-Stokes방정식과 vorticity방정식을 이용하여 정식 화하였다. 수치계산방법은 Galerkin방법에 기초하였으며, 난류 경계층의 eddy kinematic viscosity에 대해서는 Prandtl의 혼합거리이론을 도입하였다. 난류 경계층에서 파동에 의한 임의 저면에서 저질의 이동을 수치계산하였다. 유한 요소법에 의해 얻어진 결과는 진동흐름에 의한 경계층과 파동에 의한 경계층에서의 특성의 차이를 분명히 하였다.

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N개의 원형 실린더 주위에서의 해저면 토사이동 (Bottom Mass Transport Considering the Interaction of Waves with an Array of N Circular Cylinders)

  • 조일형;홍사영
    • 한국항만학회지
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    • 제9권1호
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    • pp.57-63
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    • 1995
  • In this paper we examine the mass transport within the boundary layer near the sea bottom. The fluid domain is seperated into inner and outer region of boundary layers. In outer region, the wave field is assumed to be inviscid and irrotational. When the incident waves enter the arrays of circular cylinders, the scattering of water waves by an array of N bottom mounted vertical circular cylinders is solved using the method proposed by Linton & Evans under the potential theory. In inner region, the Navier-Stokes equation must be satisfied with boundary conditions at the boundary later and bottom is to be represented by the sum of the Eulerian mean drift and the Stokes' drift.

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비선형(非線形) 조파이론(造波理論) (Nonlinear Theory for Laboratory Wave Generation)

  • 김태인
    • 대한토목학회논문집
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    • 제12권4_1호
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    • pp.137-150
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    • 1992
  • 가변흘수(可變吃水)를 갖는 힌지형(型) 조파기(造波機)에 의한 조파현상(造波現像)을 다룬 2차해(次解)가 제시(提示)되었다. 피스톤형(型) 조파기(造波機)의 경우도 무한흘수(無限吃水)를 갖는 힌지형(型) 조파기(造波機)의 경우로서 함께 취급되었다. 2차해는 평면조파판(平面造波板)에 의해 생성(生成)되는 파(波)가 서로 다른 파속(波速)을 갖는 스토우크스 2차파(次波)와 2차자유진행파(次自由進行波)로 구성(構成)됨을 보여준다. 2차(次) 자유진행파(自由進行波)의 진폭(振幅)은 천해영역(淺海領域)에서 상대적으로 크고, 심해영역(深海領域)에서는 스토우크파(波) 진폭(振幅)의 10% 이내로 감소(減少)한다. 깊은 흘수(吃水)를 갖는 (수로(水路)바닥 가까이 힌지점(点)에 있는) 조파기(造波機)일수록 천해(淺海)와 중간수심(中間水深) 영역(領域)에서 진폭(振幅)이 작은 자유진행파(自由進行波)를 생성(生成)하나, 심해역(深海域)에서는 그와 반대의 현상(現像)을 보인다.

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