• Title/Summary/Keyword: 비선형파랑변형

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A Numerical Model of PCGM for Mild Slope Equation (완경사 파랑식에 대한 PCGM 수치모형)

  • 서승남;연영진
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.164-173
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    • 1994
  • A numerical model to solve mild slope equation is developed by use of a preconditioned conjugate gradient method (PCGM). In the present paper. accurate boundary conditions and a better preconditioner are employed which are improved from the existing method of Panchang et al. (1991). Computational procedures are focused on weakly nonlinear waves, and emerged problems to make a more accurate model are discussed. The results of model are tested against laboratory results of both circular and elliptic shoals. Model results of wave amplitude show excellent agreement with laboratory data and thes thus model can be used as a powerful tool to calculate wave transformation in shallow waters with complex bathymetry.

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Nonlinear Analysis of Superstructures on Floating Structures (플로팅 구조물의 상부구조에 대한 비선형해석)

  • Song, Hwa-Cheol;Park, Soo-Yong;Jung, Keun-Hoo;Kim, Se-Cheol;Lee, Eun-Suk
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.118-121
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    • 2010
  • 초대형 플로팅 구조물의 상부구조는 육상 구조물과는 달리 파랑하중의 영향을 받기 때문에 하부부체의 변형에 의해서 상부구조물에는 부가 모멘트가 크게 발생한다. 이와 같은 부가모멘트의 저감을 위하여 보-기둥 접합부에 반강접의 도입에 관한 연구와 반강접의 비선형 거동을 고려한 상부구조물의 연구는 초기단계이다. 본 연구에서는 초대형 플로팅 구조물의 상부구조물에 정적하중과 진폭의 크기가 다른 파랑하중이 동시에 작용할 경우 강접 골조와 부분적으로 반강접 접합부가 사용된 상부구조체에 대한 1, 2차 소성해석을 수행하였다. 접합부는 웨브에 더블 앵글을 가진 상하 앵글(TSD)접합을 적용하였으며 상부 구조물에 파랑하중이 작용할 경우 소성거동에 따른 응답특성에 대하여 분석하였다.

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Derivation of Weakly Nonlinear Wave Equations with Higher-Order Bottom Effects (고차수심효과를 가지는 비선형 파동방정식의 유도)

  • 윤성범;최준우;이종인
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2000.09a
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    • pp.95-102
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    • 2000
  • 선형분산을 가정한 Berkhoff(1972)의 완경사방정식은 단일주기파(monochromaticwave)에 대해 심해로부터 천해까지 수심에 제한 없이 파랑의 변형을 해석할 수 있으나 식의 유도과정 중 바닥이 완경사(|∇h|/kh≪1) 라는 가정을 도입함으로써, 바닥곡률항(∇$^2$h)과 바닥경사의 제곱항(|∇h|$^2$)으로 대표되는 고차수심효과를 무시하였다. (중략)

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Wave Attenuation due to Water-Front Vegetation (수변식생에 의한 파랑감쇠 특성)

  • Lee, Seong-Dae
    • Journal of Navigation and Port Research
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    • v.32 no.5
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    • pp.341-347
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    • 2008
  • Recently, it has been widely recognized that water-front and coastal vegetations may have great value in supporting fisheries, protecting from wave attack, stabilizing the sea bed and maintaining good scenery. Hydrodynamic factors playa major role in the functions of water quality and ecosystems. However, the studies on numerical and analytical process of wave propagation are few and far behind compared to those on the hydrodynamic roles of water-front vegetations. In this study, in order to express wave attenuation into water-front vegetation, a numerical model based on the unsteady mild slope equation is developed. This result is compared with an analytical model for describing the wave attenuation by assumed simple long wave condition. Based on both the analytical and numerical results, the physical properties of the wave attenuation are examined under various wave, geometric and vegetation conditions. Through comparisons between the analytical and numerical results, the effects of the vegetation properties, wave properties and model parameters such as the momentum exchange coefficient have been clarified.

Analysis of Wave Transformation and Velocity Fields Including Wave Breaking due to the Permeable Submerged Breakwaters (수중투과성구조물에 의한 쇄파를 수반한 파랑변형 및 유속장 해석)

  • 김도삼;이광호;김정수
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.14 no.2
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    • pp.171-181
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    • 2002
  • Among various numerical methods of wave transformations including wave breaking by structure, models using VOF(Volume Of Fluid) method to trace free surface are getting into the spotlight recently. In order to analyze wave transformations and velocity of the wave fields due to the permeable submerged breakwater(PSB), This study applied VOF method to the two-dimensional wave channel installed line-source to generate waves and added dissipation zone to offer a non-reflective boundary. Hydraulic experiments was performed to obtain the application of two-dimensional numerical wave channel. The results of numerical experiments using the two-dimensional wave channel agree well with the experimental data. It was shown that vortices are formed behind the PSB, and in case of the 2-rowed PSB they also are occurred in between PSBs, strongly non-linear waves are developed on the crown of the PSB, and the direction of velocities in porous media is determined by the shape of free surface.

Experimental Study for Evaluation of Non-Linear Dispersive Wave Model in Shallow Water (천해역 비선형분산파랑 모델의 평가를 위한 수리 실험 연구)

  • 이중우;신승호
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.4
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    • pp.189-196
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    • 1999
  • In order to verify a numerical model for the calculation of wave motion around an offshore barrier in shallow water, laboratory physical experiments are necessary. In this study, sample experiments are carried out on the wave and wave induced current fields due to a sloping bottom topography and on that due to an isolated structure from the coastline. The water body is divided into 4 levels, in which the current tracking floaters are deployed to measure the wave induced currents. Data measurement was continued using the limited wave gauges and current tracking floaters including a video camera from the top. The wave heights for the preselected surface and time-averaged velocity distributions at each level were measured in detail. The distribution of wave and current fields was analyzed precisely combining the whole measured laboratory data. Moreover, comprehensive analyses were carried out on non-linearity of wave transformation in terms of skewness and atiltness.

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Systematic Approach for Predicting Irregular Wave Transformation (불규칙파랑의 계통적 취급수법)

  • 권정곤
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.2 no.2
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    • pp.83-95
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    • 1990
  • It can be assumed that the ocean waves consist of many independent pure sinusoidal components which progress in arbitrary directions. To analyze irregular sea waves, both the spectrum method and the individual wave method have been used. The spectral approach is valid in the region where the water depth is deep and the linear property of velocity distribution is predominent, while the individual wave analysis method in the region where the water depth is shallow and the wave nonlinearity is significant. Therefore, to investigate the irregular wave transformation from the deep water to the shallow water region, it is necessary to relate the frequency spectrum which is estimated by the spectrum analysis method to the i oint probability distribution of wave height, period and direction affected by the boundary condition of the individual wave analysis method. It also becomes important to define the region where both methods can be applied. This study is a part of investigation to establish a systematic approach for analyzing the irregular wave transformation. The region where the spectral approach can be applied is discussed by earring out the experiments on the irregular wave transformation in the two-dimensional wave tank together with the numerical simulation. The applicability of the individual wave analysis method for predicting irregular wave transformation including wave shoaling and breaking and the relation between frequency spectrum and joint probability distribution of wave height and period are also investigated through the laboratory experiment and numerical simualtion.

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A Study on the Extension of WAM for Shallow Water (WAM모형의 천해역 확장에 관한 연구)

  • Chun, Je-Ho;Ahn, Kyung-Mo;Yoon, Jong-Tae
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.2
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    • pp.148-156
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    • 2008
  • WAM(WAve Model), deep water wave model has been extended to the region of shallow water, incorporating wave breaking, and triad wave interaction. To verify this model, two numerical simulations for hydraulic experiments of Chawla et al.(1998) and Beji and Battjes(1993) are performed. The computed results show good agreements with measured ones. To identify its applicability to real sea, it is applied to storm wave modelling for typhoon Maemi. Numerical results compared with measured ones at Geoje, Busan and Ulsan show reasonable wave height estimations.

Inhomogeneous Helmholtz equation for Water Waves on Variable Depth (비균질 Helmholtz 방정식을 이용한 변동 수심에서의 파랑변형)

  • Kim, Hyo-Seob;Jang, Chang-Hwan
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.13 no.3
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    • pp.174-180
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    • 2010
  • The inhomogeneous Helmholtz equation is introduced for variable water depth and potential function and separation of variables are introduced for the derivation. Only harmonic wave motions are considered. The governing equation composed of the potential function for irrotational flow is directly applied to the still water level, and the inhomogeneous Helmholtz equation for variable water depth is obtained. By introducing the wave amplitude and wave phase gradient the governing equation with complex potential function is transformed into two equations of real variables. The transformed equations are the first and second-order ordinary differential equations, respectively, and can be solved in a forward marching manner when proper boundary values are supplied, i.e. the wave amplitude, the wave amplitude gradient, and the wave phase gradient at a side boundary. Simple spatially-centered finite difference numerical schemes are adopted to solve the present set of equations. The equation set is applied to two test cases, Booij’ inclined plane slope profile, and Bragg’ wavy bed profile. The present equations set is satisfactorily verified against other theories including the full linear equation, Massel's modified mild-slope equation, and Berkhoff's mild-slope equation etc.

Development of Structural Analysis System of Bow Flare Structure(2) - Prediction of Wave Impact Load Area - (선수 구조부 구조해석 시스템 개발(2) - 파랑충격하중 면적의 추정 -)

  • S.G. Lee;J.W. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.4
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    • pp.87-94
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    • 1999
  • Empirical design is still used to avoid a structural damage because impact phenomenon and structural behaviour due to wave impact load can not examined accurately. The damage due to wave impact load is largely affected by impact pressure impulse and impact load area. The objective of this study is, as the second step, to develop an efficient scantling program of bow flare structure, and to predict its impact load area by comparing maximum dented deformations at center of idealized panel structure model of bow flare structure of 300k DWT VLCC using LS/DYNA3D code, which will be used for its verification of dynamic structural analysis, as the next step. Through this study, the impact load area was estimated as $1.5s{\times}1.5s$ stiffener space(s) in the case of panel with stiffeners and as $2.5s{\times}2.5s$, with stringers, under impact pressure curve with peak height 6.5MPa, tail height 1.0MPa, and duration time 5.0msec.

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