• Title/Summary/Keyword: Nonlinear waves

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대양에서의 거대파랑 출현 특성과 발생 기구에 관한 연구 (A Study of the Appearance Characteristics and Generation Mechanism of Giant Waves)

  • 신승호;홍기용
    • 한국항해항만학회지
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    • 제30권3호
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    • pp.181-187
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    • 2006
  • 선형파 이론에 의한 파랑스펙트럼 분포에 의해서는 30m 크기의 파랑은 현실적으로 거의 발생 불가능하다고 인식되어 왔다. 그러나 최근의 위성 영상을 이용한 조사에 의해 3주간의 기간 동안 25m 이상의 거대파가 10개 이상 관측됨에 따라 실해역에서 빈번히 마주칠 수 있는 현상임이 입증되었으며 이에 따라 지금까지 원인 불명으로 치부되어 왔던 많은 해양 재난이 거대파에 의해 발생했던 것으로 추정되고 있다. 거대파의 발생 원인으로는 파군 형성과 관련한 파고분포 특성의 변화, 전파하는 파군의 비선형 공명간섭 등이 제기되고 있으나, 그 출현의 복잡성과 자료의 부족 등으로 아직 명확하게 해명되지 못하고 있다. 본 연구에서는 실해역에서 발생하는 거대파의 실태 및 선형 및 비선형 파랑집중 이론에 근거한 거대파 발생 기구를 고찰하였으며, 비선형 파랑전파를 모사할 수 있는 수치모형을 개발하여 비선형 파랑 집중에 의한 거대 파랑의 형성을 모사하였다.

Numerical Simulations of Breaking Waves above a Two-Dimensional Submerged Circular Cylinder

  • Kim, Seung-Nam;Lee, Young-Gill
    • Journal of Ship and Ocean Technology
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    • 제5권2호
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    • pp.50-61
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    • 2001
  • In this paper, nonlinear interactions between water waves and a horizontally submerged circular cylinder are numerically simulated. In this case, the nonlinear interactions between them generated a wave breaking phenomenon. The wave breaking phenomenon plays an important role in the wave farce. Negative drifting forces are raised at shallow submerged cylinders under waves because of the wave breaking phenomenon. For the numerical simulation, a finite difference method based on the unsteady incompressible Navier-Stokes equations and the continuity equation is adopted in the rectangular grid system. The free surface is simulated with a computational simulation method of two-layer flow by using marker density. The results are compared with some existing computational and experimental results.

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시간영역에서 인장계류식 해양구조물의 비선형 운동응답 해석 (Analysis of the Nonlinear Motions of a Tension Leg Platform in Time Domain)

  • 이창호
    • 수산해양기술연구
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    • 제37권4호
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    • pp.313-320
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    • 2001
  • In the presence of incident waves with different frequencies, there are second order sum and difference frequency wane exciting forces due to the nonlinearty of the incident waves. Although the magnitudes of these nonlinear forces are small, they act at sum and difference frequencies away from those of the incident waves. So, the second order sum and difference frequency wane loads occurring close to the natural frequencies of TLPs often give greater contributions to high and low frequency resonant responses. The components of the second order forces which depend on first order quantities have been evaluated using the three dimensional source distribution method. The numerical results of time domain motion analysis for the nonlinear wave exciting forces in regular waves are compared with the numerical ones of frequency domain analysis. The results of comparison confirmed the validity of the proposed approach.

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해저구조물에 대한 비선형분산파의 변형 (Deformation of Non-linear Dispersive Wave over the Submerged Structure)

  • 박동진;이중우
    • 한국항만학회지
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    • 제12권1호
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    • pp.75-86
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    • 1998
  • To design a coastal structure in the nearshore region, engineers must have means to estimate wave climate. Waves, approaching the surf zone from offshore, experience changes caused by combined effects of bathymetric variations, interference of man-made structure, and nonlinear interactions among wave trains. This paper has attempted to find out the effects of two of the more subtle phenomena involving nonlinear shallow water waves, amplitude dispersion and secondary wave generation. Boussinesq-type equations can be used to model the nonlinear transformation of surface waves in shallow water due to effect of shoaling, refraction, diffraction, and reflection. In this paper, generalized Boussinesq equations under the complex bottom condition is derived using the depth averaged velocity with the series expansion of the velocity potential as a product of powers of the depth of flow. A time stepping finite difference method is used to solve the derived equation. Numerical results are compared to hydraulic model results. The result with the non-linear dispersive wave equation can describe an interesting transformation a sinusoidal wave to one with a cnoidal aspect of a rapid degradation into modulated high frequency waves and transient secondary waves in an intermediate region. The amplitude dispersion of the primary wave crest results in a convex wave front after passing through the shoal and the secondary waves generated by the shoal diffracted in a radial manner into surrounding waters.

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비선형 선박운동을 고려한 대파고 파랑 중 조종성능에 대한 연구 (Effects on Nonlinear Ship Motions on Ship Maneuvering in Large Amplitude Waves)

  • 서민국;김용환;김경환
    • 대한조선학회논문집
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    • 제48권6호
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    • pp.516-527
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    • 2011
  • This paper considers a numerical analysis of ship maneuvering performance in the high amplitude incident waves by adopting linear and nonlinear ship motion analysis. A time-domain ship motion program is developed to solve the wave-body interaction problem with the ship slip speed and rotation, and it is coupled with a modular type 4-DOF maneuvering problem. Nonlinear Froude-Krylov and restoring forces are included to consider weakly nonlinear ship motion. The developed method is applied to observe the nonlinear ship motion and planar trajectories in maneuvering test in the presence of incident waves. The comparisons are made for S-175 containership with existing experimental data. The nonlinear computation results show a fair agreement of overall tendency in maneuvering performance. In addition, maneuvering performances with respect to wave slope is predicted and reasonable results are observed.

Development of Multidirectional Nonlinear Numerical Wave Tank by Naoe-FOAM-SJTU Solver

  • Cao, Hong-Jian;Wan, De-Cheng
    • Journal of Advanced Research in Ocean Engineering
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    • 제1권1호
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    • pp.14-24
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    • 2015
  • A three-dimensional multidirectional nonlinear numerical wave tank (NWT) based on the Navier-Stokes equations and the Finite Volume Method (FVM) is developed by using the two-phase hydrodynamic flow solver naoe-FOAM-SJTU based on the open source toolbox OpenFOAM. The free surface is capturing with the Volume Of Fluids (VOF). The directional wave including Stokes wave, solitary wave and nonlinear wave are simulated and verified. The multi-directional waves are also simulated with particular wave spectral such as JONSWAP and wave directional spreading function. The obtained numerical results show the capability of the solver to generate different type of multidirectional nonlinear waves accurately. Meanwhile, it implies that the presented NWT can easily extend to model the wave-structures interactions, which will be great help to the offshore structures design.

Development of Multidirectional Nonlinear Numerical Wave Tank by Naoe-FOAM-SJTU Solver

  • Cao, Hong-Jian;Wan, De-Cheng
    • International Journal of Ocean System Engineering
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    • 제4권1호
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    • pp.49-56
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    • 2014
  • A three-dimensional multidirectional nonlinear numerical wave tank (NWT) based on the Navier-Stokes equations and the Finite Volume Method (FVM) is developed by using the two-phase hydrodynamic flow solver naoe-FOAM-SJTU based on the open source toolbox OpenFOAM. The free surface is capturing with the Volume Of Fluids (VOF). The directional wave including Stokes wave, solitary wave and nonlinear wave are simulated and verified. The multi-directional waves are also simulated with particular wave spectral such as JONSWAP and wave directional spreading function. The obtained numerical results show the capability of the solver to generate different type of multidirectional nonlinear waves accurately. Meanwhile, it implies that the presented NWT can easily extend to model the wave-structures interactions, which will be great help to the offshore structures design.

TRAVELLING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

  • Kim, Hyunsoo;Choi, Jin Hyuk
    • Korean Journal of Mathematics
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    • 제23권1호
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    • pp.11-27
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    • 2015
  • Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a at bottom. The main objective in this paper is to apply the generalized Riccati equation mapping method for obtaining more exact traveling wave solutions of Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation. More precisely, the obtained solutions are expressed in terms of the hyperbolic, the trigonometric and the rational functional form. Solutions obtained are potentially significant for the explanation of better insight of physical aspects of the considered nonlinear physical models.

Numerical Analysis of Added Resistances of a Large Container Ship in WavesNumerical Analysis of Added Resistances of a Large Container Ship in Waves

  • Lee, Jae-Hoon;Kim, Beom-Soo;Kim, Yonghwan
    • Journal of Advanced Research in Ocean Engineering
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    • 제3권2호
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    • pp.83-101
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    • 2017
  • In this study, the added resistances of the large container ship in head and oblique seas are evaluated using a time-domain Rankine panel method. The mean forces and moments are computed by the near-field method, namely, the integration of the second-order pressure directly on the ship surface. Furthermore, a weakly nonlinear approach in which the nonlinear restoring and Froude-Krylov forces on the exact wetted surface of a ship are included in order to examine the effects of amplitudes of waves on ship motions and added resistances. The computation results for various advance speeds and heading angles are validated by comparing with the experimental data, and the validation shows reasonable consistency. Nevertheless, there exist discrepancies between the numerical and experimental results, especially for a shorter wave length, a higher advance speed, and stern quartering seas. Therefore, the accuracies of the linear and weakly nonlinear methods in the evaluation of the mean drift forces and moments are also discussed considering the characteristics of the hull such as the small incline angle of the non-wall-sided stern and the fine geometry around the high-nose bulbous bow.

천해 불규칙파에 의한 해빈변형 및 평형 (Beach Profile Change and Equilibrium due to Irregular Waves in the Nearshore Region)

  • Kang, Hyo-Jin
    • 한국해안해양공학회지
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    • 제8권1호
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    • pp.95-102
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    • 1996
  • Wells (1967)에 의해 제안된 2nd order 파랑들의 비선형 상호작용에 의한 바닥 부근에서의 유속분포에 대한 왜도(skewness)를 다시 계산하고 재평가하였다. 해안선에 수직한 방향의 퇴적물 이동 방향을 그 유속의 3차 모멘트(왜도)의 부호에 따라 알 수 있음을 보였고, 해빈이 어떤 교란을 받은 후에도 원래의 평형을 회복할 수 있는 새로운 개념의 중립수심을 제안하였다. 또한 계절적인 파랑조건의 변화에 따른 해빈단면의 변화(폭풍-너울 단면)도 종래의 단순한 파랑구배에 의한 구분보다는 파랑의 비선형 상호작용으로 설명되었다. 즉, 파랑의 비선형 작용이 강할 때에는 (폭풍파) 해빈은 침식을 받으며, 반면에 비선형작용이 약할 때에는 (너울파) 해빈은 퇴적됨을 보였다.

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