• Title/Summary/Keyword: Nonlinear ocean waves

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Numerical Simulation of Breaking Waves around a Two-Dimensional Rectangular Cylinder Piercing Free Surface

  • Kim, Seung-Nam;Lee, Young-Gill
    • Journal of Ship and Ocean Technology
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    • v.5 no.4
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    • pp.29-43
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    • 2001
  • In this paper, free surface flows around an advancing two-dimensional rectangular cylinder piercing the free surface are studied using numerical and experimental methods. Especially, wave breaking phenomenon around the cylinder is treated in detail. A series of numerical simulations and experiments were performed for the purpose of comparison. For the numerical simulations, a finite difference method was adopted with a rectangular grid system, and the variation of the free surface was computed by the marker density method. The computational results are compared with the experiments. It is confirmed that the present numerical method is useful for the numerical simulation of nonlinear free surface waves around a piercing body.

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Development of Three-Dimensional Numerical Wave Tank by Using the High-Order Spectral/Boundary-Element Method -Waves Generated by a Uniformly Translating Surface Pressure (고차 스펙트럴/경계요소법을 이용한 3차원 수치 파수조의 개발-균일속도로 전진하는 표면압력에 의한 조파현상-)

  • Kim, Young-Jig;Lee, Young-Woo;Hong, Ji-Hoon
    • Journal of Ocean Engineering and Technology
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    • v.13 no.1 s.31
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    • pp.113-120
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    • 1999
  • In this paper, mathematical formulation of the high-order spectral/boundary-element method is shown. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated in time-domain. Three-dimensional waves generated by a uniformly translating suriace pressure are calculated and discussed. The obtained results are compared with others results, The comparisons show good agreements.

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Comparison of Wave Prediction and Performance Evaluation in Korea Waters based on Machine Learning

  • Heung Jin Park;Youn Joung Kang
    • Journal of Ocean Engineering and Technology
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    • v.38 no.1
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    • pp.18-29
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    • 2024
  • Waves are a complex phenomenon in marine and coastal areas, and accurate wave prediction is essential for the safety and resource management of ships at sea. In this study, three types of machine learning techniques specialized in nonlinear data processing were used to predict the waves of Korea waters. An optimized algorithm for each area is presented for performance evaluation and comparison. The optimal parameters were determined by varying the window size, and the performance was evaluated by comparing the mean absolute error (MAE). All the models showed good results when the window size was 4 or 7 d, with the gated recurrent unit (GRU) performing well in all waters. The MAE results were within 0.161 m to 0.051 m for significant wave heights and 0.491 s to 0.272 s for periods. In addition, the GRU showed higher prediction accuracy for certain data with waves greater than 3 m or 8 s, which is likely due to the number of training parameters. When conducting marine and offshore research at new locations, the results presented in this study can help ensure safety and improve work efficiency. If additional wave-related data are obtained, more accurate wave predictions will be possible.

Study on Development of Surge-Tide-Wave Coupling Numerical Model for Storm Surge Prediction (해일-조석-파랑을 결합한 폭풍해일 수치모델 개발에 관한 연구)

  • Park, Jong-Kil;Kim, Myung-Kyu;Kim, Dong-Cheol;Yoon, Jong-Sung
    • Journal of Ocean Engineering and Technology
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    • v.27 no.4
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    • pp.33-44
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    • 2013
  • IIn this study, a wave-surge-tide coupling numerical model was developed to consider nonlinear interaction. Then, this model was applied and calculations were made for a storm surge on the southeast coast. The southeast coast was damaged by typhoon "Maemi" in 2003. In this study, we used a nearshore wind wave model called SWAN (Simulating WAves Nearshore). In addition, the Meyer model was used for the typhoon model, along with an ocean circulation model called POM (Princeton Ocean Model). The wave-surge-tide coupling numerical model could calculate exact parameters when each model was changed to consider the nonlinear interaction.

A Study on the Extension of Mild Slope Equation (완경사 방정식의 확장에 관한 연구)

  • Chun, Je-Ho;Kim, Jae-Joong
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.05a
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    • pp.72-77
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    • 2003
  • In this study, Mild slope equation is extended to both of rapidly varying topography and nonlinear waves in a Hamiltonian formulation. It is shown that its linearzed form is the same as the modified mild-slope equation proposed by Kirby and Misra(1998) And assuming that the bottom slopes are very slowly, it is the equivalent with nonlinear mild-slope equation proposed by Isobe(]994) for the monochromatic wave. Using finite-difference method, it is solved numerically and verified, comparing with the results of some hydraulic experiments. A good agreement between them is shown.

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Estimation of Nonlinear Parameter in Water - saturated Sandy Sediment by using Difference Frequency Acoustic wave (수중 모래 퇴적물에서 차 주파수 음파를 이용한 비선형 변수 추정)

  • Kim Byoung-Nam;Lee Kang Il;Yoon Suk Wang;Choi Bok Kyung
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.429-432
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    • 2004
  • Nonlinear acoustic responses of water-saturated sediments are very important to understand nonlinear phenomena of gassy ocean sediments. Especially, the second harmonic, the sum and the difference frequency acoustic waves in water-saturated sediments can provide practical criteria to estimate the nonlinear parameter of gassy sediments. In this paper, the difference frequency acoustic wave in water-saturated sandy sediment was observed in a water tank experiment with a pulse transmission technique. Its pressure level was 12 dB higher than the background noise level at a maximum undistorted driving pressure of source acoustic transducer. The experimental results were compared with a theoretical estimation of the parametric acoustic array. The nonlinear parameter of water-saturated sandy sediment was also estimated as 73 with their comparison. This value can be utilized as the background information to estimate gas void fraction in the water-saturated gassy sandy sediment.

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Shoaling Characteristics of Boussinesq Models with Varying Nonlinearity (비선형 차수에 따른 Boussinesq 모형의 천수변형 특성)

  • Park, Seung-Min;Yoon, Jong-Tae
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.1
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    • pp.121-127
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    • 2008
  • Numerical experiments with weakly nonlinear MIKE21 BW module and fully nonlinear FUNWAVE model are performed to identify the nonlinear characteristics of Boussinesq models with varying nonlinearity. Generation of waves with varying amplitudes, nonlinear shoaling and wave propagation over submerged bar experiments showed the importance of nonlinear model in shallow water where nonlinearity becomes prominent. Fully nonlinear model showed the nonsymmetrical wave form more clearly and gave larger shoaling coefficients than those of weakly nonlinear model.

Experimental investigations of higher-order springing and whipping-WILS project

  • Hong, Sa Young;Kim, Byoung Wan
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.4
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    • pp.1160-1181
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    • 2014
  • Springing and whipping are becoming increasingly important considerations in ship design as container ships increase in size. In this study, the springing and whipping characteristics of a large container ship were investigated through a series of systematic model tests in waves. A multi-segmented hull model with a backbone was adopted for measurement of springing and whipping signals. A conversion method for extracting torsion springing and whipping is described in this paper for the case of an open-section backbone. Higher-order springing, higher-mode torsion responses, and the effects of linear and nonlinear springing in irregular waves are highlighted in the discussion.

Numerical prediction for the performance of a floating-type breakwater by using a two-dimensional particle method

  • Lee, Byung-Hyuk;Hwang, Sung-Chul;Nam, Jung-Woo;Park, Jong-Chun
    • International Journal of Ocean System Engineering
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    • v.1 no.1
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    • pp.37-45
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    • 2011
  • The nonlinear free-surface motions interacting with a floating body were investigated using the Moving Particle Semi-implicit (MPS) method proposed by Koshizuka and Oka [6] for incompressible flow. In the numerical method, more realistic Lagrangian moving particles were used for solving the flow field instead of the Eulerian approach with a grid system. Therefore, the convection terms and time derivatives in the Navier-Stokes equation can be calculated more directly, without any numerical diffusion, instabilities, or topological failure. The MPS method was applied to a numerical simulation of predicting the efficiency of floating-type breakwater interacting with waves.

Newton's Method to Determine Fourier Coefficients and Wave Properties for Deep Water Waves

  • JangRyong Shin
    • Journal of Ocean Engineering and Technology
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    • v.37 no.2
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    • pp.49-57
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    • 2023
  • Since Chappelear developed a Fourier approximation method, considerable research efforts have been made. On the other hand, Fourier approximations are unsuitable for deep water waves. The purpose of this study is to provide a Fourier approximation suitable even for deep water waves and a numerical method to determine the Fourier coefficients and the wave properties. In addition, the convergence of the solution was tested in terms of its order. This paper presents a velocity potential satisfying the Laplace equation and the bottom boundary condition (BBC) with a truncated Fourier series. Two wave profiles were derived by applying the potential to the kinematic free surface boundary condition (KFSBC) and the dynamic free surface boundary condition (DFSBC). A set of nonlinear equations was represented to determine the Fourier coefficients, which were derived so that the two profiles are identical at specified phases. The set of equations was solved using Newton's method. This study proved that there is a limit to the series order, i.e., the maximum series order is N=12, and that there is a height limitation of this method which is slightly lower than the Michell theory. The reason why the other Fourier approximations are not suitable for deep water waves is discussed.