• Title/Summary/Keyword: Water wave problem

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Markov Chain Model for Synthetic Generation by Classification of Daily Precipitaion Amount into Multi-State (강수계열의 상태분류에 의한 Markov 연쇄 모의발생모형)

  • Kim, Ju-Hwan;Park, Chan-Yeong
    • Water for future
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    • v.29 no.6
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    • pp.155-166
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    • 1996
  • A finite element model for simulating gradually and rapidly varied unsteady flow in open channel is developed based on dynamic wave equation using Petrov-Galerkin method. A matrix stability analysis shows the selective damping of short wave lengths and excellent phase accuracies achived by Petrov-Galerkin method. Whereas the Preissmann scheme displays less selective damping and poor phase accuracies, and Bubnov-Galerkin method shows nondissipative characteristics whicn causes a divergence problem in short wave length. The analysis also shows that the Petrov-Galerkin method displays the desirable combination of selective damping of high frequency progressive waves over a wide range of Courant number and good phase accuracy at low Courant number. Therefore, the Petrov-Galerkin can be effectively applied to gradually and rapidly varied unsteady flow.

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Numerical Analysis for Hydrodynamic Performance of OWC Devices with Multiple Chambers in Waves

  • Kim, Jeong-Seok;Nam, Bo Woo
    • Journal of Ocean Engineering and Technology
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    • v.36 no.1
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    • pp.21-31
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    • 2022
  • In recent years, various studies have been conducted on oscillating-water-column-type wave energy converters (OWC-WECs) with multiple chambers with the objective of efficiently utilizing the limited space of offshore/onshore structures. In this study, a numerical investigation based on a numerical wave tank was conducted on single, dual, and triple OWC chambers to examine the hydrodynamic performances and the energy conversion characteristics of the multiple water columns. The boundary value problem with the Laplace equation was solved by using a numerical wave tank based on a finite element method. The validity of the current numerical method was confirmed by comparing it with the measured data in the previous experimental research. We undertook a series of numerical simulations and observed that the water column motion of sloshing mode in a single chamber can be changed into the piston motion of different phases in multiple OWC chambers. Therefore, the piston motion in the multiple chambers can generate considerable airflow at a specific resonant frequency. In addition, the division of the OWC chamber results in a reduction of the time-dependent variability of the final output power from the device. As a result, the application of the multiple chambers leads to an increase of the energy conversion performance as well as a decrease of the variability of the wave energy converter.

Steady Boundary Layer Flow under the Influence of Progressive Finite Amplitude Wave (진행성 유한진폭파로 인한 정상성 경계층류)

  • OhImSang
    • 한국해양학회지
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    • v.21 no.4
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    • pp.259-264
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    • 1986
  • The problem of the formation of steady stream of flat bottom boundary is revisited by applying a progressive finite amplitude wave as an external flow. A solution for the boundary layer is found by expanding the boundary equation into double Fourier series. A vertical profile of the stream is obtained as a function of the ratio, h/L, where h and L are the water depth and the wave length. For the best applicable range of the external wave, it is shown that the boundary stream is independent of the fluid viscosity, but a function of the wave parameters and the water depth. The stream velocity of the steady boundary layer flow is proportional to the wave phase velocity and the square of the ratio, H/h, where His the wave height. The magnitude of the velocity is insignificant when h/L is greater than 1/5.

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CFD Simulation about Green Water on a Fixed FPSO in Regular Waves

  • Ha, Yoon-Jin;Nam, Bo Woo
    • Journal of Advanced Research in Ocean Engineering
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    • v.3 no.4
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    • pp.174-183
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    • 2017
  • Numerical simulations were performed about the green water problem of a FPSO. Three regular waves in head sea were tested. A rectangular box-shaped FPSO was considered and it is assumed there is a vertical wall on the deck. For the numerical simulations, an open-source CFD code, OpenFOAM, was applied to solve the present problems. Focus is on wave fields around the FPSO, water flows and impact pressures on the deck. For the validation, the present calculation results were compared with the existing experimental of Lee et al. (2012) and Changwon university in KTTC Cooperative Study Report (2015). The statistical values and spatial distribution of the peak pressures are directly compared with the experimental data. Some discussions are made on the effects of the domain breadth on the Green water impact pressure.

The wave stability of the nonparallel natural convection flows adjacent to an inclined isothermal surface submerged in water at $4degC$ ($4degC$ 물에 잠겨있는 경사진 등온 벽주위 비평행 자연대류의 파형 안정성)

  • 황영규;장명륜
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.644-653
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    • 1991
  • A wave instability problem is formulated for natural convection flows adjacent to a inclined isothermal surface in pure water near the density extremum. It accounts for the nonparallelism of the basic flow and temperature fields. Numerical solutions of the hydrodynamic stability equations constitute a two-point boundary value problem which are accurately solved using a computer code COLSYS. Neutral stability results for Prandtl number of 11.6 are obtained for various angles of inclination of a surface in the range from-10 to 30 deg. The neutral stability curves are systematically shifted toward modified Grashof number G=0 as one proceeds from downward-facing inclined plate(.gamma.<0.deg.) to upward-facing inclined plate (.gamma.>0.deg.). Namely, an increase in the positive angle of inclination always cause the flows to be significantly more unstable. The present results are compared with the results for the parallel flow model. The nonparallel flow model has, in general, a higher critical Grashof number than does the parallel flow model. But the neutral stability curves retain their characteristic shapes.

Fourier Approximation of Nonlinear Standing Waves (비선형 정상파의 Fourier급수 해석)

  • 전인식;안희도
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.4 no.4
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    • pp.219-224
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    • 1992
  • A numerical method using the truncated Fourier series is presented to predict the wave potential and water surface profile for two dimensional nonlinear standing waves. The unknown coefficients of the series are to be determined through the Newton solution of nonlinear simultaneous equations given by the governing equation and boundary conditions of the problem. In order to prove the effectiveness of the present method. an existing Stokes-like perturbation method is considered together, and a hydraulic experiment for measuring water surface profile and wave pressure is performed as well. The results are such that the present method can generally give exact solutions even for relatively big wave stiffness regardless of the water depth condition. It also demonstrates its validity by showing double humps in the crest of temporal wave pressure profile which normally appear in strongly nonlinear standing waves.

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Numerical Analysis of Hydrodynamic Forces on a Floating Body in Two-layer Fluids (밀도가 상이한 두 유체층에서 부유체 동유체력 특성의 수치적 해석)

  • Kim, Mi-Geun;Koo, Weon-Cheol
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.3
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    • pp.369-376
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    • 2010
  • In this study, a radiation and a diffraction problems of a floating body in two-layer fluids were solved by the Numerical Wave Tank(NWT) technique in the frequency domain. In two-layer fluids, two different wave modes exist and the hydrodynamic coefficients can be obtained separately for each mode. The two-domain Boundary Element Method(BEM) in the potential fluid using the whole-domain matrix scheme was used to investigate the characteristics of wave forces, added mass and damping coefficients. The effects of the ratio of density and water depth in the lower domain were also evaluated and compared with given references.

Mean Drift Force Acting on a Floating OWC Wave Power Device (부유식 OWC 파력발전 챔버의 파 표류력해석)

  • HONG Do-Chun;HONG Sa-Young;HONG Seok-Won
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.373-376
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    • 2002
  • The drift force acting on a floating OWC chamber in waves is studied taking account of fluctuating air pressure in the air chamber. A velocity potential in the water due to the free surface oscillating pressure patch is added to the conventional radiation-diffraction potential problem. The potential problem inside the chamber is formulated by making use of the Green integral equation associated with the Rankine Green function while the outer problem with the Kelvin Green function. The drift forces as well as the chamber motions are calculated taking account of the air pressure in the chamber.

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Numerical Solution of the Radiation Problem by the B-Spline Higher Order Kelvin Panel Method for a Half-Immersed Cylinder in Wave and Current

  • Hong, Do-Chun
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.10a
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    • pp.184-188
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    • 2000
  • The improved Green integral equation of overdetermined type applied to the radiation problem for an oscillating cylinder in the presence of weak current is presented. A two-dimensional Green function for the weak current is also presented. The present numerical solution of the Improved Green integral equation by the B-spline higher order Kelvin panel method is shown to be free of irregular frequencies which are present in the usual Green integral equation.

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