• Title/Summary/Keyword: High-order spectral method

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Time-Domain Analysis of Nonlinear Wave-Making Phenomena by a Submerged Sphere Oscillating with Large Amplitude (대진폭 조화 운동을 하는 잠수구에 의한 비선형 조파현상의 시간영역 해석)

  • Kim, Yong-Jig;Ha, Young-Rok
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.382-385
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    • 2006
  • A high-order spectral/boundary-element method is newly adapted as an efficient numerical tool. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved fly using the high-order spectral method and body potential is solved fly using the high-order boundary element method. Through the combination of these two methods, the wave-making problems fly a submerged sphere moving with the large amplitude oscillation are solved in time-domain. With the example calculations, nonlinear effects on free-surface profiles and hydrodynamic forces are shown and discussed.

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A COMPARATIVE STUDY BETWEEN DISCONTINUOUS GALERKIN AND SPECTRAL VOLUME METHODS ON STRUCTURED GRIDS (2차원 정렬 격자계에서의 불연속 갤러킨 기법과 Spectral Volume 기법 비교 연구)

  • Koo H. S.;Kim K. H.;Kim C. A.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.131-134
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    • 2005
  • Conventional high order interpolation schemes are limitative in several aspects mainly because they need data of neighboring cells at the reconstruction step. However, discontinuous Galerkin method and spectral volume method, two high order flux schemes which will be analyzed and compared in this paper, have an important benefit that they are not necessary to determine the flow gradients from data of neighboring cells or elements. These two schemes construct polynomial of variables within a cell so that even near wall or discontinuity, the high order does not deteriorate.

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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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A Study on the High-Order Spectral Model Capability to Simulate a Fully Developed Nonlinear Sea States

  • Young Jun Kim;Hyung Min Baek;Young Jun Yang;Eun Soo Kim;Young-Myung Choi
    • Journal of Ocean Engineering and Technology
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    • v.37 no.1
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    • pp.20-30
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    • 2023
  • Modeling a nonlinear ocean wave is one of the primary concerns in ocean engineering and naval architecture to perform an accurate numerical study of wave-structure interactions. The high-order spectral (HOS) method, which can simulate nonlinear waves accurately and efficiently, was investigated to see its capability for nonlinear wave generation. An open-source (distributed under the terms of GPLv3) project named "HOS-ocean" was used in the present study. A parametric study on the "HOS-ocean" was performed with three-hour simulations of long-crested ocean waves. The considered sea conditions ranged from sea state 3 to sea state 7. One hundred simulations with fixed computational parameters but different random seeds were conducted to obtain representative results. The influences of HOS computational parameters were investigated using spectral analysis and the distribution of wave crests. The probability distributions of the wave crest were compared with the Rayleigh (first-order), Forristall (second-order), and Huang (empirical formula) distributions. The results verified that the HOS method could simulate the nonlinearity of ocean waves. A set of HOS computational parameters was suggested for the long-crested irregular wave simulation in sea states 3 to 7.

A Study of Numerical Method for Analysis of the 3-Dimensional Nonlinear Wave-Making Problems (3차원 비선형 조파문제 해석을 위한 수치해법 연구)

  • Ha, Y.R.;An, N.H.
    • Journal of Power System Engineering
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    • v.16 no.5
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    • pp.40-46
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    • 2012
  • For free surface flow problem, a high-order spectral/boundary element method is adapted as an efficient numerical tool. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated and hydrodynamic forces also can be calculated in time domain. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved by using the high-order spectral method and body potential is solved by using the high-order boundary element method. Using the combination of these two methods, the free surface flow problems of a submerged moving body are solved in time domain. In the present study, lifting surface theory is added to the former work to include effects of lift force. Therefore, a new formulation for the basic mathematical theory is introduced to contain the lift body in calculation.

Time-Domain Analysis of Nonlinear Wave-Making Problems by a Submerged Sphere Oscillating with Large Amplitude (대진폭 조화 운동을 하는 잠수구에 의한 비선형 조파문제의 시간영역 해석)

  • Kim, Yong-Jig;Ha, Young-Rok
    • Journal of Ocean Engineering and Technology
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    • v.20 no.6 s.73
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    • pp.67-74
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    • 2006
  • A high-order spectral/boundary-element method is newly adapted as an efficient numerical tool. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated and hydrodynamic forces also can be calculated in time-domain. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved by using the high-order spectral method and body potential is solved by using the high-order boundary element method. By the combination of these two methods, the wave-making problems by a submerged sphere oscillating with large amplitude under the free~surface are solved in time-domain. Through the example calculations, nonlinear effects on free-surface profiles and hydrodynamic forces are shown and discussed.

Time Domain Analysis of Nonlinear Wave-Making Problems by a Submerged Sphere Oscillating with Forward Speed (전진 동요하는 잠수구에 의한 비선형 조파문제의 시간영역 해석)

  • Ha, Y.R.;Bae, S.Y.
    • Journal of Power System Engineering
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    • v.14 no.6
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    • pp.75-82
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    • 2010
  • In this study, the topics for free-surface wave simulation, nonlinear hydrodynamic force, and the critical resonance frequency of so-called ${\tau}=U{\omega}/g$=1/4 are discussed. A high-order spectral/boundary element method is newly adapted as an efficient numerical tool. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated and hydrodynamic forces also can be calculated in time domain. In this method, the velocity potential is expressed as the sum of surface potential and body potential. Then, surface potential is solved by using the high-order spectral method and body potential is solved by using the high-order boundary element method. By the combination of these two methods, the wave-making problems by a submerged sphere oscillating with forward speed under the free-surface are solved in time domain.

Numerical Simulation of Incipient Breaking Waves (초기 쇄파의 수치모사)

  • 김용직;김선기
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.4
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    • pp.1-10
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    • 2002
  • For the time-domain simulation of incipient breaking waves, usually the boundary integral method has been used so far, and it seems to be successful except a problem of too much computation time. The present paper shows a new computation technique for the simulation of breaking wave experiment. This technique uses the high-order spectral/boundary element method and the boundary integral method in sequence, and reduces the computation time remarkably. The wave generation and energy focusing process is efficiently simulated by the high-order spectral/boundary element method. Only the wave over-turning process is simulated by the boundary integral method. In the example calculation result, salient features of breaking waves such as high particle velocities and accelerations are shown.

High-Order Spectral/Boundary-Integral Method for the Calculation of Nonlinear Interactions between Hydrofoil and Free-Surface (수중익과 자유표면의 비선형 상호작용 계산을 위한 고차 스펙트럴/경계적분법)

  • Kim Yong Jig;Ha Young Rok;Kwon Sun Hong;Kim Dong Joon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.369-372
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    • 2002
  • Under the assumption of potential flow, free-surface flows around a 2-dimensional hydrofoil are calculated by high-order spoctral/boundary-integral method. This method is one of the most efficient numerical methods by which the nonlinear interactions between hydrofoil and free-surface can be simulated in time-domain. Comparisons of the calculated free-surface profiles with other experimental results show relatively good agreements. As another example, free-surface flow generated by the heaving and translating hydrofoil is calculated and discussed.

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A STUDY ON SPATIAL FEATURE EXTRACTION IN THE CLASSIFICATION OF HIGH RESOLUTIION SATELLITE IMAGERY

  • Han, You-Kyung;Kim, Hye-Jin;Choi, Jae-Wan;Kim, Yong-Il
    • Proceedings of the KSRS Conference
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    • 2008.10a
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    • pp.361-364
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    • 2008
  • It is well known that combining spatial and spectral information can improve land use classification from satellite imagery. High spatial resolution classification has a limitation when only using the spectral information due to the complex spatial arrangement of features and spectral heterogeneity within each class. Therefore, extracting the spatial information is one of the most important steps in high resolution satellite image classification. In this paper, we propose a new spatial feature extraction method. The extracted features are integrated with spectral bands to improve overall classification accuracy. The classification is achieved by applying a Support Vector Machines classifier. In order to evaluate the proposed feature extraction method, we applied our approach to KOMPSAT-2 data and compared the result with the other methods.

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