• Title/Summary/Keyword: 정합 그린 적분방정식

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A Numerical Study of Nonlinear Free-surface Flows Generated by Motions of Two Dimensional Cylinders (2차원 실린더의 운동에 기인한 비선형 자유표면 유동의 수치해석)

  • Lee, Ho-Young
    • Journal of Ocean Engineering and Technology
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    • v.12 no.1
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    • pp.85-98
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    • 1998
  • 본 논문의 수치해법은 경계치문제를 풀기 위하여 코시이론(Cauchy's theorem)을 사용하였다. 경계치문제는 완전한 물체표면조건과 자유표면조건을 만족시키는 초기치문제로 귀결된다. 현 수치해법에서 무한영역은 수치계산 영역인 비선형 영역과 선형 자유표면조건을 만족하는 선형영역으로 나누어진다. 선형영역의 해는 과도 그린(Green)함수를 사용하여 정합조건을 부과함으로써, 수치계산은 비선형 영역에서만 수행된다. 본 논문에서 저자는 수치계산 영역에서 코시이론을 사용하여 적분방정식을 도출하였고, 무한영역의 해는 정합면에서 과도 그린함수를 사용하여 표현하였다. 본 수치계산에서 자유표면에 요소 재분배법을 적용함으로써 쇄파현상에 대해서도 안정적인 수치해석을 할 수 있었다. 본 논문에서 개발된 수치방법을 적용한 문제는 다음과 같다. 첫째는 자유표면에서 실린더가 강제동요하는 경우에 자유표면형상과 힘을 계산하여 이전의 실험치 및 계산치와 비교하였다. 두번째로는 실린더가 자유수면하에서 일정한 속도로 항주하는 경우에는 조파저항과 양력을 계산하여 고차 스펙트럴법과 비교하였다.

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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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A Study on the Multiple OWC Chamber Motion in Waves (다중 OWC챔버 구조물의 운동해석)

  • Hong, Do-Chun;Hong, Sa-Young;Hong, Seok-Won
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.10a
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    • pp.202-205
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    • 2002
  • The motion of a floating body with multiple owe chambers in waves is studied taking account of fluctuating air pressure in the chambers. The atmospheric pressure drop in one chamber is interrelated with the drop in the other chamber. Velocity potential in the water due to the free surface oscillating pressure patches is calculated by making use of the hybrid Green integral equation. The chamber motion in the frequency domain is calculated for various values of parameters related to the atmospheric pressure drop in the multiple chambers.

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A Study on the Floating OWC Chamber Motion in Waves (부유기 OWC 챔버의 파중 운동해석)

  • 홍도천
    • Journal of Ocean Engineering and Technology
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    • v.16 no.3
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    • pp.19-27
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    • 2002
  • The motion of a floating OWC chamber in waves is studied taking account of fluctuating air pressure in the air chamber. An atmospheric pressure drop occurs across the upper opening of the chamber which causes not only hydrodynamic but also pneumatic added mass and damping forces to the floating 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 wile the outer problem with the Kelvin Green function. The two integral equations are solved simultaneously by making use of a matching boundary condition at the lower opening of the chamber to the outer water region. The chamber motion in the frequency domain is calculated for various values of parameters related to the atmospheric pressure drop. The present methods can also be sued for the analysis of air-cushion vehicle motion as well as for the design of a floating OWC wave energy absorber.

A Study on the Floating OWC Chamber Motion in Waves (부유식 OWC 챔버의 파중 운동해석)

  • Hong, Do-Chun;Hong, Sa-Young
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.191-197
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    • 2002
  • The motion of a floating OWC chamber in waves is studied taking account of fluctuating.air pressure in the air chamber. An atmospheric pressure drop occurs across the upper opening of the chamber which causes not only hydrodynamic but also pneumatic added mass and damping forces to the floating 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 two integral equations are solved simultaneously by making use of a matching boundary condition at the lower opening of the chamber to the outer water region. The chamber motion in the frequency domain is calculated for various values of parameters related to the atmospheric pressure drop. The present methods can also be used for the analysis of air-cushion vehicle motion as well as for the design oj a floating owe wave energy absorber.

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Reverse Drift Force of a Floating 2D-BBDB Wave Energy Absorber (2D-BBDB형 파 에너지 흡수장치 에 작용하는 음의 시간평균 파 표류력 해석)

  • Hong, Do-Chun;Hong, Sa-Young;Hong, Seok-Won;Kim, Hyeon-Ju
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.10a
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    • pp.187-191
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    • 2003
  • The motion and time-mean drift force of a 2-D floating BBDB in waves are studied with and without taking account of fluctuating air pressure in the air chamber. It has been found numerically that the drift for a of the BBDB is in the reverse direction of propagation of the incident waves over specific frequency ranges as found by McCormick through his experiment work. The drift force is calculated by Pinkster's near-field method. Since Maruo's formula method for the drift force is always positive, Maruo's formula is only approximate and should be replaced by the correct near-field method.

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