• 제목/요약/키워드: Matched eigenfunction expansion method

검색결과 18건 처리시간 0.023초

Effect of Internal Fluid Resonance on the Performance of a Floating OWC Device

  • Cho, Il Hyoung
    • 한국해양공학회지
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    • 제35권3호
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    • pp.216-228
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    • 2021
  • In the present study, the performance of a floating oscillating water column (OWC) device has been studied in regular waves. The OWC model has the shape of a hollow cylinder. The linear potential theory is assumed, and a matched eigenfunction expansion method(MEEM) is applied for solving the diffraction and radiation problems. The radiation problem involves the radiation of waves by the heaving motion of a floating OWC device and the oscillating pressure in the air chamber. The characteristics of the exciting forces, hydrodynamic forces, flow rate, air pressure in the chamber, and heave motion response are investigated with various system parameters, such as the inner radius, draft of an OWC, and turbine constant. The efficiency of a floating OWC device is estimated in connection with the extracted wave power and capture width. Specifically, the piston-mode resonance in an internal fluid region plays an important role in the performance of a floating OWC device, along with the heave motion resonance. The developed prediction tool will help determine the various design parameters affecting the performance of a floating OWC device in waves.

다수 부체 배열에 의한 파의 회절과 방사 (Diffraction and Radiation of Waves by Array of Multiple Buoys)

  • 조일형
    • 한국해양공학회지
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    • 제30권3호
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    • pp.151-160
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    • 2016
  • The diffraction and radiation of linear waves by an array of truncated floating multiple buoys are solved using the interaction theory based on a matched eigenfunction expansion method (MEEM). The interaction processes between multiple buoys are very complex and numerous, because the scattered and radiated waves from each buoy affect the others in the array. Our primary aim is therefore to construct the rigorous wave exciting forces and hydrodynamic forces to deal with the problem of multiple interactions. This present method is applied to a square array of four buoys with two incidence angles, and the results are given for the wave excitation forces on each buoy, heave RAO for each buoy heaving independently, and wave elevations around the buoys and wave run-up. The analytical solutions are in good agreement with the numerical solutions obtained from commercial code (WAMIT).

감쇠판이 부착된 원기둥의 동유체력 특성 (Hydrodynamic Forces Characteristics of a Circular Cylinder with a Damping Plate)

  • 조일형
    • 한국해양공학회지
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    • 제25권1호
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    • pp.1-7
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    • 2011
  • The radiation of water waves by a heaving truncated circular cylinder with damping plate is solved in the frame of the three-dimensional linear potential theory. The damping plate has a distinct advantage in reducing the motion response of a floating circular cylinder by increasing the added mass and the damping coefficient. Using the matched eigenfunction expansion method, the characteristics of hydrodynamic added mass and the damping coefficient are investigated with various system parameters, such as the radius and submergence depth of the damping plate. It is found that both added mass and the damping coefficient are significantly increased due to the arranged features of the larger damping plate with shallow submergence, which are positive factors as a motion reduction device of the floating offshore platform. Also the numerical results for an oscillating submerged disk show that the added mass is negative and that the damping coefficient has a peak value at resonant frequency when submergence depth is sufficiently small.

Diffraction of water waves by an array of vertical barriers and heterogeneous bottom

  • Mondal, R.;Alam, Md. Mahbub
    • Wind and Structures
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    • 제29권1호
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    • pp.33-41
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    • 2019
  • The interaction of head waves with an infinite row of identical, equally spaced, rectangular breakwaters is investigated in the presence of uneven bottom topography. Using linear water wave theory and matched eigenfunction expansion method, the boundary value problem is transformed into a system of linear algebraic equations which are numerically solved to know the velocity potentials completely. Utilizing this method, reflected and transmitted wave energy are computed for different physical parameters along with the wave field in the vicinity of breakwaters. It is observed that the wave field becomes more complicated when the incoming wavelength becomes smaller than the channel width. A critical ratio of the gap width to the channel width, corresponding to the inflection point of the transmitted energy variation, is identified for which 1/3 of the total energy is transmitted. Similarly, depending on the incident wavelength, there is a critical breakwater width for which a minimum energy is transmitted. Further, the accuracy of the computed results is verified by using the derived energy relation.

원기둥과 선형발전기의 연성 수직운동을 이용한 파 에너지 추출 (Extraction of Wave Energy Using the Coupled Heaving Motion of a Circular Cylinder and Linear Electric Generator)

  • 조일형;권혁민
    • 한국해양공학회지
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    • 제25권6호
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    • pp.9-16
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    • 2011
  • The feasibility of wave energy extraction from a heaving truncated cylinder and the corresponding response of the linear electric generator (LEG) composed of spring, magnet, and coil has been investigated in the frame of three-dimensional linear potential theory. The heaving motion of a circular cylinder is calculated by means of the matched eigenfunction expansion method. Further, the analytical results are validated by numerical results using the ANSYS AQWA commercial code. By the action of a heaving circular cylinder, the magnet suspended by a spring can slide vertically inside the heaving cylinder. The mechanical power is extracted from the magnet motion relative to the coil/stator which is attached to the cylinder. The coupled ODE of a heaving cylinder and LEG system in waves is derived to obtain the magnet motion relative to a cylinder. To maximize the relative motion of the magnet, both the buoy draft and the LEG system parameters (spring stiffness, damping) should be selected properly for generating the double resonance considering the peak frequency of the target spectrum.

Anti-slosh effect of a horizontal porous baffle in a swaying/rolling rectangular tank: Analytical and experimental approaches

  • George, Arun;Cho, Il-Hyoung
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.833-847
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    • 2021
  • The horizontal porous baffle and its effect as an anti-slosh device have been investigated intensively in a swaying and rolling rectangular tank. To accurately assess the level at which porous baffles reduce liquid sloshing, the Matched Eigenfunction Expansion Method (MEEM) has been utilized as an analytical tool. The velocity potentials in the horizontal baffle-covered fluid region are expressed by the sum of the homogeneous and particular solutions to avoid solving the complex dispersion equation. By applying an equivalent linearized quadratic loss model, the nonlinear algebraic equation is derived and solved by implementing the Newton-Raphson iterative scheme. To prove the validity of the present theoretical model, a series of experiments have been conducted with different centered horizontal porous baffles with varying porosities and submerged depths in a swaying and rolling rectangular tank. Reasonably good agreements are obtained regarding the analytical solutions and the experiment's findings. The influence of porosity, submerged depth, and length of a centered horizontal porous baffle on anti-slosh performance have been analyzed, especially at resonance modes. The developed predictive tool can potentially provide guidelines for optimal design of the horizontal porous baffle.

안벽 앞에 부분 잠긴 진자판에 의한 파랑에너지 추출 (Wave Energy Extraction using Partially Submerged Pendulum Plate with Quay Wall)

  • 조일형;이혜빈;배윤혁
    • 한국해양공학회지
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    • 제31권3호
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    • pp.208-218
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    • 2017
  • The performance of a wave energy converter (WEC) that uses the rolling motion of a partially submerged pendulum plate in front of a quay wall was analyzed. The wave exciting moment and hydrodynamic moment were obtained using a matched eigenfunction expansion method (MEEM) based on the linear potential theory, and then the roll motion response of a pendulum plate, time averaged extracted power, and efficiency were investigated. The optimal PTO damping coefficient was suggested to give the optimal extracted power. The peak value of the optimal extracted power occurs at the resonant frequency. The resonant peak and its width increase as the submergence depth of the pendulum plate decreases and thickness of the pendulum plate increases. An increase in the wave incidence angle reduces the efficiency of the wave energy converter. In addition, the WEC using a rolling pendulum plate contributes not only to the extraction of the wave energy, but also to a reduction in the waves reflected from the quay wall, which helps to stabilize ships going near the quay wall.

내부가 빈 원기둥의 수직운동 특성 (Characteristics of Heaving Motion of Hollow Circular Cylinder)

  • 배윤혁;조일형
    • 한국해양공학회지
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    • 제27권5호
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    • pp.43-50
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    • 2013
  • In the present investigation, the hydrodynamic characteristics of a vertically floating hollow cylinder in regular waves have been studied. The potential theory for solving the diffraction and radiation problem was employed by assuming that the heave response motion was linear. By using the matched eigenfunction expansion method, the characteristics of the exciting forces, hydrodynamic coefficients, and heave motion responses were investigated with various system parameters such as the radius and draft of a hollow cylinder. In the present analytical model, two resonances are identified: the system resonance of a hollow cylinder and the piston-mode resonance in the confined inner fluid region. The piston resonance mode is especially important in the motion response of a hollow circular cylinder. In many cases, the heave response at the piston resonance mode is large, and its resonant frequency can be predicted using the empirical formula of Fukuda (1977). The present design tool can be applied to analyze the motion response of a spar offshore structure with a moon pool.

파랑중 유연한 그물망의 응답특성 해석 (Analysis on Response Characteristics of a Flexible Net Sheet in Waves)

  • 조일형
    • 한국해안·해양공학회논문집
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    • 제24권2호
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    • pp.89-96
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    • 2012
  • 유탄성이론과 고유함수전개법에 기초하여 규칙파중 유연한 그물망의 동적거동과 파랑하중을 살펴보았다. 그물망은 일정한 잠긴깊이를 가지고 수직으로 설치되어 있으며, 상단 끝은 수면에 고정되어 있고 하단 끝은 추에 연결되어 있다. 초기장력이 충분히 크다고 가정하여 장력의 동적 성분을 무시하였다. 유연한 그물망에서의 경계조건식은 투과효과를 나타내는 Darcy의 법칙과 유연성을 나타내는 물체 경계조건식이 결합된 형태이다. 개발된 해석모델은 불투과성/투과성 수직판과 유연막 모델로 확장이 가능하다. 해석모델을 이용하여 여러 설계변수(파랑특성, 공극율, 잠긴깊이, 초기장력)들의 변화가 그물망의 파랑하중과 거동특성에 미치는 영향을 살펴보았다.

안벽 앞에 설치된 진동수주형 파력발전장치의 반사율과 추출효율과의 상관관계 (Correlation of Reflection Coefficient and Extracted Efficiency of an Oscillating Water Column Device in Front of a Seawall)

  • 조일형;김정록
    • 한국해안·해양공학회논문집
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    • 제32권4호
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    • pp.242-251
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    • 2020
  • 본 연구에서는 직립 안벽 앞에 설치된 2차원 진동수주형 파력발전장치의 추출효율과 반사율을 규칙파와 불규칙파에 대하여 살펴보고 둘 사이의 상관관계를 조사하였다. 해석이론으로 선형포텐셜 이론에 기반을 둔 고유함수전개법을 사용하였다. 공기실이 완전 개방되었을 때 입사파에 의한 산란문제와 공기실이 닫혀 있을 때 공기실내의 변동압력에 의한 파의 방사문제를 풀어 공기실 내부의 유량을 구하고, 이를 공기실내의 공기 흐름에 대한 연속방정식에 대입하여 변동압력을 구한다. 추출파워가 최대가 되는 최적 터빈계수를 적용하여 진동수주형 파력발전장치의 최대 추출효율과 반사율을 규칙파와 불규칙파에 대하여 구하였다. 파랑에너지를 효율적으로 흡수하도록 설계된 진동수주형 파력발전장치는 동시에 반사파를 줄이는데 기여하였다.