• Title/Summary/Keyword: 선형 포텐셜

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Multiple steady state solutions in a two dimensional cavity flow (2차원 캐비티 유동에서 다중 정상 해에 관한 연구)

  • Cho Ji Ryong;Hong Sang Pyo;Kim Geun Oh;Kim Yun Taek
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.127-138
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    • 1999
  • In this study steady state solutions of cavity flows driven by two moving walls are studied. The north and east walls of the cavity are movable where as the remaining two walls are fixed in space. Numerical experiments for three different driving schemes for moving walls are done at two different Reynolds numbers of Re=40 and 400. The first scheme is to accelerate north and east walls simultaneously. In the second one, the north wall is started first and the east wall is accelerated later. In the third one the east wall starts first. It is usually expected that all these three cases yield the same steady state solution after sufficiently long time. However, present numerical experiments show that such a usual belief is valid only when the Reynolds number is low enough (Re=40). At higher Reynolds number (Re=400), the flow develops to three different steady states depending on the history of the boundary condition change.

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Performance Evaluation of Seawater-Exchanging Breakwater Using Helmholtz Resonator (헤름홀츠 공명장치를 이용한 해수교환형 방파제의 성능평가)

  • 조일형
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.2
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    • pp.89-99
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    • 2001
  • In the present paper, Helmholtz resonator, which is widely used as a sound-amplification device, is applied to the development of seawater-exchanging breakwater. The incident waves can induce a large response in the resonator when incident wave frequency is close to one of natural modes of the resonator. Largely amplified potential energy due to the resonance supplies clean seawater into the harbor side throughout the channel. Flow supplied by the resonator circulates the seawater of harbor and helps to improve water quality. Within the framework of linear potential theory, matched asymptotic expansion method is employed to analyze the wave responses in a resonator. The semi-circular shape of the resonator has been chosen as an analytic model for mathematical simplicity. The wave responses of both single and arrays of Helmholtz resonator are investi¬gated. To validate an analytic solution, model test is conducted at 2-dimensional wave tanle Wave hcights in the resonator and velocity at the channel are measured for the state of valve-on and valve-off.

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Application of Monte Carlo Simulation to Intercalation Electrochemistry II. Kinetic Approach to Lithium Intercalation into LiMn2O4 Electrode

  • Kim, Sung-Woo;Pyun, Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.5 no.2
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    • pp.86-92
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    • 2002
  • The present article is concerned with the application of the kinetic Monte Carlo simulation to electrochemistry of lithium intercalation from the kinetic view point. Basic concepts of the kinetic Monte Carlo method and the transition state theory were first introduced, and then the simulation procedures were explained to evaluate diffusion process. Finally the kinetic Monte Carlo method based upon the transition state theory was employed under the cell-impedance-controlled constraint to analyse the current transient and the linear sweep voltammogram for the $LiMn_2O_4$ electrode, one of the intercalation compounds. From the results, it was found that the kinetic Monte Carlo method is much relevant to investigate kinetics of the lithium intercalation in the field of electrochemistry.

Infinite Elements for the Evaluation of Wave Forces (파랑하중 산정을 위한 무한요소)

  • 박우선;윤정방;편종근
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.71-80
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    • 1989
  • In this paper, the concept of the infinite element is applied to the linear wave diffraction and radiation problems. The hydrodynamic pressure forces are assumed to be inertially dominated, and viscous effects are neglected. The near field region surrounding the solid body is modelled using the conventional finite elements, and the far field region is represented using the infinite elements .In order to represent the scattered wave potentials in the far field region more accurately, the infinite elements are developed using special shape functions derived from the asymptotic expressions for the analytical eigenseries solution of the scattered waves. The system matrices of the infinite elements are constructed by performing the integration in the infinite direction analytically to achieve computational efficiency. Numerical analyses are carried out for vertical axisymmetric bodies to validate the infinite elements developed here. Comparisons with the results by other available numerical solution methods show that the present method using the infinite elements gives fairly good results. Numerical experiments are per-formed to determine the suitable location of the infinite elements and the appropriate size of the finite elements which directly affect accuracy and efficiency of the solution.

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Interaction of a Floating Body with a Partially Reflective Sidewall in Oblique Waves (경사 입사파중 부분 반사 안벽과 부유체의 상호작용)

  • Cho, Il-Hyoung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.5
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    • pp.410-418
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    • 2009
  • Based on a linear potential theory, the boundary element method(BEM) is developed and applied to analyze the hydrodynamic forces and the motion responses of a floating body with a partially reflective sidewall. The hydrodynamic forces (added mass and damping coefficients) are dependent on not only the submergence of a floating body and the reflection of a sidewall, but also the gap between body and sidewall. In particular, the partial reflection of a sidewall plays an importance role in the motion responses of a floating body at resonant frequencies. It reduces the resonant peaks caused by resonance phenomenon due to the wave trapping in an enclosed fluid domain between body and sidewall. Developed predictive tools can be used to assess the motion performance of a floating body for various combinations of configuration of a floating body, wave heading, sidewall properties, and wave characteristics and applied to supply the basic informations for the harbour design considering the motion characteristics of a moored ship.

Wave Deformation and Blocking Performance by a Porous Dual Semi-Cylindrical Structure (투과성 이중 반원통 구조물에 의한 파 차단성능)

  • Cho, Il-Hyoung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.1
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    • pp.10-17
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    • 2010
  • The interaction of oblique incident waves with a porous dual semi-cylindrical structure is investigated under the assumption of linear potential theory. The porous dual semi-cylindrical structure consists of two concentric bottom-mounted cylindrical structures that are porous in front half and transparent in back half. By changing porosity, gap, and wave characteristics(wave frequencies, incidence angle), the wave blocking performance as well as the wave loads and the wave run-up are obtained. As a convenient measure of overall wave blocking performance, the root mean square(R.M.S.) of the wave elevation in a sheltered region is used. It is found that the porous semi-cylindrical structure may significantly reduce the wave response in a sheltered region and the wave forces decrease largely compared to the impermeable structure. The dual structure is more effective in reducing the wave response in a sheltered region than the mono type in the region of high frequencies.

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

  • Cho, Il Hyoung;Kim, Jeongrok
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.4
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    • pp.242-251
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    • 2020
  • In this study, the extraction efficiency and reflection coefficient by a two-dimensional OWC (Oscillating Water Column) WEC (wave energy converter) installed in front of a seawall was investigated for regular/irregular waves. The matched eigenfunction expansion method (MEEM) based on the linear potential theory was applied as an analytical tool. The diffraction problem by the incident wave in the open-chamber and the radiation problem by the oscillating pressure in the closed-chamber were solved to obtain the volume fluxes at the internal free-surface. Applying the volume fluxes into the continuity equation for the airflow in a chamber, we got the oscillating air pressure. The maximum extracted power and corresponding reflection coefficient were determined at the optimal turbine coefficient that maximizes the extracted power. OWC device designed for a high extracted efficiency simultaneously contributes to reduce reflected waves.

A Deformation Model of a Bag-Finger Skirt and the Motion Response of an ACV in Waves (Bag-Finger형 스커트의 변형모델과 규칙파중 공기부양선의 운동해석)

  • G.J. Lee;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.48-59
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    • 1992
  • In this paper, the effects of a skirt deformation on the responses of an Air Cushion Vehicle in waves are investigated. The air in the bag and in the plenum chamber is assumed to be compressible and to have a uniform instantaneous pressure distribution in each volume. The free surface deformation is determined in the framework of linear potential theory by replacing the cushion pressure with the pressure patch moving uniformly with an oscillating strength. And the bag-finger skirt is assumed to be deformed due to the pressure disturbance while its surface area remained constant. The restoring force and moment due to the deformation of bag-finger skirt from the equilibrium shape is included in the equations of hearse and pitch motions. The numerical results of motion responses due to various ratios of the bag and cushion pressure or bag-to-finger depth ratios are shown.

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Wave Responses and Ship Motions in a Harbor Excited by Long Waves(I) (항만내 파도응답과 계류선박의 운동해석(I))

  • I.H. Cho;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.38-47
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    • 1992
  • The motion response of a ship moored in a rectangular harbor excited by long waves has been studied theoretically and experimentally. Within the framework of potential theory, matched asymptotic expansion techniques are exployed to analyze the problem. The fluid domain is divided into the ocean and the harbor regions for the analysis of wave response in a harbor without ship. The wave responses in both the ocean and the harbor sides are solved first independently in terms of Green's functions, which are the solutions of the Helmholtz equation satisfying appropriate boundary conditions. Slender body approximations are used to obtain the velocity jumps across the ship, which are associated with the symmetric motion modes of the ship. Unknowns contained in each solution are finally determined by matching at an intermediate zone between two neighboring regions. Theoretical results predict the ship motion qualitatively well. The main source of quantitative discrepancies is presumably due to real fluid effects such as separation at the harbor entrance and friction on harbor boundaries.

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General Theory for Free Vibration and Stability Analysis of Thin-walled Space Frames (박벽 공간뼈대구조의 자유진동 및 안정성해석을 위한 일반이론)

  • 김문영;김성보
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.191-204
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    • 1998
  • The general formulation for free vibration and stability analysis of unsymmetric thin-wared space frames is presented in case where the shear deformation effects are neglected. The kinetic and total potential energies are derived by applying the extended virtual work principle, introducing displacement parameters defined at the arbitrarily chosen axis and including warping deformation and second order terms of finite semitangential rotations. In formulating the finite element procedure, cubic Hermitian polynomials are utilized as shape functions of the two node space frame element. Mass, elastic stiffness, and geometric stiffness matrices for the unsymmetric thin-walled section are evaluated, and load-correction stiffness matrices for off-axis distributed loadings are considered. In order to illustrate the accuracy and practical usefulness of this formulation, finite element solutions for the free vibration and stability problems of thin-walled beam-columns and space frames are presented and compared with available solutions.

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