• Title/Summary/Keyword: 고차경계요소법

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Calculation of Nonlinear Interactions between Hydrofoil and Free-Surface by the High-Order Spectral/Boundary-Integral Method (고차 스펙트럴 / 경계적분법에 의한 수중익과 자유표면의 비선형 상호작용 계산)

  • 김용직;하영록
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.39 no.1
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    • pp.27-32
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    • 2003
  • Under the assumption of potential flow, free-surface flow around a hydrofoil is calculated by the high-order spectra1!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. In this method. the wave potential which represents the nonlinear evolution of free-surface is solved by the high-order spectral method and the body potential which provides the effects of hydrofoil and shed vortex is solved by the boundary-integral method. The calculated free-surface profiles which are generated by a uniformly translating hydrofoil are compared with other experimental results. And they show relatively good agreements each other. As another example, free-surface flow generated by a heaving and translating hydrofoil is calculated and discussed.

Time-Domain Simulation of Nonlinear Free-Surface Flows around a Two-Dimensional Hydrofoil (2차원 수중익주위 비선형 자유표면유동의 시간영역 시뮬레이션)

  • Yong-J. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.2
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    • pp.45-56
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    • 1994
  • A computationally efficient numerical method based on potential flow is developed for time-domain simulation of the nonlinear free-surface flows around a 2-dimensional hydrofoil. This numerical method, namely, spectral/boundary-element method, is a mixed one of the high-order spectral method and the boundary-element method in time-domain. The high-order spectral method is used to calculate the nonlinear evolution of free-surface, and the boundary-element method is used to calculate the effects of the hydrofoil and the shed vortex. As application examples, nonlinear free-surface flows around a 2-dimensional hydrofoil which starts from the rest and translates near the free-surface with or without harmonic oscillations are calculated. Nonlinear/unsteady results of free-surface waves and hydrodynamic farces are shown and discussed. Particularly, the results of steady-state which are obtained as a special case of the present unsteady solution are compared with others' calculated and experimental results, and good agreements are observed.

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An Analysis of Electromagnetic Field Scattering for the Dielectric Cylinders (유전체주의 전자장 산란 해석)

  • 박동희;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.2
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    • pp.181-186
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    • 1992
  • The scattering property of TMz illuminated perfectly conducting and dielectric cylinders of arbitrary cross section are analyzed by the boundary element techniques. The boundary element equations are formulated via Maxwell’s equations, weighted residual or Green’s theorem, and the boundary conditions. The unknown surface fields on the boundaries are then calculated by the boundary element integral equations. Once the surface fields are found, the scattered fields in from a perfectly conducting circular and elliptic cylinders, a dielectric circular and elliptic cylinders are numerically analyzed. A general computer program has been developed using the quadratic elements(higher order boundary elements) and the Gaussian quadrature.

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Numerical Analysis of Tip Vortex Flow of Three-dimensional Hydrofoil using B-Spline Higher-order Boundary Element Method (B-Spline 고차 경계요소법을 이용한 3차원 수중익의 날개 끝 와류유동 수치해석)

  • Kim, Ji-Hye;Ahn, Byoung-Kwon;Kim, Gun-Do;Lee, Chang-Sup
    • Journal of Ocean Engineering and Technology
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    • v.31 no.3
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    • pp.189-195
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    • 2017
  • A three-dimensional higher order boundary element method based on the B-spline is presented. The method accurately models piecewise continuous bodies and induced velocity potentials using B-spline tensor product representations, and it is capable of obtaining accurate pointwise values for the potential and its derivatives, especially in the trailing edge and tip region of the lift generating body, which may be difficult or impossible to evaluate with constant panel methods. In addition, we implement a wake roll-up and examine the tip vortex formation in the near wake region. The results are compared with existing numerical results and the results of experiments performed out at the cavitation tunnel of Chungnam National University.

Numerical Analysis of Two-Dimensional Nonlinear Radiation Problem Using Higher-Order Boundary Element Method (고차경계요소법을 이용한 2차원 비선형 방사문제의 수치해석)

  • Hong-G. Sung;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.1
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    • pp.67-81
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    • 2000
  • An accurate and efficient numerical method for two-dimensional nonlinear radiation problem has been developed. The wave motion due to a moving body is described by the assumption of ideal fluid flow, and the governing Laplace equation can be effectively solved by the higher-order boundary element method with the help of the GMRES (Generalized Minimal RESidual) algorithm. The intersection or corner problem is resolved by utilizing the so-called discontinuous elements. The implicit trapezoidal rule is used in updating solutions at new time steps by considering stability and accuracy. Traveling waves caused by the oscillating body are absorbed downstream by the damping zone technique. It is demonstrated that the present method for time marching and radiation condition works efficiently for nonlinear radiation problem. To avoid the numerical instability enhanced by the local gathering of grid points, the regriding technique is employed so that all the grids on the free surface may be distributed with an equal distance. This makes it possible to reduce time interval and improve numerical stability. Special attention is paid to the local flow around the body during time integration. The nonlinear radiation force is calculated by the "acceleration potential technique". Present results show good agreement with other numerical computations and experiments.

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An Analysis of Intake System using BEM and 1-D Solution (경계 요소법과 평면파 이론을 이용한 흡기계 해석)

  • Lee, C.M.;Kwon, O.S.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.3 no.1
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    • pp.89-96
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    • 1995
  • The application of the 4-pole parameter method with 1 - D theory is acceptable for intake system analysis. However, the limitaion appears during the analysis of complicated intake system since this method is developed based on the plane wave thoery. For the intake system analysis, the usage of BEM(Boundary Element Method) is introduced describing its disadvantage. To combine benefits of both method. a hybrid method is introduced. This hybrid method consists of the 4-pole parameter with I-D theory and BEM. The developed method is applied to an automobile intake system analysis to obtain the transmission loss.

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Analysis of Steady and Unsteady Flow Around a Ship Using a Higher-Order Boundary Element Method (고차경계요소법에 의한 선체주위 유동해석)

  • Sa-Y. Hong;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.42-57
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    • 1995
  • An efficient and accurate scheme has been constructed by taking advantages of the hi-quadratic spline scheme and the higher-order boundary element method selectively depending on computation domains. Boundary surfaces are represented by 8-node boundary elements to describe curved surfaces of a ship and its neighboring free surface more accurately. The variation of the velocity potential complies with the characteristics of the 8-node element on the body surface. But on the free surface, it is assumed to follow that of the hi-quadratic spline scheme. By which, the free surface solution is free from numerical damping and has better numerical dispersion property. As numerical examples, steady and unsteady Neumann-Kelvin problems are considered. Numerical results for a submerged spheroid, Series 60($C_B=0.6$) and a modified support the proposed method. Finally, a new upstream radiation condition is derived using a wave equation operator in order to deal with problems for subcritical reduced frequency. The relevance of this operator has been confirmed in the case of unsteady Kelvin source potential.

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Comparison of Absorbing Boundary Conditions and Waveguide Port Boundary Condition for Waveguide Electromagnetic Analysis Using Finite Element Method (유한요소법을 이용한 도파관 전자기 시뮬레이션에 있어 흡수경계조건 및 도파관 포트 경계조건 고찰 및 비교)

  • Mincheol Jo;Woobin Park;Woochan Lee
    • Journal of Internet Computing and Services
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    • v.24 no.2
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    • pp.27-36
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    • 2023
  • Waveguides are transmission lines that guide electromagnetic waves in the desired direction and are utilized in various fields such as medical devices, radar systems, and satellite communications. Computational electromagnetics (CEM) is essential for designing and optimizing waveguides. The finite element method (FEM), which is one of the numerical analysis techniques, is efficient in solving closed problems such as waveguides. In order to apply FEM for waveguide analysis, boundary conditions that truncate the computational domain are required. This paper performs electromagnetic simulations using absorbing boundary conditions (ABC) and waveguide port boundary conditions (WPBC) in 2/D and 3/D waveguides using the finite element method and compared their performances. The accuracy of the analysis was verified by comparing the results with HFSS, a representative commercial electromagnetic simulation software. Simulation results confirm that applying WPBC allows for smaller analysis domains than ABC.

Application of DGFEM to 1D Boussinesq Equation (일차원 Boussinesq 방정식에 대한 불연속 갤러킨 기법의 적용)

  • Lee, Haegyun;Lee, Namjoo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.470-474
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    • 2016
  • Madsen et al. (2002)이 제안한 일차원 고차 Boussinesq 방정식에 대하여 불연속갤러킨 유한요소법(Discontinuous Galerkin Finite Element Method)을 적용하였다. 연속적인 Boussinesq 방정식에서 각 요소경계에 불연속을 허용할 수 있도록 공간차분하고, 시간방향으로 4차 Runge-Kutta 시간적분법, 각 요소사이에는 Lax-Friedrichs 수치흐름률을 사용하였다. 계산영역의 양쪽에 불필요한 파랑의 반사를 억제하도록 흡수층을 설치하였으며, 영역 내부에서 조파할 수 있도록 하였다. Luth et al.(1994)의 수중잠제 실험에 적용하여 관측값과 잘 일치함을 확인하였다.

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A Hydroelastic Analysis of a Floating Fish Cage in Waves (부유식 가두리 양식장의 파랑중 유탄성 응답 해석)

  • Choi, Yoon-Rak;Yeo, Hwan-Tae
    • Journal of Ocean Engineering and Technology
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    • v.23 no.6
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    • pp.7-11
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    • 2009
  • The dynamic responses and drift forces in waves of a floating circular fish cage are analyzed considering hydroelastic effects. The method of generalized mode is used to calculate the hydroelastic responses of the floater of cage. The elastic mode shapes, generalized mass, and stiffness in dry mode are evaluated by using a structural analysis code. The higher-order boundary element method is adopted to analyze the interaction between fluid and deformable structure. Some results of vertical motions and drift forces are shown and compared with those for a rigid body.