• Title/Summary/Keyword: 경계적분 방정식

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A Study on the Dynamic Ground Effect on Three-Dimensional Wings Using a Time Domain Panel Method (시간영역패널법을 사용한 3차원 날개의 동적지면효과 연구)

  • Han, Cheol-Heui;Cho, Jin-Soo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.4
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    • pp.10-17
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    • 2002
  • A study on the dynamic ground effect on three-dimensional wings is done using an indirect boundary element method(unsteady panel method). An integral equation is obtained by applying Green's theorem on all surfaces of the fluid domain. Constant strength dipole and source panels arc distributed on a wing's surface. The wake sheet is represented by constant strength dipoles. At each time step, a row of wake panels is assumed to be convected from the trailing edge of the wing. The tip vortex behind wings in dynamic ground effect moves outward. The amplitudes of the aerodynamic coefficients for the wings in dynamic ground effect are augmented much more comparing to the case in static ground effect.

Group-Bounded Long Waves and Harbor Oscillation (항만(港灣) 및 해안공학파군(海岸工學波群)에 따른 장주기파(長週期波)와 항만(港灣)의 진동(振動))

  • Lee, Cheol Eung;Lee, Kil Seong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.3
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    • pp.607-618
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    • 1994
  • Effects of wave grouping on the harbor oscillation are studied in order to clarify the energy source of harbor resonance. The resonant periods of Donghae harbor and Imwon harbor are calculated using the boundary integral equation method. Also, the periods of the group-bounded long waves due to the irregular wave group are calculated using the theory developed in this study. Analyzing from the view point of period, it is concluded that the group-bounded long waves due to the irregular wave group can cause resonance in small harbors such as fishery harbors, and heavy ship motion in large harbors such as industrial ones.

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Theory of Acoustic Propagation in 3 Dimensional Wedge Domain (3차원 쐐기형 영역에서의 음향파 전달 이론)

  • Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.13 no.2E
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    • pp.83-91
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    • 1994
  • Three components contribute to the acoustic field propagating in a wedge or over a ridge : a direct path arrival, an image component due to reflection from the boundaries and a component diffracted by the apex. All three contributions are included in a new, exact solution of the Helmholtz equation for the three-dimensional time harmonic field from a point source in a wedge(or over a ridge) formed by two intersecting, pressure-release plane boundaries. The solution is obtained by applying three integral transforms, and consists of and infinite sum of uncoupled normal nodes. The mode coefficients are given by a finite integral involving a Gegenbauer polynomial in the integrand, which may be computed relatively efficiently. Results of the theory for propagation over a 90 degree ridge is discussed.

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Numerical Study of the Radiation Potential of a Ship Using the 3D Time-Domain Forward-Speed Free-Surface Green Function and a Second-Order BEM (3 차원 시간영역 전진속도 자유표면 Green 함수와 2 차 경계요소법을 사용한 선체의 방사포텐셜 수치계산)

  • Hong, Do-Chun;Hong, Sa-Young
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.3
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    • pp.258-268
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    • 2008
  • The radiation potential of a ship advancing in waves is studied using the 3D time-domain forward-speed free-surface Green function and the Green integral equation. Numerical solutions are obtained by making use of the 2nd order BEM(Boundary Element Method) which make it possible to take account of the line integral along the waterline in a rigorous manner. The 6 degree of freedom motion memory functions of a hemisphere and the Wigley seakeeping model obtained by direct integration of the time-domain 3D potentials over the wetted surface are presented for various Froude numbers.

An Integral Equation for Kinked Cracks in Finite Plane Bodies (유한영역에서의 꺾인균열 해석을 위한 적분방정식 적용 연구)

  • 서욱환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.9
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    • pp.2138-2144
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    • 1993
  • An integral equation representation of cracks was presented which differs from well-known "dislocation layer" representation. In this new representation, the equations are written in terms of the displacement discontinuity across the crack surfaces rather than derivatives of the displacement-discontinuity. It was shown in that the new technique is well-suited to the treatment of kinked cracks. In the present paper, this integral equation representation is coupled to the direct boundary-element method for the treatment of finite bodies containing kinked cracks. The method is demonstrated for two-dimensional finite domains but extension to three-dimensional problems would appear to be possible. The resulting approach is shown to be simple, yet very accurate. accurate.

Numerical Model for the Analysis of Frosting Behavior (착상 거동 해석을 위한 수치적 모텔)

  • Lee, Kwan-Soo;Yang, Dong-Keun;Jhee, Sung
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.3
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    • pp.261-267
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    • 2002
  • The integral boundary layer equation for the air side and the diffusion equation for the frost layer are numerically analyzed in order to predict the behavior of frost layer growth. The thickness and density of the frost layer obtained from the present study agree well with those of previous numerical results and experimental data with a maximum error of 13%. The characteristics of heat and mass transfer within the frost layer and the frost layer growth along the flow direction are investigated by performing numerical analysis. The effects of operating conditions on the frost layer growth are also examined.

Electromagnetic Scattering Analysis from Inhomogeneous Material Scatterers (불균질 매질내에서의 전자파 산란 해석)

  • 김태용;김석재
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.3
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    • pp.478-484
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    • 2003
  • The electromagnetic wave scattering problems from inhomogeneous material bodies are considered. The formulation is made in terms of mixed potentials for the moment methods (MoM). The surfaces of a three-dimensional inhomogeneous scatterer of arbitrary shape are divide into triangular patches for descretization. Application of the boundary conditions leads to the coupled surface integral equations to be satisfied for the unknown surface equivalent electric and magnetic currents. The radar cross-section (RCS) for some structures is computed and the results are compared with the reported data.

The Analysis of the Current Distribution in a Perfect Conductor Scatterer Using SEM (SEM을 이용한 완전도체 산란체의 전류분포 해석)

  • 박동희;이승호;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.11 no.5
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    • pp.323-331
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    • 1986
  • By solving the current distribution, natual frequencies, and the amplitude of natural modes about the perfect conducting scatterer of revolution are presented. Singularity expansion method is applied to slove the time-domain response based on the simplified E-field integral equation by the application of the extended boundary conditin for the perfect conductin scatterer of revolution.

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AN INTEGRAL EQUATION FOR KINKED CRACKS APPLIED TO MODE III IN FINITE PLANE BODIES (유한영역에서의 모드 III 꺾인균열 해석을 위한 적분방정식 적용연구)

  • Sur, Ukhwan
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.2 no.1
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    • pp.111-129
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    • 1998
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane(modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.

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Comparison Impulse Response Method with Method of Characteristics for Transient Analysis in a Pipeline System with hydraulic devices (수리구조물이 부착된 관망에서의 천이류 해석에 대한 임펄스응답법과 특성선방법의 비교 연구)

  • Song, Yong-Seok;Jang, Il;Kim, Sang-Hyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1179-1183
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    • 2007
  • 관망 내에서 흐름의 연속 방정식과 운동량 방정식을 상 미분으로 전개하여 해석한 특성선 방법은 주로 가압 관망체계(Pressurized Pipeline System)에서의 부정류 해석(Unsteady Analysis)에 사용 된다. 그러나 이특성선 방법은 천이류 해석을 위한 관망 재구성 과정에서 Courant수 조건의 만족을 위한 관의 재배열에 천문학적인 계산용량과 시간이 필요하다는 단점이 있다. 이는 현장 적용 시 압력파 전파속도의 불확실성과 연계되어 상당한 장해요소가 되고 있다. 이에 대안적인 방법으로서 임펄스응답법이 개발되었다. 이는 경계지점에서 복소수 유량에 대한 복소수 수두의 비율로써 정의된 관망에서의 수리임피던스를 역퓨리에 변환에 적용하여, 주파수 영역의 수치를 시간 영역으로 변환하여 응답함수를 산출한 후, 산출된 응답함수와 구해진 경계지점에서의 유량과의 적분을 통하여 임의의 지점에서의 수두 및 유량을 계산하는 방법이다. 임펄스 응답법은 관 부속물관의 특성을 기술하는 수학적 표현의 난해함으로 인해 지금까지는 단일관에 대한 연구에만 국한되어 왔다. 본 연구에서는 임펄스응답법을 수리구조물이 부착된 관망에 적용하여 다양한 조건에서 천이류 분석을 시행하였다. 즉, 에어챔버 및 서지탱크와 같은 수리구조물을 각각에 대한 수리임피던스를 구하고, 가지관 및 통합 관성항으로 취급하여 수리구조물을 처리하였다. 그리고 이러한 결과를 특성선방법과 비교하여 그 적절성을 검증하였는데, 특성선 방법에 의한 모의 결과와 비교하였을 때, 일치하는 결과를 나타내었다. 임펄스응답법에 의한 모의 결과에서 감쇄효과를 과대평가하는 경향이 관찰되었다. 이는 임펄스 응답법의 가정에 기인한 것으로써 난류 상태의 흐름에서 상당한 불일치를 가져올 수 있으나, 수리 구조물에 의한 수격압이 감쇄되는 과정에서 대부분 흐름이 층류 상태로 전환된다고 가정 할 때는 상당한 적용성이 있다. 본 연구는 수리구조물이 부착된 관망의 해석함에 있어서 임펄스응답법의 적용이 가능함을 보였고, 이는 보다 복잡한 관망에서의 천이류 해석이 가능함을 시사한다.

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