• Title/Summary/Keyword: 적분방정식

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A Calculation of hydrodynamic Resistivity and mobility Coefficients for Screw-sensed Microstructural articles (나선형 마이크로 조직체의 수동력학적 저항 및 이동계수 계산에 관한 연구)

  • 김선철
    • The Korean Journal of Rheology
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    • v.7 no.2
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    • pp.101-109
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    • 1995
  • 아주작은 Reynolds수 조건하의 나선형 미세입자가 갖는 저항 및 이동계수를 계산하 는 일반적인 방법을 논하였다. 이러한 문제의 해를 구하기 위해서는 입자의 중심선을 따라 분포되어 있는 stokeslet으로 수식화된 유동장을 필요로 한다. 입자에 작용하는 수동력학적 힘과 토오크는 이러한 stokeslet의 적분에 의하여 구할 수 있는데 유동특성에 따라 2계 이상 의 텐서에 비례한다. Johnson에 의하여 유도된 적분방정식은 LU-분해법을 사용하여 해를 구하였다. 해석 결과의 정확성은 침상체를 모델로 하여 Brenner의 엄밀해와 비교하였으며, 일치된 결과를 얻었다.

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A study on the Array of Circular Loop Antenna in Moving Media (차동기질내에서 위형 루우프 안테나의 배열에 관한 연구)

  • 최병하
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.6
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    • pp.33-37
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    • 1974
  • In this paper, the radiation characteristics for the array of a circular loop antenna is studied in moving media. The medium is assumed to be homogeneous, isotropic, and to move with a constant velocity much less than the speed of light. The integral equation for the current distribution is derived and the current functions is found by means of courier Series as a solution of the integral equation. The electric field is derived from the current on circular loop antenna and the Dyadic Green's Function in moving media. The numerical calculation of the electric field concerning to the two element antenna array,, in which one element is parasitic, is carried out. The field patterns are plotted from the computed values. As a result, the field patterns in moving media, compared with the patterns in stationary media, are found to decrease in the direction of media velocity and increase in the opposite direction, and the maximum directivity is shifted.

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Time-Domain Electric Field Integral Equation Solving for a Stable Solution of Electromagnetic Transient Scattering (안정된 전자파 과도 산란해를 얻기 위한 시간영역 전장 적분방정식 해석)

  • Jeong, Baek-Ho;Kim, Chae-Yeong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.39 no.4
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    • pp.201-208
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    • 2002
  • In this paper, we present a new formulation using time-domain electric field integral equation (TD-EFIE) to obtain transient scattering response from arbitrarily shaped three-dimensional conducting bodies. The time derivative of the magnetic vector potential is approximated with a central finite difference and the scalar potential is time averaged by dividing it into two terms. This approach with an implicit method using central difference results in accurate and more stable transient scattering responses from conducting objects. Detailed mathematical steps are included and several numerical results are presented and compared with the inverse discrete Fourier transform (IDFT) of the frequency-domain solution.

One-dimensional head distribution analysis in two-layer porous media using integral equations (적분방정식(積分方程式)을 이용한 2층(二層) 다공성(多孔性) 매질(媒質)에서의 1차원 수두분포(水頭分布) 해석)

  • Lee, Sang Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.97-103
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    • 1993
  • This paper presents a quasi-analytical method using integral equations to obtain head distributions in unsaturated porous media with different hydrogeologic properties. One-dimensional soultion algorithms were developed for two cases of boundary conditions at the top: 1) constant head and 2) constant flux. Water table elevation at the bottom was assumed known for both cases. The methodology was applied to a fly ash disposal facility in an alluvium area. The results showed that the pressure head distributions had high nonlinearity with large gradients slightly above the interface of two media which made preliminary numerical solutions implausible. The developed method helped to structure finite element grids for improving convergence and accuracy.

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Characteristics of Radiation Pattern and Power Gain for Circular Array Dipole Antennas (원형 배열 다이폴 안테나의 방사 지향성 및 이득 특성)

  • 이종녕;양규식;김기채
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.3
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    • pp.253-259
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    • 2003
  • This paper presents the basic characteristics of a 5 element dipole array antenna which has a four parastic element and one driving element at the center of the circular array. The coupled integral equations for the unknown current distributions on dipole elements are derived and solved by applying Galerkin's method of moments. The numerical results show that the highest power gain of 7.8 dBi is obtained at radius of d = 0.3lλ when two short circuited parastic element neighbors. In order to verify the theoretical analysis, the radiation pattern is compared with Preston's results.

Analysis of Electromagnetic Scattering from Arbitrarily Shaped Three-Dimensional Dielectric Objects Using Combined Field Integral Equation (결합 적분방정식을 이용한 삼차원 임의형태 유전체의 전자파 산란 해석)

  • 정백호;한상호;이화용
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.39 no.10
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    • pp.27-37
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    • 2002
  • In this paper, we present various combined field integral equation (CFIE) formulations for the analysis of electromagnetic scattering from arbitrarily shaped three dimensional homogeneous dielectric body in the frequency domain. For the CFIE case, we propose eight separate formulations with different combinations of testing functions that result in sixteen different formulations of CFIE by neglecting one of testing terms. One of the objectives of this paper is to illustrate that not all CFIE are valid methodologies in removing defects, which occur at a frequency corresponding to an internal resonance of the structure. Numerical results involving far scattered fields and radar cross section (RCS) are presented for a dielectric sphere to illustrate which formulation works and which do not.

Analysis of Resonant Characteristics for a Metallic Shielding Enclosure with a PCB Source (PCB 파원이 내장된 금속 함체의 공진 특성 해석)

  • Cho, Byung-Doo;Kim, Ki-Chai
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.4
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    • pp.507-514
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    • 2012
  • This paper proposed the analysis method of the cavity resonance characteristics for a metallic enclosure with a PCB trace source. In order to calculation the electromagnetic fields inside the cavity, coupled integral equations for a current distribution on the PCB trace and an aperture electric field distribution on the boundary of the PCB dielectric are derived and solved by applying Galerkin's method of moments. The result show that the resonant characteristics of the metallic enclosure are fairly good agreement with the simulation(HFSS) and the measured results. The resonant frequencies of the metallic enclosure with the PCB trace are changed by the PCB trace location inside of the cavity. In order to check the validity of the theoretical analysis, the calculated return losses are compared with the measured results.

A Boundary Integral Approximation for Bending of Elastic Plates (탄성평판 굽힘문제를 위한 경계적분 근사해)

  • Kim, Jin Woo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.4
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    • pp.57-66
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    • 2002
  • 본 연구는 굽힘 하중하에서 탄성평판 구조 해석을 위한 경계적분방법 구성을 주목적으로 하고 체계적인 모듈화시스템 개발의 첫 이론 부분을 확립하였다. 굽힘 문제에서의 4개의 고유변수인 처짐, 기울기, 굽힘모우멘트, 상당 전단력의 항으로 경계적분방정식을 구성하였다. 물리적인 의미를 갖는 두 새로운 핵함수 도입으로 구성된 이들 적분방정식은 경계요소 구성시 나타나는 특이거동의 문제점을 간단한 두 탄성해에 의해 정규화 시켰으며 수치 적분 과정도 Cauchy 주치 적분 수렴성에서의 특별취급과는 달리 효율적으로 일반화시켰다. 경계적분식의 수치해석방법을 서술하였으며 집중하중하의 비대칭문제의 근사수치해를 도시하였다.

A Linear Wave Equation Over Mild-Sloped Bed from Double Integration (이중적분을 이용한 완경사면에서의 선형파 방정식)

  • Kim, Hyo-Seob;Jung, Byung-Soon;Lee, Ye-Won
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.12 no.3
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    • pp.165-172
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    • 2009
  • A set of equations for description of transformation of harmonic waves is proposed here. Velocity potential function and separation of variables are introduced for the derivation. The continuity equation is in a vertical plane is integrated through the water so that a horizontal one-dimensional wave equation is produced. The new equation composed of the complex velocity potential function, further be modified into. A set up of equations composed of the wave amplitude and wave phase gradient. The horizontally one-dimensional equations on the wave amplitude and wave phase gradient are the first and second-order ordinary differential equations. They are solved in a one-way marching manner starting from a side where boundary values are supplied, i.e. the wave amplitude, the wave amplitude gradient, and the wave phase gradient. Simple spatially-centered finite difference schemes are adopted for the present set of equations. The equations set is applied to three test cases, Booij's inclined plane slope profile, Massel's smooth bed profile, and Bragg's wavy bed profile. The present equations set is satisfactorily verified against existing theories including Massel's modified mild-slope equation, Berkhoff's mild-slope equation, and the full linear equation.

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Moment Method of Log-Normal Size Distribution for Coagulation Problem - Constant Collision Kernel Model (대수정규분포의 모멘트 기법을 사용한 응집방정식의 해-상계수를 갖는 응집계수의 경우)

  • 박성훈;이승주;이규원
    • Proceedings of the Korea Air Pollution Research Association Conference
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    • 1999.10a
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    • pp.194-196
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    • 1999
  • 대기나 수용액 속에 부유 입자는 서로 충돌하여 합쳐져서 그 크기가 커지게 된다. 이러한 과정을 응집(Coagulation)이라고 하며, 이는 대기중 부유입자의 농도 및 크기분포의 변화, 구름 속에서의 빗방울형성 등에 매우 중요한 기작 중의 하나이다. 응집방정식은 일반적으로 비선형 편미적분 방정식으로 표현되어 일반 해를 구하는 것은 불가능하다. 이러한 이유로 응집방정식을 풀 때에는 수치 해석적인 방법이 주로 이용되고 있다.(Tolof, 1977; Gelbard and Seinfeld, 1978; Reed ea al., 1980; Mick et al., 1991).(중략)

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