• Title/Summary/Keyword: 시간 영역 유한 차분 방정식

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Analysis of Microwave Inverse Scattering Using the Broadband Electromagnetic waves (광대역 전자파를 이용한 역산란 해석 연구)

  • Lee, Jung-Hoon;Chung, Young-Seek
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.169-174
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    • 2005
  • In this paper, we proposed a new algorithm of the inverse scattering for the reconstruction of unknown dielectric scatterers using the finite-difference time-domain method and the design sensitivity analysis. We introduced the design sensitivity analysis based on the gradient for the fast convergence of the reconstruction. By introducing the adjoint variable method for the efficient calculation, we derived the adjoint variable equation. As an optimal algorithm we used the steepest descent method and reconstructed the dielectric targets using the iterative estimation. To verify our algorithm we will show the numerical examples for the two-dimensional $TM^2$ cases.

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Water Wave Generation by Level Set Method (레블셋 기법을 이용한 파랑 조파)

  • Lee, Haegyun;Lee, Nam-Joo
    • Proceedings of the Korea Contents Association Conference
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    • 2012.05a
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    • pp.143-144
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    • 2012
  • 전통적인 VOF 기법을 이용한 내부 조파 방법을 레블셋 기법에 적용하였다. 기하학적으로 유리한 유한요소법을 이용하여, Navier-Stokes 방정식의 공간차분에는 Characteristic Galerkin 기법을, 시간차분에는 Fractional Four-step 기법을 적용하였다. 중심(x=0)에서 전파하는 경우, 외부조파에 의한 영역내 재반사 문제가 해결되어 선형파를 의도한 바대로 잘 조파할 수 있었다.

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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 Study on the Signal Distortion Analysis using Full-wave Method at VLSI Interconnection (VLSI 인터커넥션에 대한 풀-웨이브 방법을 이용한 신호 왜곡 해석에 관한 연구)

  • 최익준;원태영
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.41 no.4
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    • pp.101-112
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    • 2004
  • In this paper, we developed a numerical analysis model by using ADI-FDTD method to analyze three-dimensional interconnect structure. We discretized maxwell's curl equation by using ADI-FDTD. Using ADI-FDTD method, a sampler circuit designed from 3.3 V CMOS technology is simplified to 3-metal line structure. Using this simplified structure, the time delay and signal distortion of complex interconnects are investigated. As results of simulation, 5∼10 ps of delay time and 0.1∼0.2 V of signal distortion are measured. As demonstrated in this paper, the full-wave analysis using ADI-FDTD exhibits a promise for accurate modeling of electromagnetic phenomena in high-speed VLSI interconnect.

Analysis of the Cylindrical Metamaterial Slab Using the Higher Order-mode Finite Difference Time Domain Method (고차모드 시간영역 유한차분법을 이용한 원통형 메타물질 Slab의 해석)

  • Hong, Ic-Pyo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.1
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    • pp.38-44
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    • 2010
  • In this paper, the higher order FDTD(Finite-Difference Time-Domain) method is used to obtain the frequency response characteristics of the cylindrical metamaterial slab. FDTD method is one of strongest electromagnetic numerical method which is widely used to analyze the metamaterial structure because of its simplicity and the dispersive FDTD equation which has the dispersive effective dielectric constant and permeability are derived to analyze the metamaterials. This derived dispersive FDTD equation has no errors in analyzing the dielectric materials but there are some time and frequency errors in case of analyzing the metamaterials. We used the higher order FDTD method to obtain the accurate frequency response of the metamaterials. Comparisons between the dispersive FDTD method and the higher order FDTD method are performed in this paper also. From the results, we concluded that more accurate frequency response for various metamaterials applications can be obtained using the proposed method in this paper.

Three-dimensional Finite Difference Modeling of Time-domain Electromagnetic Method Using Staggered Grid (엇갈린 격자를 이용한 3차원 유한차분 시간영역 전자탐사 모델링)

  • Jang, Hangilro;Nam, Myung Jin;Cho, Sung Oh;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.20 no.3
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    • pp.121-128
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    • 2017
  • Interpretation of time-domain electromagnetic (TEM) data has been made mostly based on one-dimensional (1-D) inversion scheme in Korea. A proper interpretation of TEM data should employ 3-D TEM forward and inverse modeling algorithms. This study developed a 3-D TEM modeling algorithm using a finite difference time-domain (FDTD) method with staggered grid. In numerically solving Maxwell equations, fictitious displacement current is included based on an explicit FDTD method using a central difference approximation scheme. The developed modeling algorithm simulated a small-coil source configuration to be verified against analytic solutions for homogeneous half-space models. Further, TEM responses for a 3-D anomaly are modeled and analyzed. We expect that it will contribute greatly to the precise interpretation of TEM data.

Time Domain Acoustic Propagation Analysis Using 2-D Pseudo-spectral Modeling for Ocean Environment (해양환경에서 2차원 유사 스펙트럴 모델링을 이용한 시간 영역 음 전달 해석)

  • Kim Keesan;Lee Keunhwa;Seong Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.8
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    • pp.576-582
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    • 2004
  • A computer code that is based on the Pseudo-spectral finite difference algorithm using staggered grid is developed for the wave propagation modeling in the time domain. The advantage of a finite difference approximation is that any geometrically complicated media can be modeled. Staggered grids are advantageous as it provides much more accuracy than using a regular grid. Pseudo-spectral methods are those that evaluate spatial derivatives by multiplying a wavenumber by the Fourier transform of a pressure wave-field and performing the inverse Fourier transform. This method is very stable and reduces memory and the number of computations. The synthetic results by this algorithm agree with the analytic solution in the infinite and half space. The time domain modeling was implemented in various models. such as half-space. Pekeris waveguide, and range dependent environment. The snapshots showing the total wave-field reveals the Propagation characteristic or the acoustic waves through the complex ocean environment.

A Three-Dimensional Galerkin-FEM Model Using Similarity Transform Technique (유사변환기법을 이용한 Galerkin-FEM모델)

  • 강관수;소재귀;정경태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.2
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    • pp.174-185
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    • 1994
  • This paper presents a modal solution of linear three-dimensional hydrodynamic equations using similarity transform technique. The solution over the vertical space domain is obtained using the Galerkin method with linear shape funtions (Galerkin-FEM model). Application of similarity transform to resulting tri-diagonal matrix equations gives rise 掠 a set of uncoupled partial differential equations of which the unknowns are coefficients of mode shape vectors. The proposed method.

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Temperature Property Analysis of Micro Flow Sensor using Thermal Transfer Equation (열운송 방정식을 이용한 마이크로 흐름센서의 온도특성 해석)

  • Kim, Tae-Yong;Chung, Wan-Young
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.1
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    • pp.363-366
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    • 2005
  • A micro flow sensor on silicon substrate allows the fabrication of small components where many different functions can be integrated so that the functionality of the sensors can be increased. Further more, due to the small size of the elements the sensors can be quite fast. A thermal mass flow sensor measures the asymmetry of temperature profile around the heater which is modulated by the fluid flow. In normal, a mass flow sensor is composed of a central heater and a pair of temperature sensing elements around the heater. A new 2-D wide range micro flow sensor structure with three pairs of temperature sensors and a central heater was proposed and numerically simulated by the Finite difference formulation to confirm the feasibility of the flow sensor structure.

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Numerical Modeling of Antenna Transmission for Borehole Ground-Penetrating Radar -Code Development- (시추공 레이다를 위한 안테나 전파의 수치 모델링 -프로그램 개발-)

  • Chang, Han-Nu-Ree;Kim, Hee-Joon
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.265-270
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    • 2006
  • High-frequency electromagnetic (EM) wave propagation phenomena associated with borehole ground-penetrating radar (GPR) surveys are complex. To improve the understanding of governing physical processes, we present a finite-difference time-domain solution of Maxwell's equations in cylindrical coordinates. This approach allows us to model the full EM wavefield associated with borehole GPR surveys. The algorithm can be easily implemented perfectly matched layers for absorbing boundaries, frequency-dependent media, and finite-length transmitter antenna.

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