• Title/Summary/Keyword: Finite Difference Method(FDM)

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A Study on the Simulation of Beam Trajectory in the Electron-Gun by FDM using the Irregular Mesh (불균등 Mesh를 사용한 유한차분법에 의한 전자총의 Beam 궤적 Simulation에 관한 연구)

  • 김남호;정현열;이무용;정기호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.8
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    • pp.719-731
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    • 1991
  • This paper introduces a relatively simple computer simulation method for analyzing trajectory of electron beam in cylindrical electrode of the CRT, which outputs the cutoff voltag, beam current, spot size and plots out the trajectory, rom the input data on physical construction and applied voltages of electron gun. In order to improve computing speed in obtaining potential distibution, the authors have ivided the space into seveal setos and allocated different mesh sizes epending on the acuracy required to each sector and applied the finite difference method in calculation. The plot of trajectoy obtained from the simulation provided useful insight into the focusing mechanism of the CRT. The computed and measured result including beam curent. spot sizs and cutoff voltages for several model guns have ageed within eperimental error. The simulation program enables the designer to compare the effects of varied electrode shpe without the epense of building an actual gun and may be appli in esigning and implementing the electron gun assemply.

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Development of 2D Urban Inundation Analysis Model using Adaptive Mesh Refinement Method (메쉬 세분화 기법을 이용한 2차원 침수해석 모형의 개발)

  • Lee, Seung-soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.93-93
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    • 2016
  • 최근 증가하고 있는 기후변화에 의해 설계빈도를 상회하는 강우의 발생빈도가 증가하고 있으며, 이로 인한 도시유역의 내수범람 피해가 증가하고 있다. 도시유역에서 발생하는 침수 피해의 경우 인적 물적 자원이 집중되어 있는 도시의 특성으로 인해 침수로 인한 직접적 피해 규모가 상당할 뿐만 아니라 침수 발생 후 세균 및 박테리아에 의해 발생하는 수인성 전염병의 유행 등과 같은 2차적 피해 또한 심각한 사회적 비용을 초래할 수 있어 도시유역의 침수 피해를 저감시키기 위한 대책이 절실히 요구되어지고 있다. 도시유역의 침수를 예방하기 위한 대책은 구조적 비구조적 대책으로 구분되어 질 수 있으며 구조적 대책의 경우 침수 피해 예방에 직접적인 효과를 낼 수 있다는 장점이 있으나 대규모 사업예산 및 사업 기간으로 인해 직접적 효과를 보기까지 상대적으로 긴 시간이 필요할 뿐만 아니라 사업 진행 중 대상지역 거주민들의 민원으로 인한 갈등 조정 등으로 인해 사업실행에 어려움을 겪고 있다. 이러한 측면에서 비구조적 대책의 일환인 수치해석을 통한 침수피해 재현 및 침수원인 파악을 통한 구조개선 제안은 구조적 대책의 단점을 보완할 수있는 좋은 대안이 될 수 있다. 도시유역의 경우 비도시유역과 대조적인 차이점으로는 높은 비율의 불투수층, 복잡한 지형, 다수의 인공 구조물 및 배수관망 시스템 등을 들 수 있으며, 침수해석 모형의 정확도를 높이기 위해서는 복잡한 지형의 효율적인 처리가 무엇보다 중요하다. 일반적으로 이용되는 2차원 침수해석 모형들은 직교구조 격자 또는 비구조 격자를 이용하여 지형을 묘사하고 있으며 DEM 자료를 직접 사용하는 직교구조 격자의 경우 지형 데이터 생성이 상대적으로 쉽다는 장점이 있으나 복잡한 지형을 표현하기 위해서는 불필요한 지역까지 높은 해상도를 이용해야 하며 이로 인하여 모의시간이 지나치게 길어지는 문제점이 발생한다. 비구조 격자의 경우 상대적으로 복잡한 도시 유역을 잘 묘사할 수 있다는 장점이 있으나 격자망 생성에 필요한 데이터가 많고 격자망 생성에 지나치게 많은 시간과 노력이 소요된다는 단점이 있다. 따라서 본 연구에서는 위에서 언급한 두 가지 방법의 장점만을 취할 수 있도록 메쉬 세분화 기법을 이용한 2차원 침수해석 모형을 개발 하여 복잡한 지형은 고해상도 메쉬를 이용하여 보다 자세히 묘사하고 상대적으로 복잡하지 않은 지형은 저해상도 메쉬를 이용하여 계산시간을 단축시킬 수 있도록 하였다. 수치해석 기법으로는 엇갈림 격자를 이용하는 Leap-Frog 기법과 유한차분 (Finite difference Method)기법을 이용하였다.

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The Study of Relationship between Berm Width and Debris Flow at the Slope (사면에서 토석류와 소단폭의 관계성에 관한 연구)

  • Kim, Sungduk;Oh, Sewook;Lee, Hojin
    • Journal of the Korean GEO-environmental Society
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    • v.14 no.11
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    • pp.5-12
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    • 2013
  • The purpose of this study is to estimate the behavior and the mechanism of debris flow at the end of mountain side when a berm was set on the inclined plane. The numerical model was performed by using the Finite Difference Method(FDM) based on the equation for the mass conservation and momentum conservation. In order to measure the behavior of the debris flow, the debris flow of a straight channel slope and the debris flow of channel slope with 3 types of berms were compared. First, the flow discharge and the sediment volume concentration at the downstream of the channel slope, depending on the various berm width and the different inflow discharges at the upstream of the channel were analyzed. The longer the berm width, the flow discharge at the downstream of the channel was decreased and the high flow fluctuation was reduced by a berm. And it means that a berm can effect for the delay of the debris flow. Through Root Mean Square ratio(RMS) comparison, the flow discharge of the channel slope with a berm was lower than that of a straight channel slope. The longer the berm width, for the sediment volume concentration, an inflection point did not show but mild curve. Because the low sediment concentration with water mixture by a berm continuously flow at the downstream end, it will be effect for reducing the disaster caused by debris flow. The results of this study will provide useful information in predicting and preventing disaster caused by the debris flow.

Suitability of Counter-current Model for Biogas Separation Processes using Cellulose Acetate Hollow Fiber Membrane (셀룰로오스 아세테이트 중공사 분리막을 이용한 바이오가스 분리에 대한 향류 흐름 모델의 적용성)

  • Jung, Sang-Chul;Kwon, Ki-Wook;Jeon, Mi-Jin;Jeon, Yong-Woo
    • Journal of the Korea Organic Resources Recycling Association
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    • v.28 no.4
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    • pp.43-52
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    • 2020
  • As the membrane gas separation technology grows, various models were developed by numerous researchers to describe the separation process. In this work, the counter-current model was compared thoroughly with experimental data. Experimentally, hollow fiber membrane using CA module was prepared for the separation of biogas. The pure gas permeation properties of membrane module for methane, nitrogen, oxygen, and carbon dioxide were measured. The permeance of CO2 and CH4 were 25.82 GPU and 0.65 GPU, respectively. The high CO2/CH4 selectivity of 39.7 was obtained. the separation test for three different simulated mixed gases were carried out after pure gas test, and the gas concentration of the permeate at various stage-cut were measured from CA membrane module. Results showed that the experimental data agreed with the numerical simulation. A mathematical model has implemented in this study for the separation of biogas using a membrane module. The finite difference method (FDM) is applied to calculate the membrane biogas separation behaviors. Futhermore, the counter-current model can be considered as a convenient model for biogas separation process.

Optical Properties of Vertical Cavity Laser - Depleted Optical Thyristor for Low Threshold Current (낮은 문턱 전류를 위한 Vertical Cavity Laser - Depleted Optical Thyristor 의 레이징 특성에 관한 연구)

  • Choi Woon-Kyung;Choi Young-Wan
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.43 no.7 s.349
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    • pp.1-6
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    • 2006
  • We show for the first time the optical properties of the selectively oxidized vertical cavity laser (VCL) - depleted optical thyristor (DOT), which has not only a low threshold current, but also a high sensitivity to the optical input light. In order to analyze their switching characteristics, nonlinear s-shaped current-voltage characteristics are calculated and the reverse full-depletion voltages (Vneg's) are obtained as function of semiconductor parameters by using a finite difference method (FDM). The selectively oxidized PnpN VCL-DOT clearly shows the nonlinear s-shaped current-voltage and lasing characteristics. A switching voltage of 5.24 V, a holding voltage of 1.50 V, a spectral response at 854.5 nm, and a very low threshold current of 0.65 mA is measured, making these devices attractive for optical processing applications.

The Throughflow Effects on Natural Convection in Horizontal Porous Layer (수평 다공층에서 수직 관통류가 자연대류 열전달에 미치는 영향에 관한 연구)

  • 서석진
    • Journal of Energy Engineering
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    • v.7 no.2
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    • pp.209-215
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    • 1998
  • This paper investigated the vertical throughflow effects on natural convection due to heating from below in horizontal porous layer. The motion of the fluid in the porous layer is governed by Brinkman-Darcy equation. And compared Critical Rayleigh number in case of throughflow with no throughflow. Investigated Nusslet number, isothermalline and flow with the variation of the strength of throughflow in a constant Rayleigh number. In the numerical analysis, flow is assumed to be two-dimensional and unsteady. The numerical scheme used is a finite-difference method. In the experimental study, Temperature distribution was measured by use of Liquid Crystal film. As a results, indicated that throughflow influences largely on the temperature field and as the strength of throughflow increased, unstability of natural convection decreased. Also it could predict the strength of natural convection with the measured Nusselt number.

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Effectiveness of the Electrode Arrays for Delineating 2-D Subsurface Structure (2차원 지하구조 규명을 위한 전극배열의 효율성)

  • Yoon, Jong-Ryeol;Lee, Kiehwa
    • Economic and Environmental Geology
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    • v.29 no.3
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    • pp.345-355
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    • 1996
  • The effectiveness of various electrode configurations in horizontal mappings and 1-D inversions of vertical sounding data for delineating 2-D structures was studied. Apparent resistivity values of three point, dipole-dipole, Wenner, and Schlumberger mappings were simulated for such structures as vertical dyke, tabular prism, buried vertical fault, ramp and complex structure by finite difference method (FDM) and they were compared with each other. Also 2-D cross sections for three structures obtained by interpolation of 1-D inverted sounding data in terms of three layers were compared for Schlumberger and Wenner arrays. On these cross sections, horizontal and vertical resistivity interfaces of the 2-D structures are revealed relatively clearly. Apparent resistivity curves of Schlumberger mapping show vertical resistivity discontinuities very well. On the whole, Schlumberger array is superior to the other arrays in electric sounding as well as mapping. This study clearly indicates that interpretations of 2-D structures based on 1-D inversion are possible.

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Reverse-time Migration for VTI and TTI Media (VTI 및 TTI 매질에서의 역시간 구조보정)

  • Kwak, Na-Eun;Min, Dong-Joo;Bae, Ho-Seuk
    • Geophysics and Geophysical Exploration
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    • v.14 no.3
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    • pp.191-202
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    • 2011
  • Reserve-time migration (RTM) using a two-way wave equation is one of the most accurate migration techniques. RTM has been conducted by assuming that subsurface media are isotropic. However, anisotropic media are commonly encountered in reality. Conventional isotropic RTM may yield inaccurate results for anisotropic media. In this paper, we develop RTM algorithms for vertical transversely isotropic media (VTI) and tilted transversely isotropic media (TTI). For this, the pseudo-acoustic wave equations are used. The modeling algorithms are based on the high-order finite-difference method (FDM). The RTM algorithms are composed using the cross-correlation imaging condition or the imaging condition using virtual sources. By applying the developed RTM algorithms to the Hess VTI and BP TTI models, we could obtain better images than those obtained by the conventional isotropic RTM.

The Modified Eulerian-Lagrangian Formulation for Cauchy Boundary Condition Under Dispersion Dominated Flow Regimes: A Novel Numerical Approach and its Implication on Radioactive Nuclide Migration or Solute Transport in the Subsurface Environment

  • Sruthi, K.V.;Suk, Heejun;Lakshmanan, Elango;Chae, Byung-Gon;Kim, Hyun-su
    • Journal of Soil and Groundwater Environment
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    • v.20 no.2
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    • pp.10-21
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    • 2015
  • The present study introduces a novel numerical approach for solving dispersion dominated problems with Cauchy boundary condition in an Eulerian-Lagrangian scheme. The study reveals the incapability of traditional Neuman approach to address the dispersion dominated problems with Cauchy boundary condition, even though it can produce reliable solution in the advection dominated regime. Also, the proposed numerical approach is applied to a real field problem of radioactive contaminant migration from radioactive waste repository which is a major current waste management issue. The performance of the proposed numerical approach is evaluated by comparing the results with numerical solutions of traditional FDM (Finite Difference Method), Neuman approach, and the analytical solution. The results show that the proposed numerical approach yields better and reliable solution for dispersion dominated regime, specifically for Peclet Numbers of less than 0.1. The proposed numerical approach is validated by applying to a real field problem of radioactive contaminant migration from radioactive waste repository of varying Peclet Number from 0.003 to 34.5. The numerical results of Neuman approach overestimates the concentration value with an order of 100 than the proposed approach during the assessment of radioactive contaminant transport from nuclear waste repository. The overestimation of concentration value could be due to the assumption that dispersion is negligible. Also our application problem confirms the existence of real field situation with advection dominated condition and dispersion dominated condition simultaneously as well as the significance or advantage of the proposed approach in the real field problem.

Wake-induced vibration of the hanger of a suspension bridge: Field measurements and theoretical modeling

  • Li, Shouying;Deng, Yangchen;Lei, Xu;Wu, Teng;Chen, Zhengqing
    • Structural Engineering and Mechanics
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    • v.72 no.2
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    • pp.169-180
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    • 2019
  • The underlying mechanism of the wind-induced vibration of the hangers of the suspension bridges is still not fully understood at present and hence is comprehensively examined in this study. More specifically, a series of field measurements on the No. 2 hanger of the Xihoumen Bridge was first carefully conducted. Large amplitude vibrations of the hanger were found and the oscillation amplitude of the leeward cable was obviously larger than that of the windward cables. Furthermore, the trajectory of the leeward cable was close to an ellipse, which agreed well with the major characteristics of wake-induced vibration. Then, a theoretical model for the wake-induced vibration based on a 3-D continuous cable was established. To obtain the responses of the leeward cable, the finite difference method (FDM) was adopted to numerically solve the established motion equation. Finally, numerical simulations by using the structural parameters of the No. 2 hanger of the Xihoumen Bridge were carried out within the spatial range of $4{\leq}X{\leq}10$ and $0{\leq}Y{\leq}4$ with a uniform interval of ${\Delta}X={\Delta}Y=0.25$. The results obtained from numerical simulations agreed well with the main features obtained from the field observations on the Xihoumen Bridge. This observation indicates that the wake-induced vibration might be one of the reasons for the hanger oscillation of the suspension bridge. In addition, the effects of damping ratio and windward cable movement on the wake-induced vibration of the leeward cable were numerically investigated.