• Title/Summary/Keyword: analytic and numerical analysis

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Numerical analysis of plasma MHD equilibrium (플라즈마 MHD 평형의 수치해석)

  • Lee, Hong-Sik;Whang, Ki-Woong
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.206-209
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    • 1988
  • Fixed boundary MHD static equilibrium for the axisymmetric toroidal plasma is analyzed numerically. The Grad-Shafranov equation is solved using FFM. The toroidal current tenn is expressed by plasma pressure p($\psi$) and toroidal field function g($\psi$). The numerical results are compared to the Solovev analytic equilibrium for the verification of the analysis. For SNUT-79 tokamak device in Seoul National University, flux surfaces and toroidal current profiles according to the variation of p and g profiles are observed. Also the safety factor q and average beta are obtained.

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Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method (기하급수 전개법을 이용한 준해석 민감도의 오차 분석)

  • Dan, Ho-Jin;Lee, Byung-Chai
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.2
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    • pp.262-267
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    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

Two Dimensional Numerical Analysis of HEMT's (HEMT의 2차원 수치해석)

  • 이종람;이재진;맹성재;박성호;박효훈;강태원;김진섭;마동성
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.11
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    • pp.1644-1651
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    • 1989
  • In this paper, a two-dimensional numerical analysis of HEMT's with gate length of 0.6um is performed. In this case, Control Volume Formulation method which has been used in the analysis of heat transfer and fluid flow is used as a numerical method. As a mobility model, empirical formula including the velocithy overshoot phenomena is used instead of two-piece mobility model. The results obtained from this numerical analysis(i.e., the region in which cahnnel is formed, the strength of electric field in the channel, the distribution of potential, and the distribution of electron concentration etc.)are in good agreement with the previous analytic results. And our results also show the parasitic MESFET's operation in the range of the high gate voltage.

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Development of three-dimensional thermal oxidation process simulator and analysis the characteristics of multi-dimensional oxide growth (1 Giga급 집적회로 구현을 위한 3차원 산화 공정 시뮬레이터 개발 및 산화층 성장 특성 분석에 관한 연구)

  • 이준하;황호정
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.8
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    • pp.107-118
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    • 1995
  • Three-dimensional simulator for thermal oxidation process is developed. The simulator is consisted by two individual module, one is analytic-model module and the other is numerical-model module. The analytic-model which uses simple complementary-error function guarantees fast calculation in prediction of multi-dimensional oxidation process. The numerical-model which is based on boundary element method (BEM), has a good accuracy and suitable for various process conditions. The results of this study show that oxide growth is retarded at the corner of hole structure and enhanced at the corner of island structure. These effects are reson of different distribution of oxidant diffusion and mask stress. The utility of models and simulator developed in this study is demonstrated by using it to predict not only traditional shape of LOCOS but also process effects in small geometry.

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A study on the rock-support behavior due to railway tunnel excavation (철도터널 굴착에 의한 암반과 지보재의 거동에 관한 연구)

  • Kim Sun-Kon;Park Jong-Kwan;Jung In-Chul;Lee Seung-Do
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.1077-1082
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    • 2004
  • With increasing the number of tunnel constructions, more reliable analysis methods for tunnel excavation is needed to accomplish technically sound design, and stable and economical constructions. For this purpose, a series of construction procedures, which include excavation and support stages of tunneling, need to be considered. In this study, therefore, rock-support response behavior due to railway tunnel construction has been examined by using analytic methods and numerical calculations. For examining rock-support response behavior, the effects of shotcrete, thickness and time of installation have been considered. Through analytic and numerical calculations, it is shown that support pressure becomes higher with increasing the shotcrete thickness and stiffness, and hence the tunnel deformation tends to be stable. It is also important to notice that there is a significant effect of shotcrete installation time on the tunnel deformation, although no significant change in support pressure is observed.

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Magnetic Field Computations of the Magnetic Circuits with Permanent Magnets using Finite Element Method (유한요소법을 이용한 영구자석 자기회로의 자석 해석)

  • 박영건;정현규;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.33 no.5
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    • pp.167-172
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    • 1984
  • This paper describes the finite element analysis of magnetostatic field problems with permanent magnets. Two kinds of algorithms, one using the magnetic vector potential and the other using the magnetic scalar potential, are introduced. The magnetization of the pemanent magnet is used as the source instead of the magnetic equivalent current in both of the formulations using the magnetic vector potential and the magnetic scalar potential. A simple functional, which has only the region integral instead of the region integral and boundary integral, is derived in the formulation using the magnetic scalar potential. These make the formulation of the system equations simpler and more convenient than the conventional methods. The numerical results by the two proposed algorithms for a C-type permanent magnet model are compared with the analytic solutions respectively. The numerical results are in good agreement with the analytic solutions.

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Dynamic Interaction of Waves with a Moored Structure (계류된 구조물에 작용하는 파도의 동적작용에 대하여)

  • Kim, Chang-Je
    • Journal of Ocean Engineering and Technology
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    • v.6 no.2
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    • pp.94-102
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    • 1992
  • This paper presents the method of numerical analysis concerned with the hydropdynamic forces and moments of the floating bodies exerted by waves. The analytic methods of hydrodynamic wave forces and moments for large volume structures are generally classified into four categories ; the strip method, the boundary element method, the finite element method, and the potential matching method. In the case of the comparatively large structures, diffraction theory can be applied. However, there are no application limits of diffraction theory which have been known concerning with the analytic method of the rectangular structures. In this paper, the two-dimensional B.E.M. is treated for a moored small rectangular structure in order to evaluate applicability of diffraction theory. Numerical calculation is carried out for the structure. The results are compared with some other ones for verification. The result shows that diffraction theory is applicable to structures smaller than 0.15 in the ratio of the representative structure length d to wave length L for rectangular ones.

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Vibration characteristic analysis of high-speed railway simply supported beam bridge-track structure system

  • Jiang, Lizhong;Feng, Yulin;Zhou, Wangbao;He, Binbin
    • Steel and Composite Structures
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    • v.31 no.6
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    • pp.591-600
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    • 2019
  • Based on the energy-variational principle, a coupling vibration analysis model of high-speed railway simply supported beam bridge-track structure system (HSRBTS) was established by considering the effect of shear deformation. The vibration differential equation and natural boundary conditions of HSRBTS were derived by considering the interlayer slip effect. Then, an analytic calculation method for the natural vibration frequency of this system was obtained. By taking two simply supported beam bridges of high-speed railway of 24 m and 32 m in span as examples, ANSYS and MIDAS finite-element numerical calculation methods were compared with the analytic method established in this paper. The calculation results show that two of them agree well with each other, validating the analytic method reported in this paper. The analytic method established in this study was used to evaluate the natural vibration characteristics of HSRBTS under different interlayer stiffness and length of rails at different subgrade sections. The results show that the vertical interlayer compressive stiffness had a great influence on the high-order natural vibration frequency of HSRBTS, and the effect of longitudinal interlayer slip stiffness on the natural vibration frequency of HSRBTS could be ignored. Under different vertical interlayer stiffness conditions, the subgrade section of HSRBTS has a critical rail length, and the critical length of rail at subgrade section decreases with the increase in vertical interlayer compressive stiffness.

A NUMERICAL ANALYSIS ON ELECTROHYDRODYNAMICS (EHD) OF THE FLOW AND THE COLLECTION MECHANISMS INSIDE AN ELECTROSTATIC PRECIPITATOR WITH A SPIRAL SPIKE ELECTRODE (나선 스파이크 전기집진기 내 유동 및 집진 현상에 대한 전기수력학 수치해석 연구)

  • Lee, Sang-Hyuk;Hur, Nahm-Keon
    • Journal of computational fluids engineering
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    • v.13 no.4
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    • pp.58-65
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    • 2008
  • In the present study, a numerical analysis on electrohydrodynamics (EHD) of the flow and the collection mechanisms inside a electrostatic precipitator with a spiral spike electrode were investigated. The phenomena of the electrostatic precipitator include complex interactions between the electric field, the fluid flow and the particle motion. To validate the numerical method, the numerical computation for the electric field of a simple wire-pipe type electrostatic system having an analytic solution were performed. Using this numerical method, the electric field of the spiked electrostatic precipitator was simulated. And the fluid flow and the particle motion inside the spiked electrostatic precipitator were numerically analyzed.

A NUMERICAL ANALYSIS ON ELECTROHYDRODYNAMICS (EHD) OF THE FLOW AND THE COLLECTION MECHANISMS INSIDE A ELECTROSTATIC PRECIPITATOR (전기집진기 내 유동 및 집진 현상에 대한 전기수력학 수치해석 연구)

  • Lee, Sang-Hyuk;Hur, Nahm-Keon
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.276-282
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    • 2008
  • In the present study, a numerical analysis on electrohydrodynamics (EHD) of the flow and the collection mechanism inside a electrostatic precipitator were investigated. The phenomena of the electrostatic precipitator include complex interactions between the electric field, the fluid flow and the particle motion. To validate the numerical method, the numerical computation for the electric field of a simple wire-pipe type electrostatic system having an analytic solution were performed. Using this numerical method, the electric field of the spiked electrostatic precipitator was simulated. And the fluid flow and the particle motion inside the spiked electrostatic precipitator were numerically analyzed.

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