• 제목/요약/키워드: 3D Poisson's equation

검색결과 22건 처리시간 0.018초

A New Two-Dimensional Model for the Drain-Induced Barrier Lowering of Fully Depleted Short-Channel SOI-MESFET's

  • Jit, S.;Pandey, Prashant;Pal, B.B.
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제3권4호
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    • pp.217-222
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    • 2003
  • A new two-dimensional analytical model for the potential distribution and drain-induced barrier lowering (DIBL) effect of fully depleted short-channel Silicon-on-insulator (SOI)-MESFET's has been presented in this paper. The two dimensional potential distribution functions in the active layer of the device is approximated as a simple parabolic function and the two-dimensional Poisson's equation has been solved with suitable boundary conditions to obtain the bottom potential at the Si/oxide layer interface. It is observed that for the SOI-MESFET's, as the gate-length is decreased below a certain limit, the bottom potential is increased and thus the channel barrier between the drain and source is reduced. The similar effect may also be observed by increasing the drain-source voltage if the device is operated in the near threshold or sub-threshold region. This is an electrostatic effect known as the drain-induced barrier lowering (DIBL) in the short-gate SOI-MESFET's. The model has been verified by comparing the results with that of the simulated one obtained by solving the 2-D Poisson's equation numerically by using the pde toolbox of the widely used software MATLAB.

단섬유 복합재료의 탄성계수 예측 (Prediction of effective stiffness on short fiber reinforced composite materials)

  • 임태원;한경섭
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.611-617
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    • 1991
  • Effective stiffness of short fiber composite with a three-dimensional random orientation of fibers is derived theoretically and compared with available experimental data. The laminate analogy and transformed laminate analogy are used for modulus prediction of 2-D and 3-D random composites, respectively. The effective stiffness of random oriented fiber composite can be expressed in terms of longitudinal and transverse stiffnesses of unidirectional composites. The result of transformed laminate analogy is more accurate than other approaches such as, Christensen-Waals equational and Lavengood-Goettler equation, etc. Also the effective properties of random oriented fiber composite can be expressed in terms of fiber and matrix properties such as elastic modulus, shear modulus and Poisson's ratio.

Footing settlement formula based on multi-variable regression analyses

  • Hamderi, Murat
    • Geomechanics and Engineering
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    • 제17권1호
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    • pp.11-18
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    • 2019
  • The formulas offered so far on the settlement of raft footings provide only a rough estimate of the actual settlement. One of the best ways to make an accurate estimation is to conduct 3-dimensional finite element analyses. However, the required procedure for these analyses is comparatively cumbersome and expensive and needs a bit more expertise. In order to address this issue, in this study, a raft footing settlement formula was developed based on ninety finite element model configurations. The formula was derived using multi-parameter exponential regression analyses. The settlement formula incorporates the dimensions and the elastic modulus of a rectangular raft, vertical uniform pressure and soil moduli and Poisson's ratios up to 5 layers. In addition to this, an equation was offered for the estimation of average deflection of the raft. The proposed formula was checked against 3 well-documented case studies. The formula that is derived from 3D finite element analyses is useful in optimising the raft properties.

CFD에로의 Fuzzy 추론 응용에 관한 연구 - 반복계산을 위한 퍼지제어의 유효성 - (Fuzzy Reasoning on Computational Fluid Dynamics - Feasibility of Fuzzy Control for Iterative Method -)

  • 이연원;정용옥;박외철;이도형;배대석
    • 동력기계공학회지
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    • 제2권3호
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    • pp.21-26
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    • 1998
  • Numerical simulations for various fluid flows require enormous computing time during iterations. In order to solve this problem, several techniques have been proposed. A SOR method is one of the effective methods for solving elliptic equations. However, it is very difficult to find the optimum relaxation factor, the value of this factor for practical problems used to be estimated on the basis of expertise. In this paper, the implication of the relaxation factor are translated into fuzzy control rules on the basis of the expertise of numerical analysers, and fuzzy controller incorporated into a numerical algorithm. From two cases of study, Poisson equation and cavity flow problem, we confirmed the possibility of computational acceleration with fuzzy logic and qualitative reasoning in numerical simulations. Numerical experiments with the fuzzy controller resulted in generating a good performance.

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자기공명유속계 (MRV) 에서 3차원 다중경로 선적분법을 활용한 비침습적 압력예측 방법 개발 (Development of Non-Invasive Pressure Estimation Using 3D Multi-Path Line Integration Method from Magnetic Resonance Velocimetry (MRV))

  • 장일훈;무함마드 하피즈 아리푸딘;송시몬
    • 한국가시화정보학회지
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    • 제21권2호
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    • pp.14-23
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    • 2023
  • The pressure difference across stenotic blood vessels is a commonly used clinical metric for diagnosing many cardiovascular diseases. At present, most clinical pressure measurements rely solely on invasive catheterization. In this study, we propose a novel method for non-invasive pressure estimation using the incompressible Navier-Stokes equations and a 3D multi-path integration approach. We verify spatio-temporal convergence on an in-silico dataset of a cylindrical straight pipe phantom with steady and pulsatile flow fields. We then evaluate the proposed method on an in vitro dataset of reconstructed control, pre-operative, and post-operative carotid artery cases acquired from 4D flow MRI. The performance of our method is compared to existing approaches based on the pressure Poisson equation and work-energy relative pressure. The results demonstrate the proposed method's high accuracy, robustness to spatio-temporal subsampling, and reduced sensitivity to noise, highlighting its great potential for non-invasive pressure estimation.

3차원 포아송방정식을 이용한 FinFET의 해석학적 포텐셜모델

  • 한지형;정학기;정동수;이종인;권오신
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2008년도 추계종합학술대회 B
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    • pp.579-582
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    • 2008
  • 본 연구에서는 문턱전압이하 전류 및 단채널효과를 해석하기 위하여 필수적인 포텐셜분포를 구하기 위하여 3차원 포아송방정식을 이용하고자 한다. 특히 계산시간을 단축시키고 파라미터의 관련성을 이해하기 쉽도록 해석학적 모델을 제시하고자 한다. 이 모델의 정확성을 증명하기 위하여 3차원 수치해석학적 모델과 비교되었으며 소자의 크기파라미터 및 공정파라미터에 따른 변화에 대하여 설명하였다. 특히 채널 도핑여부에 따라 FinFET의 채널 포텐셜을 구하여 향후 문턱전압이하 전류 해석 및 문턱전압 계산에 이용할 수 있도록 모델을 개발하였다.

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PARKER-JEANS INSTABILITY IN THE GALACTIC GASEOUS DISK. I. LINEAR STABILITY ANALYSIS AND TWO-DIMENSIONAL MHD SIMULATIONS

  • LEE S. M.;KIM JONGSOO;FRANCO J.;HONG S. S.
    • 천문학회지
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    • 제37권4호
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    • pp.249-255
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    • 2004
  • Here we present a linear stability analysis and an MHD 2D model for the Parker-Jeans instability in the Galactic gaseous disk. The magnetic field is assumed parallel to a Galactic spiral arm, and the gaseous disk is modelled as a multi-component, magnetized, and isothermal gas layer. The model employs the observed vertical stratifications for the gas density and the gravitational acceleration in the Solar neighborhood, and the self-gravity of the gas is also included. By solving Poisson's equation for the gas density stratification, we determine the vertical acceleration due to self-gravity as a function of z. Subtracting it from the observed gravitational acceleration, we separate the total acceleration into self and external gravities. The linear stability analysis provides the corresponding dispersion relations. The time and length scales of the fastest growing mode of the Parker-Jeans instability are about 40 Myr and 3.3 kpc, respectively. In order to confirm the linear stability analysis, we have performed two-dimensional MHD simulations. These show that the Parker-Jeans instability under the self and external gravities evolves into a quasi-equilibrium state, creating condensations on the northern and southern sides of the plane, in an alternate manner.

2차원 N-P-N 바이폴라 트랜지스터의 수치해석-BIPOLE (Numerical Analysis of a Two-Dimensional N-P-N Bipolar Transistor-BIPOLE)

  • 이종화
    • 대한전자공학회논문지
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    • 제21권2호
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    • pp.71-82
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    • 1984
  • 2차원 n-p-n 바이폴라 트랜지스터의 수치해석을 위한 프로그램(BIPOLE)을 개발하였다. 이 프로그램은 SRH와 Auger 재결합 기구들과 불순물 농도와 전계강도에 대한 운송자 이동도의 의존성과 밴드 갭 축소 효과들을 포함하고 있다. Poisson 방정식에는 Newton법을 또 정공과 전자의 연속 방정식에는 발산이론을 이용하여 여러가지 물리적인 제한없이 기본 반도체 방정식들에 대한 유한차분 공식들을 만들었다. 선형화된 방정식들의 계수 행렬은 희소 대칭 M 행렬이었는데 그 해를 구하기 위해 ICCG법과 Gummel의 알고리즘을 적용하였다. 이 프로그램 BIPOLE를 n-p-n 트랜지스터의 여러가지 정상 상태 문제에 적용시켰다. 그 응용의 보기로서 공통 에미터 전류이득의 변화, 에미터 용량에 대한 확산용량이 미치는 영향과 입출력 특성곡선들을 계산해 보았다. 전위 분포와 전자와 정공 농도분포와 같은 계산 결과를 3차원 컴퓨터 그래픽으로 도시하였다. 이 프로그램은 장차 2차원 트랜지스터의 교류 및 왜곡 현상의 수치해석의 기초로 이용될 것이며, 이 프로그램에 관심있는 모든 분들께 공급될 것이다.

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3차원 10절점-상당요소에 의한 굽힘문제의 정적.동적해석 (Static and Dynamic Analyses of Bending Problems Using 3-Dimensional 10-Node Equivalent Element)

  • 권영두;윤태혁
    • 전산구조공학
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    • 제10권4호
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    • pp.117-130
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    • 1997
  • 본 논문에서는 등방성판의 인장이나 전단변형은 물론 굽힘문제에도 적용할 수 있는 3차원 고체요소들 중에서 최소의 자유도를 갖는 수정 10절점 상당요소를 제안하였다. 제안된 수정 10절점 상당요소는 Q11요소나 20절점요소로부터 자유도가 줄어듬에 기인한 과대한 굽힘강성을 나타낸다. 이러한 상대적 강성과잉 현상을 수정하기 위한 효과적인 방법으로 가우스 적분점 수정 방법을 제안하였다. 수정량은 포아송 비의 함수이다. 수정 10절점 상당요소의 효과를 여러 가지 예에 적용하여 검증하였다. 제안된 수정 10절점 상당요소에 의한 등방성판의 정적해석과 자유진동 해석의 결과들은 20절점요소를 사용한 결과들과 잘 일치하였다.

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C-1 유한요소법에 의한 축대칭장 문제의 해석 (The Analysis of Axisymmetric Field Problem by C-1 FEM)

  • 장잉규;곽동수;신홍교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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    • pp.21-23
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    • 1999
  • In this paper, the analysis of the electric field in the chamber of high voltage $SF_6$ GCB(Gas Circuit Breaker) is presented by using C-1 FEM. For this purpose, pre-processing program and post-processing program were developed for axisymmetirc 3 dimensional analysis and the electric field in cylindric chamber was analyzed. Important problem is that electric analysis must be considered coronal due to break-down of $SF_6$ when it is cutted off. To solve this problem, a procedure is needed to verify that the solution of Poisson's equation for scalar potential satisfy charge continuos condition because of using first order element os not satisfy the electric continuous condition, C-1 FEM is introduce to obtain electirc potential and electric field at the same time. Analysis of the distribution of electric field on model was done. It is confirmed that the developed program in this paper applicable to design and to analyze of characteristics in total program as electric characteristics analysis routine.

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