• 제목/요약/키워드: finite difference coefficient

검색결과 187건 처리시간 0.023초

Effect of anisotropic diffusion coefficient on the evolution of the interface void in copper metallization for integrated circuit

  • Choy, J.H.
    • 한국결정성장학회지
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    • 제14권2호
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    • pp.58-62
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    • 2004
  • The shape evolution of the interface void of copper metallization for intergrated circuits under electromigration stress is modeled. A 2-dimensional finite-difference numerical method is employed for computing time evolution of the void shape driven by surface diffusion, and the electrostatic problem is solved by boundary element method. When the diffusion coefficient is isotropic, the numerical results agree well with the known case of wedge-shape void evolution. The numerical results for the anisotropic diffusion coefficient show that the initially circular void evolves to become a fatal slitlike shape when the electron wind force is large, while the shape becomes non-fatal and circular as the electron wind force decreases. The results indicate that the open circuit failure caused by slit-like void shape is far less probable to be observed for copper metallization under a normal electromigration stress condition.

Euler 방정식을 사용한 익형 주위에서의 유동장 해석 (A Flowfield Analysis Around an Airfoil by Using the Euler Equations)

  • 김문상
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 춘계 학술대회논문집
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    • pp.186-191
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    • 1999
  • An Euler solver is developed to predict accurate aerodynamic data such as lift coefficient, drag coefficient, and moment coefficient. The conservation law form of the compressible Euler equations are used in the generalized curvilinear coordinates system. The Euler solver uses a finite volume method and the second order Roe's flux difference splitting scheme with min-mod flux limiter to calculate the fluxes accurately. An implicit scheme which includes the boundary conditions is implemented to accelerate the convergence rate. The multi-block grid is integrated into the flow solver for complex geometry. The flowfields are analyzed around NACA 0012 airfoil in the cases of $M_{\infty}=0.75,\;\alpha=2.0\;and\;M_{\infty}=0.80,\;\alpha=1.25$. The numerical results are compared with other numerical results from the literature. The final goal of this research is to prepare a robust and an efficient Navier-Stokes solver eventually.

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유한열전도율(有限熱傳導率)의 격판(隔板)을 갖는 수직구형(垂直矩形) 밀폐공간(密閉空間)에서의 자연대류(自然對流)에 관(關)한 수치적(數値的) 연구(硏究) (A Computational Study of Natural Convection in Vertical Rectangular Enclosures with Partiton Plates of Finite Thermal Conductivity)

  • 박만흥;이재헌
    • 태양에너지
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    • 제2권1호
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    • pp.1-8
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    • 1982
  • A theoretical study by numerical method has been performed on the natural convection of an air contained in enclosures. The enclosures have rectangular cross section with one vertical wall heated and the other cooled, and with two horizontal partition plates of finite thermal conductivity. Steady two-dimensional flow was assumed. The computation was executed by means of the Implicit Alternating Direction (I.A.D) finite-difference method. Two partition plates of Aluminium whose thickness were 0.05mm was employed in computation. Isothemals, streamlines, local Nusselt numbers and mean Nusselt numbers were obtained for various Grashof numbers and aspect ratio and these results were compared with those in the case of the enclosure with two horizontal insulated plates. From the present results, the heat transfer in the case of partition plates was greater than that in the case of insulation. This study suggests a method to measure the overall heat-transfer of coefficient in double walls which supported by partition plates for insulative construction.

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압밀계수변화 및 지층조건이 압밀현상에 미치는 영향 (Influence of Changing Coefficient of Consolidation and Layered Condition on Consolidation Behavior)

  • 전제성;구자갑;이송
    • 한국구조물진단유지관리공학회 논문집
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    • 제9권1호
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    • pp.147-157
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    • 2005
  • 본 연구에서는 다양한 지층조건과 압밀특성의 변화를 반영하여, 프리로딩 공법 및 연직배수공법을 독립적 혹은 복합적으로 적용했을 경우 발생할 수 있는 연약지반의 압밀거동을 보다 정확히 예측할 수 있는 방안을 제시하고자 한다. 전체적으로는 수직배수만을 고려한 1차원 압밀현상의 예측과 관련된 내용 및 수직배수와 수평배수를 동시에 고려한 축대칭 압밀현상의 예측에 관한 내용을 포함한 압밀해석 프로그램을 개발하였다. 각 조건별 기본 해석알고리즘의 개발과 함께 이질층에 대한 경계면 방정식 및 유효응력을 함수로하는 압밀계수 함수식을 해석기법에 추가하였다. 이를 이용하여 다양한 경계면 조건과 압밀계수의 변화가 압밀현상에 미치는 영향을 분석하였다.

얇은 layer가 존재하는 접촉표면의 열적거동에 대한 연구 (A Study on the Thermal Behaviour of Layered Solids in Sliding Contacts)

  • 안효석
    • Tribology and Lubricants
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    • 제5권2호
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    • pp.42-47
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    • 1989
  • The thermal behaviour of layerd solids, typified in practice by surface coated materials, is evaluated for the specific case of a fast moving heat source. This is intended to represent the particular instance of solids in sliding contact and the consequences of friction. The finite difference method has been utilised to establish the temperature distributions at the surface and also the sub-surface region for coating materials which are either less conductive or more conductive than the substrate to which they are attached. The effects of variation in layer thickness, and also the load, speed and friction coefficient, are evaluated.

열전도의 역문제 방법을 이용한 대형 LPG 엔진 피스톤의 열부하 해석 (Analysis of Thermal Loading of a Large LPG Engine Piston Using the Inverse Heat Conduction Method)

  • 박철우;이부윤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.820-827
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    • 2006
  • The convection heat transfer coefficients on the top surface of a large liquid petroleum liquid injection(LPLi) engine piston are analyzed by solving an inverse thermal conduction problem. The heat transfer coefficients are numerically found so that the difference between analyzed temperatures from the finite element method and measured temperatures is minimized. Using the resulting heat transfer coefficients as the boundary condition, temperature of a large LPLi engine piston is analyzed.

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전자기적 결합을 이용한 이층 마이크로스트립선로의 접속 구조 (Interconnection structures of bilevel microstriplines using electromagnetic coupling)

  • 박기동;이현진;임영석
    • 전자공학회논문지A
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    • 제32A권8호
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    • pp.47-55
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    • 1995
  • Proximity-coupled open-end microstrip interconnections in bilevel planar structures are investigated through three-dimensional finite-difference time-domain(3D-FDTD) method. Three types of EMC (electromagnetically coupled) microstriplines are considered, collinear lines, transverse lines and modified EMC structure. From the analyzed results, it is found that these EMC interconnections have the coupling coefficient enough to interconnect lines in bilevel structures over a broad-band. The computed results of the modified EMC structure was compared with measurement from physical model and the computed results of via hole interconnection.

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유한 요소법을 이용한 $CO_2$아아크 용접부의 용입깊이와 열영향부 크기 예측 (Prediction of Penetration and Heat Affected Zone by Using Finite Element Method in $CO_2$ Arc Welding)

  • 이정익;박일철;박기영;엄기원
    • Journal of Welding and Joining
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    • 제10권4호
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    • pp.222-229
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    • 1992
  • A prediction of penetration and heat affected zone by using Finite Element Method in CO$_{2}$ Arc Welding has been discussed this paper. The temperature distribution of a base metal produced by the CO$_{2}$ arc welding processing is analyzed by using a three dimensional finite element model. The common finite element program ANSYS 4.4A was employed to obtain the numerical results. Temperature dependent material properties, effect of latent heat, and the convective boundary conditions are included in the model. Numerically predicted sizes of the penetration and the heat affected zone are compared with the experimentally observed values. As a result, there was a slight difference between numerical analysis values and experimentally observed values. For in the case of heat affected zone, it was not considered a precise forced convective coefficient value, and in the case of penetration, it was not, considered a arc force.

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유한요소법을 이용한 3차원 염해 침투 예측 모델의 개발 (Development of Three Dimensional Chloride Ion Penetration Model Based on Finite Element Method)

  • 최원;김한중
    • 한국농공학회논문집
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    • 제57권5호
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    • pp.43-49
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    • 2015
  • Most of agricultural structures located in seashore could not avoid rapid deterioration of concrete because chloride-ion and $CO_2$ gradually penetrate into concrete. However, since most of models can be able to describe the phenomenon of penetration by using one or two dimensional models based on finite difference method (FDM), those modes can not simulate the real geometry and it takes a lot of computational time to complete even the calculation. To overcome those weaknesses, three dimensional numerical model considering time dependent variables such as surface concentration of chloride and diffusion coefficient of domain based on finite element method (FEM) was suggested. This model also included the neutralization occurred by the penetration of $CO_2$. Because the model used various sizes of tetrahedral mesh instead of equivalent rectangular mesh, it reduced the computational time to compare with FDM. As this model is based on FEM, it will be easily extended to execute multi-physics simulation including water evaporation and temperature change of concrete.

얇은 플라즈마 층의 전자기 해석을 위한 Subcell 맥스웰-볼츠만 유한 차분 시간 영역 기법 (Subcell Maxwell-Boltzmann FDTD Method for Analyzing Thin Plasma Layer)

  • 정인균;김유나;홍용준;육종관
    • 한국전자파학회논문지
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    • 제26권3호
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    • pp.326-332
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    • 2015
  • 플라즈마의 전자기적 특성을 해석하는 데 전기적으로 얇은 플라즈마는 수치 해석하기 어렵다. 본 논문은 플라즈마를 해석할 수 있는 맥스웰-볼츠만 유한 차분 시간 영역(Finite-Difference Time-Domain: FDTD) 기법과 얇은 구조를 해석할 수 있는 subcell FDTD 기법을 결합한 subcell 맥스웰-볼츠만 FDTD 기법을 제안하였다. 제안한 기법의 정확성을 확인하기 위해 1차원 FDTD 기법을 이용하여 자유 공간-플라즈마-완전 도체에서 반사계수 및 흡수량 오차를 계산하였다. 제안한 기법을 이용했을 때 광대역에서 정확한 것을 확인하였고, 플라즈마가 $3{\Delta}y$일 때 기존 기법보다 흡수량 오차가 1/10로 감소하는 것을 확인하였다.