• Title/Summary/Keyword: 직접수치해법

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Static Analysis of Gas Bearing with Ultra Low Clearance by the Direct Numerical Solution Method (극소 공기막을 갖는 공기베어링의 직접수치해법을 이용한 정적해석)

  • Park, Sang-Sin;Chang, In-Bae;Hwang, Pyung;Han, Dong-Chul
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.120-126
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    • 1991
  • An expanded scheme of a direct numerical solution method for solving the Navier-Stokes equation considering the modified boundary conditions for gas lubrication with ultra low clearance at high .LAMBDA. region is presented. Many examples are calculated by this scheme and their results are compared to the previous solutions using P$^{2}$H$^{[-992]}$ . This scheme has the advantages of fast calculation time and stable convergence in high .LAMBDA. region, and gives very good results in the case of fluid film thickness discontinuity.

A Simple Numerical Method for the Calculation of Relaxation Time Distribution (완화시간분포를 계산하는 간단한 수치해법)

  • 조광수;안경현;이승종
    • Proceedings of the Korean Fiber Society Conference
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    • 2003.04a
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    • pp.101-102
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    • 2003
  • 선형점탄성에서 완화시간분포를 알면 완화탄성율, 동적 점탄성율 등 다양한 정보를 알 수 있기 때문에 중요한 정보이지만 실험으로 직접 측정되는 물리량이 아니며 완화탄성율이나 동적 점탄성율의 실험 결과로부터 얻는 것도 많은 수학적인 어려움이 있다. 최근에 Regularization을 이용한 방법으로 연속함수로써 완화시간분포를 계산하는 방법들이 개발되어진 바 있다. 동적점탄성율 실험결과로부터 완화시간분포를 연속함수로써 계산할 수 있는 간단한 수치해법을 연구하였다. (중략)

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Transient coupled thermoelastic analysis by finite element method (유한요소법에 의한 과도연성 열탄성 해석)

  • 이태원;심우진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1408-1416
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    • 1990
  • A powerful and efficient method for finding approximate solutions to initial-boundary-value problems in the transient coupled thermoelasticity is formulated in time domain using the finite element technique with time-marching strategy. The final system equations can be derived by the Guritin's variational principle using the definition of convolution integral. But, the finite element formulation for the equations of motion is modified by differentiating in time. Numerical results to some test problems are compared with analytical and other sophisticated approximate solutions. Stable responces are observed in all the given examples irrespective of incremental time steps and mesh shapes. In addition, it is shown that good numerical results are obtained even in coarser mesh or larger time step comparing to other numerical methods.

Efficient 3D Modeling of CSEM Data (인공송신원 전자탐사 자료의 효율적인 3차원 모델링)

  • Jeong, Yong-Hyeon;Son, Jeong-Sul;Lee, Tae-Jong
    • 한국지구물리탐사학회:학술대회논문집
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    • 2009.10a
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    • pp.75-80
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    • 2009
  • Despite its flexibility to complex geometry, three-dimensional (3D) electromagnetic(EM) modeling schemes using finite element method (FEM) have been faced to practical limitation due to the resulting large system of equations to be solved. An efficient 3D FEM modeling scheme has been developed, which can adopt either direct or iterative solver depending on the problems. The direct solver PARDISO can reduce the computing time remarkably by incorporating parallel computing on multi-core processor systems, which is appropriate for single frequency multi-source configurations. When limited memory, the iterative solver BiCGSTAB(1) can provide fast and stable convergence. Efficient 3D simulations can be performed by choosing an optimum solver depending on the computing environment and the problems to be solved. This modeling includes various types of controlled-sources and can be exploited as an efficient engine for 3D inversion.

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On Dual Boundary Integral Equations for Crack Problems (이중 경계적분방정식에 의한 크랙 문제의 해석)

  • ;T.J. Rudolphi
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.89-101
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    • 1995
  • 선형 탄성 등방성 물체 내에 있는 일반적인 복합모드 크랙 문제들을 해석하기 위한 이중 경계적분방정식의 일반식과 계산해법이 제시되었다. 크랙면이 포함된 물체 해석에 있어서 유일한 해를 얻기 위하여, 한 면상의 점에는 변위 경계적분방정식이 적용되었고 마주하고 있는 상대면 상의 점에는 인력 경계적분방정식이 적용되었다. 인력 및 변위 경계적분방정식의 강특이해 및 초특이해 적분항들은 수치해법을 적용하기 전에 정상화되었다. 정상화과정 중 보정되는 강특이적분항이 상대 크랙면 상의 특이해 요소를 따라 직접 적분되는 것을 격리시키기 위하여, 특이해 적분 경로를 완만한 곡면으로 우회시킨 가상의 비특이해 보조경계로 대치하여 적분값을 계산하였다. 제시된 해법의 정확성과 효율성을 예시하기 위하여, 2차원 및 3차원 크랙 문제의 변형 후 모습과 응력강도계수 계산 결과를 보였다.

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A Numerical Analysis on the solution of Poisson Equation by Direct Method (직접법을 이용한 Poisson 방정식 수치해법에 관하여)

  • Y.S. Shin;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.62-71
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    • 1995
  • In the numerical analysis of incompressible unsteady Navier-stokes equation, large time is required for solving the pressure Poisson equation of the elliptic type at each time step. In this paper, a numerical analysis by the direct method is carried out to solve the pressure Poisson equation and the computing time is analyzed as mesh size increases. The pressure Poisson equation can be transformed to the boundary value problem by the Green theorem. The computing time for the convolution type of the domain integral can be reduced by using F.F.T. and the computing time in the direct method depends entirely on obtaining the solution of the boundary value problem. The numerical analysis on the known solutions is carried out and compared for the verification of the direct method. And the numerical analysis on the body boundary and domain decomposition problem are carried out with the computing time less than O($n^{3}$) in the (n.n) mesh.

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Modified Pseudosteady-State Approach to Calculate Long-Time Performance of Closed Gas Reservoirs (수정된 유사정상상태 해법을 이용한 폐쇄 가스저류층의 장기 거동 해석)

  • Lee Kun Sang
    • Journal of the Korean Institute of Gas
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    • v.2 no.4
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    • pp.73-78
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    • 1998
  • This paper considers the applicability of a pseudosteady-state approach to the long-time behavior of real gas flow in a closed reservoir. The method involves a combination of a linearized gas diffusivity equation using a normalized pseudotime and a material balance equation. For the simulation of field-scale problems with multiple wells of differing production rates over extended production periods, the pseudosteady-state equation was solved successively for each flow period. Results from this study show that the approach provides a fast and accurate method for modeling the long-time behavior of gas reservoirs under depletion conditions.

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Validation of an asymptotic zone conditional expression for turbulent burning velocity against DNS database (영역조건평균에 기초한 난류연소속도의 직접수치해법검증)

  • Kim, Soo-Youb;Huh, Kang-Y.
    • 한국연소학회:학술대회논문집
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    • 2004.11a
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    • pp.62-69
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    • 2004
  • Zone conditional formulations for the Reynolds average reaction progress variable are used to derive an asymptotic expression for turbulent burning velocity. New DNS runs are performed for validation in a statistically one dimensional steady state configuration. Parametric study is performed with respect to turbulent intensity, integral length scale, density ratio and laminar flame speed. Results show good agreement between DNS results and the asymptotic expression in terms of measured maximum flame surface density and estimated turbulent diffusivity in unburned gas.

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Validation of an asymptotic zone conditional expression for turbulent burning velocity against DNS database (영역조건평균에 기초한 난류연소속도의 직접수치해법검증)

  • Kim, Soo-Youb;Huh, Kang-Y.
    • Journal of the Korean Society of Combustion
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    • v.9 no.4
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    • pp.1-8
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    • 2004
  • Zone conditional formulation for the Reynolds average reaction progress variable is used to derive an asymptotic expression for turbulent burning velocity. New DNS runs are performed for validation in a statistically one dimensional steady state configuration. Parametric study is performed with respect to turbulent intensity, integral length scale, density ratio and laminar flame speed. Results show good agreement between DNS results and the asymptotic expression in terms of measured maximum flame surface density and estimated turbulent diffusivity in unburned gas.

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Two-Dimensional Benard Natural Convection with a Rectangular Body (사각 물체가 존재하는 2차원 Benard 자연 대류)

  • Yoon, Kyung-Soo;Ha, Man-Yeong;Yoon, Hyun-Sik
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.282-289
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    • 2000
  • Direct numerical solution for flow and heat transfer for Benard convection with a body is obtained using an accurate and efficient Fourier-Chebyshev collocation and multi-domain method. The flow and temperature fields are obtained fur different Rayleigh numbers and thermal boundary conditions of body. The body has adiabatic and constant temperature conditions. The existence of a body gives different flow and heat transfer fields in the system, compared to pure Benard convection. The flow and temperature fields are also affected by the thermal boundary condition of a body.

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