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Parallelization of an Unstructured Implicit Euler Solver (내재적 방법을 이용한 비정렬 유동해석 기법의 병렬화)

  • Kim J. S.;Kang H. J.;Park Y. M.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.5 no.2
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    • pp.20-27
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    • 2000
  • An unstructured implicit Euler solver is parallelized on a Cray T3E. Spatial discretization is accomplished by a cell-centered finite volume formulation using an upwind flux differencing. Time is advanced by the Gauss-Seidel implicit scheme. Domain decomposition is accomplished by using the k-way n-partitioning method developed by Karypis. In order to analyze the parallel performance of the solver, flows over a 2-D NACA 0012 airfoil and 3-D F-5 wing were investigated.

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건식 식각에 의한 고밀도의 정렬된 다이아몬드 바늘 제작

  • 백은송;백영준;전동렬
    • Proceedings of the Korean Vacuum Society Conference
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    • 1999.07a
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    • pp.57-57
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    • 1999
  • 공기 플라즈마로 다이아몬드 박막을 식각하여 한 방향으로 정렬된 고밀도의 다이아몬드 바늘을 만들었다. 다이아몬드 기판에 적당한 양의 몰리브데늄 박막을 입힌 후 수백 볼트의 음 전압을 걸고 RF 또는 직류 플라즈마로 식각하였다. 바늘의 모양과 밀도는 기판 온도, 압력, 바이어스 전압, 전력, 몰리브데늄 양 등의 식각조건에 따라 결정되었다. 기판 온도가 높으면 바늘이 굵어졌다. 몰리브데늄 박막은 식각마스크로 작용하였는데 때때로 몰리브데늄으로 만들어진 기판 장착대가 스퍼트링되어 저절로 몰리브데늄 박막이 입혀져서 바늘이 만들어지기도 하여 바늘 밀도, 형상을 정밀하게 조절하기 위해서는 적당한 양의 몰리브데뉴 박막을 미리 입히는 것이 좋다. 조건이 잘 맞으면 굵기가 0.1$\mu\textrm{m}$, 바늘 사이 간격이 0.1$\mu\textrm{m}$, 높이는 3$\mu\textrm{m}$ 이상인 다이아몬드 바늘 격자가 만들 수 있었다. 이러한 바늘은 다결정 다이아몬드 박막 뿐만 아니라 고온고압 다이아몬드, 자연 다이아몬드 등으로부터도 만들 수 있었다. 다이아몬드 바늘은 전계 전자 방출 소자, 복합 재료를 위한 다이아몬드 섬유, 방열판, 다공질 다이아몬드 등으로 사용할 수 있다.

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Parallelization of an Unstructured Implicit Euler Solver (내재적 방법을 이용한 비정렬 유동해석 기법의 병렬화)

  • Kim J. S.;Kang H. J.;Park Y. M.;Kwon O. J.
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.193-200
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    • 1999
  • An unstructured implicit Euler solver is parallelized on a Cray T3E. Spatial discretization is accomplished by a cell-centered finite volume formulation using an unpwind flux differencing. Time is advanced by the Gauss-Seidel implicit scheme. Domain decomposition is accomplished by using the k-way N-partitioning method developed by Karypis. In order to analyze the parallel performance of the solver, flows over a 2-D NACA 0012 airfoil and a 3-D F-5 wing were investigated.

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Numerical Simulation of 2-D Lid-Driven Cavity Plow at High Reynolds numbers (높은 Re수에서의 2차원 Lid-Driven 캐비티유동의 수치해석)

  • Myong H. K.;Kim J. E.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.04a
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    • pp.153-158
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    • 2005
  • Numerical simulations of two-dimensional steady incompressible lid-driven flow in a square cavity are presented to verify the validity of a new solution code(PowerCFD) with unstructured grids. The code uses the non-staggered(collocated) grid approach which is very popular for incompressible flow analysis because of its numerical efficiency on the curvilinear or unstructured grids. Solutions are obtained for configurations with a Reynolds number as high as 10,000 with both rectangular and hybrid types of unstructured grid mesh. Interesting features of the flow are presented in detail and comparisons are made with benchmark solutions found in the literature. It is found that the code is capable of producing accurately the nature of the lid-driven cavity flow at high Reynolds numbers.

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Prediction of Cross Flow Fan Flow Using an Unstructured Finite Volume Method (비정렬 유한 체적법을 이용한 횡류 홴 유동장 해석)

  • Kang Dong-Jin;Bae Sang-Su
    • The KSFM Journal of Fluid Machinery
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    • v.9 no.4 s.37
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    • pp.27-35
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    • 2006
  • A Navier-Stokes code has been developed to simulate the flow through a cross flow fan. It is based on an unstructured finite volume method and uses moving grid technique to model the rotation of the fan. A low Reynolds number turbulence model is used to calculate eddy viscosity. The basic algorithm is SIMPLE. Numerical simulations over a wide range of flow rate are carried out to validate the code. Comparison of all numerical solutions with experimental data confirms the validity of the present code. Present numerical solutions show a noticeable improvement over a previous numerical method which is based on a model of body force to simulate the rotation of the impeller.

Finite volume method for incompressible flows with unstructured triangular grids (비정렬 삼각격자 유한체적법에 의한 비압축성유동 해석)

  • ;;Kim, Jong-Tae;Maeng, Joo-Sung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.11
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    • pp.3031-3040
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    • 1995
  • Two-dimensional incompressible Navier-Stokes equations have been solved by the node-centered finite volume method with the unstructured triangular meshes. The pressure-velocity coupling is handled by the artificial compressibility algorithm due to its computational efficiency associated with the hyperbolic nature of the resulting equations. The convective fluxes are obtained by the Roe's flux difference splitting scheme using edge-based connectivities and higher-order differences are achieved by a reconstruction procedure. The time integration is based on an explicit four-stage Runge-Kutta scheme. Numerical procedures with local time stepping and implicit residual smoothing have been implemented to accelerate the convergence for the steady-state solutions. Comparisons with experimental data and other numerical results have proven accuracy and efficiency of the present unstructured approach.

A Study on the Development of a Three Dimensional Structured Finite Elements Generation Code (3차원 정렬 유한요소 생성 코드 개발에 대한 연구)

  • Kim, Jin-Whan
    • Journal of Ocean Engineering and Technology
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    • v.13 no.1 s.31
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    • pp.11-17
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    • 1999
  • A three dimensional finite element generation code has been developed attaching simple blocks. Block can be either a quadrature or a cube depending on the dimension of a subject considered. Finite element serendipity basis functions are employed to map elements between the computational domain and the physical domain. Elements can be generated with wser defined progressive ratio for each block. For blocks to be connected properly, a block should have a consistent numbering scheme for vertices, side nodes, edges and surfaces. In addition the edge information such as the number of elements and the progressive ratio for each direction should also be checked for interfaces to have unique node numbers. Having done so, user can add blocks with little worry about the orientation of blocks, Since the present the present code has been written by a Visual Basic language, it can be developed easily for a user interactive manner under a Windows environment.

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Numerical Analysis of Viscous Flows on Unstructured Grids Using the Optimal Method of Strongly Implicit Procedure (비정렬 격자계에서 S.I.P. 최적화 방법을 이용한 점성유동 수치해석)

  • Shin, Young-Seop
    • Journal of the Society of Naval Architects of Korea
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    • v.49 no.2
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    • pp.196-202
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    • 2012
  • In this study, numerical analysis of viscous flows is carried out based on the unstructured grid. There exist some difficulties in expressing and computing numerical derivatives on the unstructured grid due to lack of the structured characteristics. The general computer algorithms are developed to perform numerical derivatives easily and extended to be applicable to various geometries composed of hybrid meshes. And the optimal method of strongly implicit procedure is newly contrived to accelerate the rate of convergence in solving the pressure Poisson equation. To verify numerical schemes, the driven cavity problems of 2 and 3 dimension are simulated. The numerical results are compared with others and our numerical schemes are shown to be valid.

Robust and Efficient LU-SGS Scheme on Unstructured Meshes: Part Ⅱ - Efficient Implementation (비정렬 격자계에서 강건하고 효율적인 LU-SGS 기법 개발: Part Ⅱ- 효율적인 적용)

  • Kim Joo Sung;Kwon Oh Joon
    • Journal of computational fluids engineering
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    • v.9 no.3
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    • pp.39-48
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    • 2004
  • In the present study, an efficient implementation technique of the van Leer's implicit operator is suggested in accordance with the Roe's explicit operator. By using an efficient treatment of the off-diagonal terms, which occupy most of the memory requirement for the linear system of equations, it is shown that the improved scheme only requires less than 30% of memory and is approximately 10-20% faster than the baseline scheme.

Robust and Efficient LU-SGS Scheme on Unstructured Meshes: Part I - Implicit Operator (비정렬 격자계에서 강건하고 효율적인 LU-SGS 기법 개발: Part I - 내재적 연산자)

  • Kim Joo Sung;Kwon Oh Joon
    • Journal of computational fluids engineering
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    • v.9 no.3
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    • pp.26-38
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    • 2004
  • A study has been made for the investigation of the robustness and convergence of various implicit operators of the LU-SGS scheme using linear stability analysis. It is shown that the behavior of the implicit operator is not determined by its own characteristics, but is determined relatively depending on the dissipative property of the explicit operator. It is also shown that, as the dissipation level of the implicit operator increases, the robustness of the scheme increases, but the convergence rate can be deteriorated due to the excessive dissipation. The numerical results demonstrate that the dissipation level of the impliict operator needs to be higher than that of the explicit operator for computing stiff problems.