• Title/Summary/Keyword: 유한 체적법

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Numerical Analysis of Transonic Laminar Flow in Turbomachinery Using Finite Volume Method(I) Cascade Flow Analysis (유한체적법을 이용한 터보기계 회전차내부의 천이음속.층류 유동해석 (I) 익렬 유동해석)

  • 조강래;오종식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.445-451
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    • 1993
  • For the calculation of transonic laminar flow fields in cascades of turbomachinery, a finite volume method employing Jameson's Runge-Kutta integration scheme as a basic algorithm is presented. The cell-vertex scheme introducing half-spacing mesh cells is developed. For the velocity gradients in the stress terms the integration with divergence theorem is used for the average concept. Some numerical results show good agreement with experimental data.

Development of a Solver for 3-D Flows with Free Surface using the Finite Volume Method on Unstructured Grids (비정렬 격자 유한체적법을 이용한 삼차원 자유표면 유동 해석 코드의 개발)

  • Yim, Joong-Hyuck;Baek, Je-Hyun
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.910-915
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    • 2003
  • A Navier-Stokes equation solver for incompressible viscous flows with free surface is developed and tested. This is based upon a fractional time step method and a non-staggered finite volume formulation for unstructured meshes. For time advancement scheme, Adams -Bashforth method for convective term and Crank-Nicolson method for diffusive term are applied. The interface between two fluids with different fluid properties is tracked with Piecewise Linear Interface Calculation(PLIC) Volume-of-Fluid(VOF) methods. Computational results are presented for some test problems: the broken dam, the sloshing in a rectangular tank, the filling of a cylindrical tank.

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A Study on the Level-Set Scheme for the Analysis of the Free Surface Flow by a Finite Volume Method (유한체적법에 의한 자유수면 유동해석에서 Level-Set 기법에 대한 연구)

  • Il-Ryong Park;Ho-Hwan Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.2
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    • pp.40-49
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    • 1999
  • A Finite Volume Method for the two-dimensional incompressible, two-fluids Navies-Stokes equation and level-set scheme are used to analyse the interface of two fluids, free-surface flow. The numerical characteristics and the applicability of level-set scheme are brief1y investigated and appraised by solving oscillating small surface wave in a water tank and dam break problems. In the numerical results, a method for improving the convergence of the solution is presented.

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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.

Material Topology Optimization of FGMs using Homogenization and Linear Interpolation Methods (균질화 및 선형보간법을 이용한 기능경사 내열복합재의 물성분포 최적설계)

  • 조진래;박형종
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.4
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    • pp.495-503
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    • 2001
  • In a functionally graded materials(FGM), two constituent material particles are mixed up according to a specific volume fraction distribution so that its thermoelastic behavior is definitely characterized by such a material composition distribution. Therefore, the designer should determine the most suitable volume fraction distribution in order to design a FGM that optimally meets the desired performance against the given constraints. In this paper, we address a numerical optimization procedure, with employing interior penalty function method(IPFM) and FDM, for optimizing 2D volume fractions of heat-resisting FGMs composed of metal and ceramic. We discretize a FGM domain into finite number of homogenized rectangular cells of single design variable in order for the optimization efficiency. However, after the optimization process, we interpolate the discontinuous volume fraction with globally continuous bilinear function in order to enforce the continuity of volume fraction distributions.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae E. M.;Sah J. Y.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.9-18
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    • 1996
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae Eun-Mi;Sah Jong-Youb
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.104-109
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    • 1995
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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