• 제목/요약/키워드: Finite Volume

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비정렬 셀 중심 방법에서 확산플럭스의 새로운 수치근사방법 (A NEW NUMERICAL APPROXIMATION OF DIFFUSION FLUX IN UNSTRUCTURED CELL-CENTERED METHOD)

  • 명현국
    • 한국전산유체공학회지
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    • 제11권1호
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    • pp.8-15
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    • 2006
  • The existing approximations of diffusion flux in unstructured cell-centered finite volume methods are examined in detail with each other and clarified to have indefinite expressions in several respects. A new numerical approximation of diffusion flux at cell face center is then proposed, which is second-order accurate even on irregular grids and may be easily implemented in CFD code using cell-centered finite volume method with unstructured grids composed of arbitrary convex polyhedral shape.

고에너지 밀도용접의 온도특성에 관한 수치해석적 연구 (Numerical Study on the Thermal Model of High Power Density Welding)

  • 이성호;고상근
    • Journal of Welding and Joining
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    • 제10권2호
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    • pp.19-31
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    • 1992
  • A numerical study was performed to investigate the flow field and the heat transfer characteristics occurring in high power density welding which is important in many fields of engineering applications. A two dimensional quasi-steady state of keyhole welding model is simulated by using the finite volume methods. It is shown that the shape of isothermal line is elliptic and the temperature gradient is very steep compared with other welding method and the welding speed has on welding width and observed beam power.

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유한체적법에 의한 이층류 계산 및 쇄파에 관한 토의 (Computation of Two-Fluid Flows by Finite Volume Method and Discussion on Wave Breaking)

  • Milovan Peric
    • 한국해양공학회지
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    • 제14권1호
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    • pp.11-16
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    • 2000
  • 수중날개를 대상으로 임의로 변형하는 이층류의 수직계산을 수행하였다. 계산은 비구조격자와 접면포착법을 이용하여 자유표면의 형상을 결정하였다 본 연구에 의하면 낮은 물속 깊이와 높은 프루드수에서 쇄파현상이 발생하였다 수중날개에 대하여 쇄파형상의 효과를 연구하였고 실험값과 계산값을 상호비교함으로서 격자의 민감성을 수직적으로 확인하였다.

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임의의 비정렬 격자계에서의 국지적 선형 재구성 기법 (A Locally Linear Reconstruction scheme on arbitrary unstructured meshes)

  • 이경세;백제현
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 추계 학술대회논문집
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    • pp.31-36
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    • 2003
  • A field reconstruction scheme for a cell centered finite volume method on unstructured meshes is developed. Regardless of mesh quality, this method is exact within a machine accuracy if the solution is linear, which means it has full second order accuracy. It does not have any limitation on cell shape except convexity of the cells and recovers standard discretization stencils at structured orthogonal grids. Accuracy comparisons with other popular reconstruction schemes are performed on a simple example.

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Rheological behavior of dilute bubble suspensions in polyol

  • Lim, Yun-Mee;Dongjin Seo;Youn, Jae-Ryoun
    • Korea-Australia Rheology Journal
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    • 제16권1호
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    • pp.47-54
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    • 2004
  • Low Reynolds number, dilute, and surfactant-free bubble suspensions are prepared by mechanical mixing after introducing carbon dioxide bubbles into a Newtonian liquid, polyol. The apparent shear viscosity is measured with a wide-gap parallel plate rheometer by imposing a simple shear flow of capillary numbers(Ca) of the order of $10^{-2}$ ~ $10^{-1}$ and for various gas volume fractions ($\phi$). Effects of capillary numbers and gas volume fractions on the viscosity of polyol foam are investigated. At high capillary number, viscosity of the suspension increases as the gas volume fraction increases, while at low capillary number, the viscosity decreases as the gas volume fraction increases. An empirical constitutive equation that is similar to the Frankel and Acrivos equation is proposed by fitting experimental data. A numerical simulation for deformation of a single bubble suspended in a Newtonian fluid is conducted by using a newly developed two-dimensional numerical code using a finite volume method (FVM). Although the bubble is treated by a circular cylinder in the two dimensional analysis, numerical results are in good agreement with experimental results.

VOLUME OF GRAPH POLYTOPES FOR THE PATH-STAR TYPE GRAPHS

  • Ju, Hyeong-Kwan;Seo, Soo-Jeong
    • 호남수학학술지
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    • 제38권1호
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    • pp.71-84
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    • 2016
  • The aim of this work is to compute the volume of the graph polytope associated with various type of finite simple graphs composed of paths and stars. Recurrence relations are obtained using the recursive volume formula (RVF) which was introduced in Lee and Ju ([3]). We also discussed the relationship between the volume of the graph polytopes and the number of linear extensions of the associated posets for given bipartite graphs.

두께 방향 섬유체적비 불균일이 원통형 복합재 격자 구조 좌굴하중에 미치는 영향 (The Effect of Fiber Volume Fraction Non-uniformity in Thickness Direction on the Buckling Load of Cylindrical Composite Lattice Structures)

  • 공승택;전민혁;김인걸;이상우
    • Composites Research
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    • 제34권2호
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    • pp.129-135
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    • 2021
  • 본 논문에서는 필라멘트 와인딩 공정에서 발생하는 두께 방향 섬유체적비 불균일이 원통형 복합재 격자 구조의 좌굴하중에 미치는 영향을 확인하기 위해서 Vasiliev가 제안한 원통형 복합재 격자 구조 좌굴하중 이론식을 변형하여 섬유체적비에 따른 좌굴하중 저하를 확인하였다. 섬유체적비에 따라 격자 구조 리브의 각 층의 두께를 달리하였으며, 혼합법칙을 사용하여 각 층별로 물성치를 다르게 적용하였다. 구조물 크기, 두께, 섬유체적비 평균값을 달리한 유한요소모델에 대한 선형좌굴해석을 수행하였다. 최종적으로 이론식을 사용한 등가모델의 좌굴 하중 계산 결과와 유한요소해석 결과를 비교하여 두께 방향 섬유체적비 불균일이 원통형 복합재 격자 구조의 좌굴하중 저하의 원인이 될 수 있음을 확인하였다.

Multiscale modeling of elasto-viscoplastic polycrystals subjected to finite deformations

  • Matous, Karel;Maniatty, Antoinette M.
    • Interaction and multiscale mechanics
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    • 제2권4호
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    • pp.375-396
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    • 2009
  • In the present work, the elasto-viscoplastic behavior, interactions between grains, and the texture evolution in polycrystalline materials subjected to finite deformations are modeled using a multiscale analysis procedure within a finite element framework. Computational homogenization is used to relate the grain (meso) scale to the macroscale. Specifically, a polycrystal is modeled by a material representative volume element (RVE) consisting of an aggregate of grains, and a periodic distribution of such unit cells is considered to describe material behavior locally on the macroscale. The elastic behavior is defined by a hyperelastic potential, and the viscoplastic response is modeled by a simple power law complemented by a work hardening equation. The finite element framework is based on a Lagrangian formulation, where a kinematic split of the deformation gradient into volume preserving and volumetric parts together with a three-field form of the Hu-Washizu variational principle is adopted to create a stable finite element method. Examples involving simple deformations of an aluminum alloy are modeled to predict inhomogeneous fields on the grain scale, and the macroscopic effective stress-strain curve and texture evolution are compared to those obtained using both upper and lower bound models.

유한체적 복사전달해석법을 이용한 주유동중에 놓인 원형실린더 주위에서의 복사-대류 열전달해석 (Analysis of Radiative-Convective Heat Transfer about a Circular Cylinder in Crossflow Using Finite Volume Radiation Solution Method)

  • 이공훈;이준식
    • 대한기계학회논문집B
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    • 제20권1호
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    • pp.346-358
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    • 1996
  • A finite volume radiation solution method was applied to a non- orthogonal coordinate system for the analysis of radiative-convective heat transfer about a circular cylinder in crossflow. The crossflow Reynolds number based on the cylinder radius was 20, and the fluid Prandtl number was 0.7. The radiative heat transfer coupled with convection was reasonably predicted by the finite volume radiation solution method. The investigation includes the effects of conduction- to-radiation parameter, optical thickness, scattering albedo and cylinder wall-emissivity on heat transfer about the cylinder. As the conduction- to-radiation parameter decreases, the radiative heat transfer rate increases and conduction rate as well due to the increase in temperature gradient on the cylinder wall which is caused by radiation enhancement. With an increase in the optical thickness, the Nusselt number increases significantly and the temperature gradient shows similar behavior. Though the radiative heat transfer increases with the scattering albedo, the total heat transfer decreases. This is because the decrease in the conduction heat transfer exceeds the increase in the radiation heat transfer. As the wall- emissivity increases, the radiation absorbed in the vicinity of the cylinder wall increases and thereby the total heat transfer increases, even though the conduction heat transfer decreases.