• Title/Summary/Keyword: 비격자법

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VOLUME CAPTURING METHOD USING UNSTRUCTURED GRID SYSTEM FOR NUMERICAL ANALYSIS OF MULTIPHASE FLOWS (다상유동 해석을 위한 비정렬격자계를 사용한 체적포착법)

  • Myong, H.K.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.201-210
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    • 2009
  • A volume capturing method using unstructured grid system for numerical analysis of multiphase flows is introduced in the present paper. This method uses an interface capturing method (CICSAM) in a volume of fluid(VOF) scheme for phase interface capturing. The novelty of CICSAM lies in the adaptive combination of high resolution discretization scheme which ensures the preservation of the sharpness and shape of the interface while retaining boundedness of the field, and no explicit interface reconstruction which is perceived to be difficult to implement on unstructured grid system. Several typical test cases for multiphase flows are presented, which are simulated by an in-house solution code(PowerCFD). This code employs an unstructured cell-centered method based on a conservative pressure-based finite-volume method with CICSAM. It is found that the present method simulates efficiently and accurately complex free surface flows such as multiphase flows.

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Comparative Study on High Resolution Schemes in Interface Capturing Method Suitable for Unstructured Meshes (비정렬격자계에 적합한 경계면포착법에서의 HR 도식 비교연구)

  • Myong, Hyon-Kook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.32 no.1
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    • pp.23-29
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    • 2008
  • Two high resolution compressive schemes, CICSAM(Ubbink, 1997) and HRIC(Muzaferija & Peric, 1999), in interface capturing method are reviewed briefly with respect to the extended forms suitable for unstructured meshes. And then those are applied to three typical test cases of translation test, shearing flow test and collapsing water problem with an obstacle. It is accomplished by implementing the high resolution schemes in the in-house CFD code(PowerCFD) for computing 3-D flow with an unstructured cell-centered method, which is based on the finite-volume technique and fully conservative. The calculated results show that CICSAM is better than HRIC with respect to accuracy and robustness, although either scheme can be used as a good choice for free surface or two-phase flow simulation.

STUDY ON HIGH RESOLUTION SCHEMES IN INTERFACE CAPTURING METHODS WITH UNSTRUCTURED GRIDS (비정렬격자계를 사용하는 경계면포착법에서 HR도식에 관한 연구)

  • Kim, J.E.;Myong, H.K.
    • 한국전산유체공학회:학술대회논문집
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    • 2006.10a
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    • pp.51-56
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    • 2006
  • Several high resolution schemes such as OSHER, MUSCL, SMART, GAMMA, WACEB and CUBISTA are applied to two typical test cases of a translation test and a collapsing water column problem for the accurate capturing of fluid interfaces. It is accomplished by implementing the high resolution schemes in the in-house CFD code(PowerCFD) for computing 3-D flow with an unstructured cell-centered method, which is based on the finite-volume technique and fully conservative. The calculated results are found to show that SMART scheme gives the best performance with respect to accuracy and robustness.

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First-principle study: Optical phonon mode and Born effective charge of strained Sr$TiO_3$ and $BaTiO_3$ lattices (제일원리적 계산에 의한 격자 변형된 Sr$TiO_3$$BaTiO_3$ 격자의 optical phonon mod와 Born effective charge의 특성)

  • 김이준;정동근;김주호;이재찬
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2003.11a
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    • pp.55-55
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    • 2003
  • Ferroelectric 물질은 고유전성, 자발분극과 전기장에 따른 유전상수의 변화 등의 특성을 가지고 있으므로 많은 연구가 진행중이다. 이러한 ferroelectric 물질의 유전 특성에 미치는 요소로는 물질의 조성비, 박막의 스트레스, 결정성 등이 있다. 특히 스트레스에 대한 연구가 활발히 진행중이다. 본 연구에서 산화물 인공격자를 이용하여 단일박막에서 얻을 수 없는 격자변형도를 얻어 격자 변형이 박막의 유전특성에 미치는 영향을 연구하였다. BaTiO$_3$ (BTO)/SrTiO$_3$ (STO) 산화물 인공격자를 Pulsed laser deposition (PLD)법으로 (La,Sr)CoO$_3$ 전극이 코팅된 MGO (100) 단결정 기판위에 증착시켰다. 적층 주기에 변화를 주어 BTO와 STO 각각 1.01~1.095와 0.925 ~ 1.003의 단일 막에서는 얻을 수 없는 격자 변형도를 얻었다. 이 실험적 데이터를 기초로 하여 density functional theory (DFT)라고 불리는 범함수밀도론를 기초한 제일원리적 계산 방법을 통하여 격자 변형된 SrTiO$_3$의 구조적, 전기적 특성을 계산하였다. SrTiO$_3$와 BaTiO$_3$ 격자의 안정성을 분석하기 위하여 Vienna Ab-intio Simulation Package (VASP) code가 사용되었다. SrTiO$_3$와 BaTiO$_3$ 산화물 격자의 안정성 분석 후, frozen-phonon 계산 방법을 사용하여 zone-centered optical phonon mode가 계산되었으며, mode effective charge는 Berry-phase polarization 으로부터 얻어졌다. SrTiO$_3$ 격자가 격자변형이 일어나지 않은 상태로부터 c/a= 0.985로 격자 변형 이 일어남에 따라 optical phonon mode는 점차 hardening되었다. BaTiO$_3$ 격자의 경우 SrTiO$_3$ 격자와는 달리 격자 변형이 1.01~1.023으로 진행됨에 따라 optical phonon mode의 증가를 가져왔으나 Born effective charge의 증가하였으며, 더 이상 격자 변형이 진행됨에 따라 optical phonon mode의 감소를 가져왔으나 Born effective charge의 증가 유전상수는 증가했다. 격자 변형이 SrTiO$_3$ 와 BaTiO$_3$ 산화물 격자의 optical phonon mode와 Born effective charge에 크게 영향을 미쳤다.

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Analysis of Three-dimensional Cavity flow by using Unstructred grid (비정규 격자를 이용한 3차원 Cavity 유동 해석)

  • Kang, Hyo-Kil;Kim, Moon-Chan;Chun, Ho-Hwan
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.10a
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    • pp.192-197
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    • 2003
  • Three-dimensional cavity flow is analyzed with the code by using unstructured grid. Incompressible Navier-Stokes equations are used as governing equations, and governing equations are discretized by Finite Volume Method. Artificial compressibility method, proposed by Chorin, and developed by Soh, is used for coupling a pressure and a velocity. Cell-centered scheme is adopted in the code, this has the effect of having denser grid than nodal scheme when the same grid is used. Weighted Averaging scheme is used for the value at a nodal point. Cavity flow is analyzed, and this computed results are compared with the results in the research report

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Development of a 3-D Parallel DSMC Method for Rarefied Gas Flows Using Unstructured Meshes (비정렬 격자계를 이용한 희박기체 영역의 3차원 병렬 직접모사법 개발)

  • Kim, Min Gyu;Gwon, O Jun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.2
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    • pp.1-9
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    • 2003
  • In the present study, a 3-D Parallel DSMC method in developed on unstructured meshes for the efficient simulation of rarefied gas flows. Particle tracing between cells in achieved based on a linear shape function extended to three dimensions. For high parallel efficiency, successive domain decomposition is applied to achieve load balancing between processors by accounting for the number of particles. A particle weighting technique is also adopted to handle flows containing gases of significantly dirrerent number densities in the same flow domain. Application is made for flow past a 3-D delta wing and the result is compared with that from experiment and other calculation. Flow around a rocket payload at 100km altitude is also solved and the effect of plume back flow from the nozzle in studied.

Surface Reconstruction from Oriented Point Cloud Using a Box-Spline on the BCC Lattice (BCC 격자의 박스-스플라인을 이용한 입체 표면 복구 기법)

  • Kim, Hyunjun;Kim, Minho
    • Journal of the Korea Computer Graphics Society
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    • v.21 no.2
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    • pp.1-10
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    • 2015
  • In this paper, we propose an improved surface reconstruction method from an oriented point cloud. Our method is a classical least-square scheme, but is based on the 7-direction box-spline and the BCC (Body-Centered Cubic) lattice, which results in surfaces with superior quality and lower computational overhead, compared to other methods based on the B-splines on the Cartesian lattice. Specifically, when compared with two of the most popular techniques our method results in better surfaces but only takes ${\approx}53%$ computation time.

Study on the Local Refinement in Spline Finite Element Method by Using Hierarchical B-spline (계층적 B-스플라인을 이용한 스플라인 유한요소법의 국부 세분화에 관한 연구)

  • Hah, Zoo-Hwan;Kim, Hyun-Jung;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.8
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    • pp.1007-1013
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    • 2010
  • A new local refinement scheme for spline finite element method has been proposed; this scheme involves the use of hierarchical B-spline. NURBS has been widely used in CAD; however, the local refinement of NURBS is difficult due to its tensor-product property. In this study, we attempted to use hierarchical B-splines as local refinement strategy in spline FEM. The regions of high gradients are overlapped by hierarchically-created local meshes. Knot vectors and control points in local meshes are extracted from global meshes, and they are refined using specific schemes. Proper compatibility conditions are imposed between global and local meshes. The effectiveness of the proposed method is verified on the basis of numerical results. Further, it is shown that by using a proposed local refinement scheme, the accuracy of the solution can be improved and it could be higher than that of the solution of a conventional spline FEM with relatively lower degrees of freedom.

A Numerical Analysis of the Shallow Water Equations Using the Multi-slope MUSCL (다중 경사 MUSCL을 이용한 천수방정식의 수치해석)

  • Hwang, Seung-Yong;Lee, Sam-Hee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.158-158
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    • 2011
  • 천수방정식과 같은 쌍곡선형 미분방정식의 불연속 해에 대한 Riemann 해법은, 1950년대 말 공기동역학 분야에서 S. K. Godunov의 선구적인 시도 이후, 다양한 영역에서 성공적으로 적용되고 있다. 당초 제안된 해법은 공간에 대해 1차 정도였으나, 2차의 정도를 얻을 수 있는 기법이 1970년대 말 B. van Leer에 의해 제안되었으며, MUSCL로 불린다. 서로 인접한 격자의 보존변수가 고려된 경사가 도입되어 두 격자에 의해 공유되는 변의 좌 우에서 선형으로 보존변수가 재구축되는 MUSCL은 제한자와 함께 이용될 때, 구조 격자 체계에서 비교적 단순하면서도 효과적인 적용성이 입증되었다. 그런데, 이 기법을 2차원의 비구조 격자 체계에 적용하는 경우, 인접한 모든 격자의 보존변수를 고려한 평면의 경사를 결정해야 하는 어려움이 따른다. 특히, 삼각형 비구조 격자에 적용할 경우 최적의 평면을 결정하기 위해 Green-Gauss 적분식이나 최소-자승법 등을 이용하게 된다. 이에 비해, 2010년 T. Buffard와 S. Clain이 제안한 다중경사 기법은 격자의 각 변에서 경사가 각각 결정되는 방법으로 계산량이 많은 Green-Gauss 적분식이나 최소자승법을 피할 수 있는 장점이 있는 것으로 알려져 있다. 정확해가 알려진 두 경우에 대해 몇 가지 제한자를 적용한 결과를 1차 정도의 해와 함께 비교하였으며, superbee 제한자에 의한 결과가 우수하였으나, 희유파와 충격파가 맞닿는 곳에서 수치 분산이 나타났다. minmod 제한자의 결과가 대체로 무난하였으며, 이를 2차원 댐 붕괴 문제에 적용하여 1차 정도의 해와 비교하였다. 마찰이 없고 초기 수심이 댐 상류에서 10 m, 하류에서 5 m로서 물이 차 있는 경우, 1차 정도의 해에서 나타나는 수치 소산이 2차 정도에서는 발생되지 않았다. 댐 하류에서 초기에 수심이 영으로 바닥이 드러난 경우에서 마찰의 영향을 검토하였다. 마찰이 있는 경우, 마찰 경사 항의 Manning 계수를 0.04로 두었으며, 마찰에 의한 영향이 잘 드러났다. 수심이 50 mm 보다 작은 경우에는 마찰을 적용하지 않았다. 이 연구는 환경부 '차세대 핵심환경기술개발 사업'의 지원에 의한 것이다.

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Lateral Crush Strength of Nuclear Fuel Spacer Grid Considering Weld Properties (용접물성치를 고려한 핵연료 지지격자체 횡방향 충격강도)

  • Song, Kee Nam;Lee, Sang Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.12
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    • pp.1663-1668
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    • 2012
  • A spacer grid, which is one of the structural components in a PWR fuel, is an interconnected array of slotted grid straps that are welded at the intersections to form an egg-crate structure. The spacer grid is required to have sufficient lateral crush strength to enable nuclear reactor shut-down during abnormal operating environments. Previous studies on the lateral crush strength analysis of the spacer grid were performed using only the base material properties. In this study, to investigate the effect of the lateral crush strength of the spacer grid when using the mechanical properties in the weld zone instead of the base material properties, lateral crush strength analysis by considering the mechanical properties in the weld zone as obtained from the instrumented indentation technique was performed, and the results were compared with those of previous studies.