• 제목/요약/키워드: Cartesian grid

검색결과 97건 처리시간 0.037초

Cut Cell 방법을 활용한 공정별 주조유동해석 적용 연구 (Study on the Application of Casting Flow Simulation with Cut Cell Method by the Casting process)

  • 최영심
    • 한국주조공학회지
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    • 제43권6호
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    • pp.302-309
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    • 2023
  • 일반적으로 주조품은 복잡한 형상을 가지고 있고, 한 제품 내에서 두께의 차이가 현저하게 나는 경우가 있어 시뮬레이션을 위한 격자를 생성할 때 어려움이 있다. 주조 유동은 이상유동으로 수치해석을 할 때 공기와 용탕의 경계면을 추적해야하며 밀도차에 의한 압력장 계산에 많은 시간이 소요된다. 이와 같은 이유로 주조유동해석에는 직교격자가 주로 이용되어왔다. 그러나 직교격자는 형상을 제대로 표현하지 못한다. 곡면에서 나타나는 계단형상 격자로 인해 모멘텀 손실이 발생하고 이로 인해 용탕의 흐름이 달라질 수 있으며 결과적으로 잘못된 주조 방안 설계를 할 수 있다. 이를 피하기 위하여 직교격자계에서 형상을 좀 더 정확하게 표현하기 위하여 많은 수의 격자를 생성하여 해석을 한다. 또는 직교격자계에서 발생하는 문제를 수치적으로 보완하는 Cut Cell 방법을 적용하여 해석하는 방법이 있다. 본 연구에서는 직교격자계에서 주조유동해석을 할 때 격자수에 따른 해석결과와 Cut Cell 방법을 적용한 해석 결과를 비교하였다. 또한 주조공정별로 실제제품을 주조유동해석을 하고 공정별로 Cut Cell 방법을 적용한 결과를 고찰하였다.

분할격자법을 이용한 초고압 가스차단기 유동해석 (The Application of Cartesian Cut Cell Method for a High-Voltage GCB)

  • 이종철;안희섭;김윤제
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.91-94
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    • 2002
  • It is important to develop new effective technologies for increasing the interruption capacity and reducing the size of a GCB (Gas Circuit Breaker). It is not easy to test the real GCB model in practice as in theory. Therefore, a simulation tool based on a CFD (Computational Fluid Dynamics) algorithm has been developed to facilitate an optimization of the interrupter. But the choice of grid is not at all trivial in the complicated geometries like a GCB. In this paper, we have applied a CFD-CAD integration using Cartesian cut-cell method, which is one of the grid generation techniques for dealing with complex and multi-component geometries.

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An Implicit Pressure Correction Method for Incompressible Navier-Stokes Equations on Unstructured Cartesian Grids

  • Pan Dartzi
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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    • pp.15-16
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    • 2003
  • An implicit pressure correction method on unstructured Cartesian grid is developed for the incompressible Navier-Stokes equations. An immersed boundary method is also incorporated to treat the body geometry. Tests show that with an appropriate amount of dissipation, the method is second order accurate both in time and space. The driven cavity flows with and without immersed bodies are computed to demonstrate the capability of the present scheme.

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선회하는 2차원 유연 날개의 유체-구조 상호작용 모사 (NUMERICAL SIMULATION ON FLUID-STRUCTURE INTERACTION OF A TWO-DIMENSIONAL ORBITING FLEXIBLE FOIL)

  • 신상묵
    • 한국전산유체공학회지
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    • 제12권2호
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    • pp.37-45
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    • 2007
  • The hybrid Cartesian/immersed boundary method is applied to simulate fluid-structure interaction of a two-dimensional orbiting flexible foil. The elastic deformation of the flexible foil is modelled based on the dynamic equation of a thin-plate. At each time step, the locations and velocities of the Lagrangian control points on the flexible foil are used to reconstruct the boundary conditions for the flow solver based on the hybrid staggered/non-staggered grid. To test the developed code, the flow fields around a flapping elliptical wing are calculated. The time history of the vertical force component and the evolution of the vorticity fields are compared with recent other computations and good agreement is achieved. For the orbiting flexible foil, the vorticity fields are compared with those of the case without the deformation. The combined effects of the angle of attack and the orbit on the deformation are investigated. The grid independency study is carried out for the computed time history of the deformation at the tip.

Parametric studies on sloshing in a three-dimensional prismatic tank with different water depths, excitation frequencies, and baffle heights by a Cartesian grid method

  • Jin, Qiu;Xin, Jianjian;Shi, Fulong;Shi, Fan
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.691-706
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    • 2021
  • This paper aims to numerically investigate violent sloshing in a partially filled three-dimensional (3D) prismatic tank with or without a baffle, further to clarify the suppressing performance of the baffle and the damping mechanism of sloshing. The numerical model is based on a Cartesian grid multiphase flow method, and it is well validated by nonlinear sloshing in a 3D rectangular tank with a vertical baffle. Then, sloshing in an unbaffled and baffled prismatic tank is parametrically studied. The effects of chamfered walls on the resonance frequency and the impact pressure are analyzed. The resonance frequencies for the baffled prismatic tank under different water depths and baffle heights are identified. Moreover, we investigated the effects of the baffle on the impact pressure and the free surface elevation. Further, the free surface elevation, pressure and vortex contours are analyzed to clarify the damping mechanism between the baffle and the fluid.

분할격자체계를 이용한 천수흐름 수치모형의 개발 (Development of a Numerical Model of Shallow-Water Flow using Cut-cell System)

  • 김형준;이승오;조용식
    • 한국방재학회 논문집
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    • 제8권4호
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    • pp.91-100
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    • 2008
  • 본 연구는 Cartesian 격자망을 기본으로 하여 복잡한 지형을 위한 격자를 간편하고 효율적으로 생성할 수 있는 기법인 분할격자체계를 제안하고자 한다. 분할격자기법은 전반적인 흐름영역의 격자는 균일한 크기의 Cartesian 격자로 표현하지만 수치모형의 정확성, 적용성 및 효율성을 증대시키기 위하여 흐름의 특성이 변하는 격자를 분할하여 처리하는 기법이다. 분할격자체계에 의한 격자망은 다양한 크기 및 형상을 지니게 되므로, 유한체적기법을 적용하여 복잡한 흐름영역을 위한 수치모형을 구성한다. HLLC Riemann 근사해법을 이용하여 지배방정식을 이산화하였으며, 수치해의 안정성을 기하기 위하여 TVD-WAF기법을 적용하였다. 분할격자체계를 이용한 수치모형을 검증하기 위하여 해석해가 존재하는 사각형수조의 자유진동흐름을 모의하였다. 해석해와 수치모의 결과를 비교하여 본 연구에서 제안된 기법이 균일격자 및 분할격자체계에서 자유수면변위 및 x-축 및 y-축 방향의 유속을 정확히 모의함을 확인하였다.

일반곡률좌표계 운동량방정식의 종속변수 선정에 관한 연구 (A Study on the Choice of Dependent Variables of Momentum Equations in the General Curvilinear Coordinate)

  • 김탁수;김원갑;김철수;최영돈
    • 대한기계학회논문집B
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    • 제25권11호
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    • pp.1500-1508
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    • 2001
  • This paper represents the importance of dependent variables in non-orthogonal curvilinear coordinates just as the importance of those variables of convective scheme and turbulence model in computational fluid dynamics. Each of Cartesian, physical covariant and physical contravariant velocity components was tested as the dependent variables of momentum equations in the staggered grid system. In the flow past a circular cylinder, the results were computed to use each of three variables and compared to experimental data. In the skewed driven cavity flow, the results were computed to check the grid dependency of the variables. The results used in Cartesian and physical contravariant components of velocity in cylinder flow show the nearly same accuracy. In the case of Cartesian and contravariant component, the same number of vortex was predicted in the skewed driven cavity flow. Vortex strength of Cartesian component case has about 30% lower value than that of the other two cases.

주조유동의 정확도 개선을 위한 수치기법 연구 (Numerical Method for Improving the Accuracy of Molten Metal Flow)

  • 최영심;홍준호;황호영
    • 대한기계학회논문집A
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    • 제36권3호
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    • pp.253-258
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    • 2012
  • 주조 유동 해석 분야에서 형상 고정 격자계(body-fitted coordinate; BFC)의 적용은 양질의 해석결과를 얻을 수 있음에도 불구하고 격자 생성의 어려움과 효율성으로 인해 많이 사용되지 않고 있다. 반면에 직교 격자계(Cartesian coordinate)는 상대적으로 격자 생성이 쉽고 빠르기 때문에 주조 공정에서 주로 사용되어 왔으나 이 역시 형상을 제대로 표현하지 못함으로써 발생하는 문제들로 인해 올바른 해석 결과를 얻을 수가 없다. 본 연구에서는 PCT(Partial Cell Treatment)를 기반으로 하는 Cut Cell 방법을 직교 격자계에 적용함으로써 이 격자계의 장점은 유지하면서도 정확한 유동 해석 결과를 얻을 수 있었다. Cut Cell 방법으로 간단한 형상의 테스트와 실제 주조 제품에 대한 적용을 해보았다.

직교격자 기반 수치기법을 이용한 선박의 대변위 운동해석 (Analysis of Large-Amplitude Ship Motions Using a Cartesian-Gridbased Computational Method)

  • 양경규;남보우;이재훈;김용환
    • 대한조선학회논문집
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    • 제49권6호
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    • pp.461-468
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    • 2012
  • In this study, a Cartesian-grid method based on finite volume approach is applied to simulate the ship motions in large amplitude waves. Fractional step method is applied for pressure-velocity coupling and TVD limiter is used to interpolate the cell face value for the discretization of convective term. Water, air, and solid phases are identified by using the concept of volume-fraction function for each phase. In order to capture the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with weighed line interface calculation (WLIC) method which considers multidimensional information. The volume fraction of solid body embedded in the Cartesian grid system is calculated using a level-set based algorithm, and the body boundary condition is imposed by a volume weighted formula. Numerical simulations for the two-dimensional barge type model and Wigley hull in linear waves have been carried out to validate the newly developed code. To demonstrate the applicability for highly nonlinear wave-body interactions such as green water on the deck, numerical analysis on the large-amplitude motion of S175 containership is conducted and all computational results are compared with experimental data.

직교격자를 이용한 2차원 비정상 유동해석 코드 개발 (DEVELOPMENT OF A 2-D UNSTEADY FLOW SIMULATION CODE USING CARTESIAN MESHES)

  • 정민규;이재은;박세연;권오준;권장혁;신하용
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 춘계학술대회논문집
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    • pp.116-120
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    • 2009
  • A two-dimensional unsteady inviscid flow solver has been developed for the simulation of complex geometric configurations on adaptive Cartesian meshes. Embedded condition was used for boundary condition and a predictor-corrector explicit time marching scheme was used for time-accurate numerical simulation. The Cartesian mesh generator, which was previously developed for steady problem, was used grid generation for unsteady flow. The solver was based on ALE formulation for body motion. For diminishing the effects of cut-cells, the cell merging method was used. Using cell merging method, it was eliminated the CFL constraints. The conservation problem, which is caused cell-type variation around region swept by solid boundary, was also solved using cell merging method. The results are presented for 2D circular cylinder and missile launching problem.

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