• 제목/요약/키워드: driven cavity flow

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2차원 밀폐 캐비티의 고레이놀즈수 흐름에 관한 연구 (A Study on High Reynolds Number Flow in Two-Dimensional Closed Cavity)

  • 최민선;송치성;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권3호
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    • pp.101-109
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    • 1996
  • Two-dimensional lid-driven closed flows within square cavity were studied numerically for four Reynolds numbers : $10^4$, 3$\times10^4$, 5$\times10^4$ and 7.5$\times10^4$. A convective difference scheme to maintain the same spatial accurary by irregular grid correction is adopted by applying the interior division principle. Grid number is $80\times80$and its minimum size is about 1/400 of the cavity height. At Re=$10^4$, periodic migration of small eddies appearing in corner separation region and its temporal sinusoidal fluctuation are represented. At three higher Reynolds numbers(3$\times10^4$, 5$\times10^4$ and 7.5$\times10^4$), an organizing structure of four consecutive vorticles at two lower corners is revealed from time-mean flow patterns. But, instantaneous flow characteristics show very random unsteady fluctuation mainly due to the interaction between rotating shed vortices and stationary eddies within the corners.

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액체의 표면 특성을 고려한 3차원 캐버티 내부의 스톡스 유동 특성 연구 (Study on the Stokes' Flow within a Three-Dimensional Cavity Considering Surface Characteristics)

  • 허효원;정원혁;서용권
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.382-386
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    • 2011
  • In this study, a CFD code is developed to perform simulation of the surface and internal flow of a three-dimensional rectangular cavity driven by an external gas flow. Investigated in this study are surface characteristic such as surface tension, surface dilational viscosity(or surface elasticity), and surface viscosity. Visualization of the surface of water is performed to compare with the numerical results obtained with the developed in-house code. We have found that the surface flow is very sensitive to the surface tension and other configurations. The surface flow velocity obtained from the numerical solution is lower than the experimental result.

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혼성 격자볼츠만 방법을 이용한 공동 형상 내부에서의 혼합 특성에 관한 수치적 연구 (Numerical Investigation of Mixing Characteristics in a Cavity Flow by Using Hybrid Lattice Boltzmann Method)

  • 신명섭;전석윤;윤준용
    • 대한기계학회논문집B
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    • 제37권7호
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    • pp.683-693
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    • 2013
  • 본 연구에서는 혼성 격자볼츠만 방법(HLBM)을 이용하여 상판이 일정한 속도로 움직이는 공동 형상 내부에서의 혼합 특성에 대하여 수치적으로 연구하였다. 먼저, 공동 형상에서 기존의 신뢰성 있는 유동장 결과와의 비교를 통해 LB-SRT 모델과 LB-MRT 모델의 신뢰성을 검토하였다. 두 모델 모두 기존의 연구결과와 유사한 결과를 보였으나, LB-MRT 모델이 LB-SRT 모델보다 높은 Re수에서는 수치적 안정성이 높은 것을 확인하였다. 수치적 안정성이 좋은 LB-MRT 모델을 토대로 유한차분법을 적용한 HLBM을 이용하여 공동 형상 내부에서의 농도장을 수치 해석하였다. Re수와 Pe수를 변화하여 공동 형상 내부의 혼합 특성과 물질 전달 형태에 대하여 파악하였다.

비압축성 점성유동의 와도와 압력 경계조건 (On the Vorticity and Pressure Boundary Conditions for Viscous Incompressible Flows)

  • 서정천
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.15-28
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    • 1998
  • As an alternative for solving the incompressible Navier-Stokes equations, we present a vorticity-based integro-differential formulation for vorticity, velocity and pressure variables. One of the most difficult problems encountered in the vorticity-based methods is the introduction of the proper value-value of vorticity or vorticity flux at the solid surface. A practical computational technique toward solving this problem is presented in connection with the coupling between the vorticity and the pressure boundary conditions. Numerical schemes based on an iterative procedure are employed to solve the governing equations with the boundary conditions for the three variables. A finite volume method is implemented to integrate the vorticity transport equation with the dynamic vorticity boundary condition . The velocity field is obtained by using the Biot-Savart integral derived from the mathematical vector identity. Green's scalar identity is used to solve the total pressure in an integral approach similar to the surface panel methods which have been well-established for potential flow analysis. The calculated results with the present mettled for two test problems are compared with data from the literature in order for its validation. The first test problem is one for the two-dimensional square cavity flow driven by shear on the top lid. Two cases are considered here: (i) one driven both by the specified non-uniform shear on the top lid and by the specified body forces acting through the cavity region, for which we find the exact solution, and (ii) one of the classical type (i.e., driven only by uniform shear). Secondly, the present mettled is applied to deal with the early development of the flow around an impulsively started circular cylinder.

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에크만 분출 모델을 이용한 캐버티 내의 비정상 유동특성에 관한 수치해석 (A Numerical Analysis of an Unsteady Flow in a Cavity Using an Ekman Pumping Model)

  • 서용권;박춘근;최윤환;문종춘
    • 한국해양공학회지
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    • 제11권4호
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    • pp.102-110
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    • 1997
  • A two dimensional shallow-water flow around a cavity driven by a sinusoidally oscillating external flow was studied numerically with an Ekman pumping model. A container model of "T" shape was constructed in the numerical computation for comparison with the experimental observation. The material transport in the external region is in good agreement with the experimentally recorded particle trajectories. It turns out that two large coherent vortices situated in the exterior region of the cavity are responsible for clockwise and counterclockwise drift motions, in large scale, of particles. The Ekman pumping model suggested in this study was found to be satisfactory.isfactory.

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농도분산에 근거한 혼합지수 사용의 문제 (On the Problem of Using Mixing Index Based on the Concentration Dispersion)

  • 서용권
    • 대한기계학회논문집B
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    • 제30권8호
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    • pp.796-805
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    • 2006
  • In this study, the problem of using the mixing index as a measure of the mixing performance for a certain flow field has been discussed. The flow model subjected to this study is the two-dimensional unsteady lid-driven cavity flow. The transport equation for the concentration within the cavity was solved by using the finite volume method where the convective terms are discretized with the central difference scheme. It was shown that both the concentration dispersion and the mixing index depend highly on the initial distribution of the concentration, and therefore the mixing index obtained from the concentration dispersion equation loses its universal applicability.

외부유동에 의한 캐버티 내의 비정상 유동에 대한 수치계산 (Numerical Computation of Unsteady Flow in a Cavity Induced by an Oscillatory External Flow)

  • Yong kweon Suh;Park, Yoon-Hwan;Park, Jun-Gwan;Moon, Jong-Ghoon
    • 한국해안해양공학회지
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    • 제9권4호
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    • pp.194-200
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    • 1997
  • 주기적으로 요동하는 외부유동에 의해 생성되는 캐버티 주위의 2차원 천수유동은 수치적으로 연구하였다. 실험결과와 비교하기 위해 T형의 용기모델을 수치적으로 계산하여 만들었다. 수치계산에서는 캐버티의 종횡비가 전체적인 유동패턴에 크게 영향을 끼치지 않고 종횡비 2에서는 캐버티의 깊은 부분에 정체된 유동형태가 생성되는 것을 제시한다. 높은 레이놀즈 수에서 유동을 가시화 시켰을 때 나다나지 않았던 많은 와류들이 유동장을 특성화 시키고 있다. 외부지역에서의 물질전달은 실험에서 나타난 입자궤적과 잘 일치한다. 캐버티의 외부지역에 위치한 두쌍의 와류가 규모가 큰 시계방향과 반시계방향의 순환유동을 발생시키는 원인이 되는 것이 증명된 셈이다.

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Finite Element Analysis of Fluid Flows with Moving Boundary

  • Cha, Kyung-Se;Park, Jong-Wook;Park, Chan-Guk
    • Journal of Mechanical Science and Technology
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    • 제16권5호
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    • pp.683-695
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    • 2002
  • The objective of the present study is to analyze the fluid flow with moving boundary using a finite element method. The algorithm uses a fractional step approach that can be used to solve low-speed flow with large density changes due to intense temperature gradients. The explicit Lax-Wendroff scheme is applied to nonlinear convective terms in the momentum equations to prevent checkerboard pressure oscillations. The ALE (Arbitrary Lagrangian Eulerian) method is adopted for moving grids. The numerical algorithm in the present study is validated for two-dimensional unsteady flow in a driven cavity and a natural convection problem. To extend the present numerical method to engine simulations, a piston-driven intake flow with moving boundary is also simulated. The density, temperature and axial velocity profiles are calculated for the three-dimensional unsteady piston-driven intake flow with density changes due to high inlet fluid temperatures using the present algorithm. The calculated results are in good agreement with other numerical and experimental ones.

비엇갈림 격자계에서 CIP법을 이용한 캐비티내의 유동해석 (Analysis of the Flow in Square Cavity Using CIP Method in Non-staggered Grid Arrangement)

  • 이정희;강준;임도균;김찬중
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.1821-1826
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    • 2003
  • In this study, we discuss CIP method, which can treat compressible/incompressible problem and multi-phase problem. We can apply this method to the general equations by using CCUP. In this paper, non-staggered grid arrangement and predictor-corrector method are used to enhance later development and the solution accuracy and convergence performance. To validate the numerical algorithm proposed in this paper, the two-dimensional unsteady flow in the driven cavity is simulated. The numerical results of this subject using the present algorithm are compared with other numerical results. As a result, it is prived that the present scheme gives stable and improved solutions, and the results even coarse grid are in good agreement with other result using a fine grid arrangement.

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