• 제목/요약/키워드: Lid-Driven Cavity Flow

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높은 Re수에서의 2차원 Lid-Driven 캐비티유동의 수치해석 (Numerical Simulation of 2-D Lid-Driven Cavity Plow at High Reynolds numbers)

  • 명현국;김종은
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 춘계 학술대회논문집
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    • pp.153-158
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    • 2005
  • Numerical simulations of two-dimensional steady incompressible lid-driven flow in a square cavity are presented to verify the validity of a new solution code(PowerCFD) with unstructured grids. The code uses the non-staggered(collocated) grid approach which is very popular for incompressible flow analysis because of its numerical efficiency on the curvilinear or unstructured grids. Solutions are obtained for configurations with a Reynolds number as high as 10,000 with both rectangular and hybrid types of unstructured grid mesh. Interesting features of the flow are presented in detail and comparisons are made with benchmark solutions found in the literature. It is found that the code is capable of producing accurately the nature of the lid-driven cavity flow at high Reynolds numbers.

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정사각 캐비티내 고레이놀즈수 Lid-Driven 유동의 수치해석 (NUMERICAL SIMULATION OF LID-DRIVEN FLOW IN A SQUARE CAVITY AT HIGH REYNOLDS NUMBERS)

  • 명현국
    • 한국전산유체공학회지
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    • 제10권4호통권31호
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    • pp.18-23
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    • 2005
  • Numerical simulations of two-dimensional steady incompressible lid-driven flow in a square cavity are presented by a new solution code(PowerCFD) which adopts an unstructured cell-centered method. Solutions are obtained for configurations with a Reynolds number as high as 10,000 with both rectangular and hybrid types of unstructured grid mesh in order to validate the code's independency of grid type. Interesting features of the flow are presented in detail and comparisons are made with benchmark solutions found in the literature. It is found that the code is capable of producing accurately the nature of the lid-driven cavity flow at high Reynolds numbers with no grid type dependency.

다중완화시간 격자 볼츠만기법을 이용한 다양한 종횡비의 리드드리븐 공동유동 수치해석연구 (SIMULATION OF LID DRIVEN CAVITY FLOW WITH DIFFERENT ASPECT RATIOS BY MULTI-RELAXATION-TIME LATTICE BOLTZMANN METHOD)

  • 황팅팅;송주헌;임희창
    • 한국가시화정보학회지
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    • 제18권3호
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    • pp.42-51
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    • 2020
  • This study performs a numerical simulation of lid driven rectangular cavity flow with different aspect ratios of k = 0.5 to 4 under Reynolds 100, 1,000, 10,000 by using multi-relaxation time (MRT) Lattice Boltzmann Method (LBM). In order to achieve better convergence, well-posed boundary conditions in the domain should be defined such as no-slip condition on side and bottom solid wall surfaces and uniform horizontal velocity on the top of the cavity. This study focuses on the flow inside different shape of rectangular cavity with the aim to observe the effect of the Reynolds number and aspect ratio on the flow characteristics and primary/secondary vortex formation. In order to validate the study, the results have been compared with existing works. The result shows that the Reynolds number and the aspect ratio both has substantial effects on the flow inside the lid-driven rectangular cavity.

드리븐 캐버티 내의 혼합현상에 대한 수치적 가시화 (NUMERICAL VISUALIZATION OF THE MIXING PATTERN IN A LID-DRIVEN-CAVITY FLOW)

  • 서용권
    • 한국전산유체공학회지
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    • 제11권3호
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    • pp.37-45
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    • 2006
  • In this study we present the numerical methods that can be used in visualization of the flow and mixing patterns in a cavity driven by a top lid. The basic flow field within the cavity has been obtained by using a simple numerical scheme. The invariant manifold also called unstable manifold was then attained to represent the mixing pattern within the cavity. It was shown that care must be taken in calculating the trajectories of the fluid particles especially near corners of the cavity. The numerical results show excellent agreement with those obtained experimentally by other research group.

HYBRID기법과 QUICKER기법 : 공동 유동의 계산 특성 비교 (HYBRID Scheme vs. QUICKER Scheme : Comparison Based on Lid-driven Cavity flow Computations)

  • 조성호;강인준;박승오
    • 대한기계학회논문집
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    • 제17권6호
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    • pp.1640-1647
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    • 1993
  • 본 연구에서는 속도-압력 연계방법으로는 SIMPLE기법을 적용하고, 비균일 격자계에서도 사용할 수 있는 QUICKER방법과 함께 HYBRID방법을 이용하여 이와 같은 물음에 대한 대답을 구하고자 하였다. 이를 위하여 수치적 실험을 위한 흐름으로 본 연구에서 선택한 정사각형 공동 흐름 (square cavity flow)은 재순환 유동의 수치 적 해법을 위한 표준유동으로 많이 사용되어 왔으며, 대한기계학회 전산유체분과에서 도 여러 수치기법을 비교평가 하기 위한 흐름으로 채택된 적이 있는 흐름이다.

유선상류 유한요소법을 이용한 유동장의 해석 (An Analysis of Fluid Flow Using the Streamline Upwinding Finite Element Method)

  • 최형권;유정열
    • 대한기계학회논문집
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    • 제18권3호
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    • pp.624-634
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    • 1994
  • A numerical method which combines equal-order velocity-pressure formulation originated from SIMPLE algorithm and streamline upwinding method has been developed. To verify the proposed numerical method, we considered the lid-driven cavity flow and backward facing step flow. The trend of convergence history is stable up to the error criterion beyond which the maximum value of error is oscillatory due4 to the round-off error. In the present study, all results were obtained with the single precision calculation up to the given error criterion and it was found to be sufficient for our purpose. The present results were then compared with existing experimental results using laser doppler velocimetry and numerical results using finite difference method and mixed interpolation finite element method. It has been shown that the present method gives accurate results with less memories and execution time than the coventional finite element method.

정방형 벨트구동 캐비티의 흐름특성에 관한 연구 (A Study on Flow Characteristics of Lid-Driven Square Cavity)

  • 김진구;조대환;김춘식;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • 제21권4호
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    • pp.430-436
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    • 1997
  • Time-dependent Flow characteristics of a two-dimensional lid-driven square cavity flow of six high Reynolds numbers, $10^4 2{\times}lO^4., 3{\times}l0^4, 5{\times}lO^4, 7.5{\times}lO^4$ and $10^5$ were investigated. A convection conservative difference scheme based upon SOLA to maintain the nearly 2nd-order spatial accuracy was adopted on irregular grid formation. Irregular grid number is $80{\times}80$ and its minimum size is about 1/400 of the cavity height(H) and its maximum is about 1/53 H. The result shows that at Re= $10^4$, periodic migration of small eddies appearing in corner separation region and its temporal sinusoidal fluctuation are represented. And another critical Reynolds number which shows the commencement of flow randomness emerging from the periodic fluctuation is assumed to be around Re= $1.5{\times}10$. At five higher Reynolds numbers ($2{\times}lO^4., 3{\times}l0^4, 5{\times}lO^4, 7.5{\times}lO^4$ and $10^5$), an organizing structure of four consecutive vortices similar to a Moffat vortex at two lower corners is revealed from time-mean flow patterns.

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수치해의 정확성과 안정성이 보장되는 대류항 미분법 개선에 관한 연구 (Study on the Improvement of the Convective Differencing Scheme for the High-Accuracy and Stable Resolution of the Numerical Solution)

  • 신종근;최영돈
    • 대한기계학회논문집
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    • 제16권6호
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    • pp.1179-1194
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    • 1992
  • 본 연구에서는 이 기존의 방법들을 개선하여 비균일격자계에서도 사용할 수 있는 비선형 함수관계를 제시하며, 이 방법과 기존의 해법들을 비교할 때 실제 유동장 에서의 해의 정확도 차이, 전산비용의 경제성등은 어느정도 인지를 밝히고, 또 개선된 해법이 앞서 제시한 좀 더 복잡한 유동장에서도 성공적으로 적용 가능한지의 여부를 판단하는 것을 그 목적으로 한다.