• Title/Summary/Keyword: Upwind flow

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Convergence Study of the Multigrid Navier-Stokes Simulation: I. Upwind Schemes (다중 격자 Navier-Stokes 해석을 위한 수렴 특성 연구 : I. 상류 차분 기법)

  • Kim, Yoon-Sik;Kwon, Jang-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.3
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    • pp.1-9
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    • 2004
  • This study concentrates on the upwind schemes for convergence acceleration of the multigrid method for the Navier-Stokes equations. Comparative study of the upwind schemes in the Fourier space has been performed to identify why the second-order upwind scheme with enlarged stencil can be preconditioned better than the classical second-order upwind scheme. The full-coarsening multigrid method with implicit preconditioned multistage scheme has been implemented for verification of analysis. Numerical simulations on the inviscid and turbulent flows with the Spalart-Allmaras turbulent model have been performed. The results showed consistent trend with the analysis.

Numerical Analyses on Wall-Attaching Offset Jet with Algebraic Reynolds Stress Model (대수 레이놀즈 응력모델에 의한 단이 진 벽면분류에 대한 수치해석)

  • Seo, Ho-Taek;Lee, Deuck-Soo;Boo, Jung-Sook
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.579-584
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    • 2000
  • Algebraic Reynolds Stress (ARS) model is applied in order to analyze the turbulent flow of wall-attaching offset jet and to evaluate the model's predictability. The applied numerical schemes are upwind scheme and skew-upwind scheme. The numerical results show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show slight deviations in second order (i.e., kinetic energy and turbulence intensity). By comparison with the previous results using $k-{\varepsilon}$ model, ARS model predicts better than the standard $k-{\varepsilon}$ model, however, predicts slightly worse than the $k-{\varepsilon}$ model including the streamline curvature modification. Additionally this study can reconfirm that skew-upwind scheme has approximately 25% improved predictability than upwind scheme.

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On Large Eddy Simulation with Centered and Upwind Compact Difference Schemes (중심 및 상류 컴팩트 차분기법을 적용한 난류유동의 LES)

  • Park Noma;Yoo Jung Yul;Choi Haecheon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.807-810
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    • 2002
  • The suitability of high-order accurate, central and upwind-biased compact difference schemes is evaluated for the large-eddy simulations of flows in complex geometry. Two flow geometries are considered: channel and circular cylinder. The effects of numerical dissipation and aliasing error on the evaluation of subgrid scale stress are investigated by extending the analysis by Ghosal (1) to centered and upwind compact schemes. It is shown that the failure of upwind schemes mainly comes from the aliasing error.

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The Monotone Streamline Upwind Finite Element Method Using Directionally Aligned Unstructured Grids (방향성을 갖는 비정렬 삼각형격자를 이용한 단조 유선 Upwind 유한요소해석)

  • CHEE Seon Koo;KWON Jang Hyuk
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.49-54
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    • 1997
  • Rice's monotone streamline upwind finite element method, which was proposed to treat convection-dominated flows, is applied to the linear triangular element. An alignment technique of unstructured grids with given velocity fields is used to prevent the interpolation error produced in evaluating the convection term in the upwind method. The alignment of grids is accomplished by optimizing a target function defined with the inner-product of a properly chosen side vector in the element with the velocity field. Two pure advection problems are considered to demonstrate the superiorities of the present approach in solving the convection-dominated flow on the unstructured grid. Solutions obtained with aligned grids are much closer to the exact solutions than those with initial regular grids. The capability of the present approach in predicting the appearance of the secondary vortex in the laminar confined jet impingement is shown by comparing streamlines to those produced by SIMPLE on a highly stretched grid toward the impingement plate.

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Numerical Analyses on Wall-Attaching Offset Jet with Algebraic Reynolds Stress Model (대수 레이놀즈 응력모델에 의한 단이 진 벽면분류에 대한 수치해석)

  • Seo, Ho-Taek;Bu, Jeong-Suk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.12
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    • pp.1615-1624
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    • 2000
  • Algebraic Reynolds Stree (ARS) model is applied in order to analyze the turbulent flow of wall-attaching offset jet and to evaluate the predictability of model. The applied numerical schemes are the upwind scheme and the skew-upwind scheme. The numerical results show a good prediction in the first order calculations(i.e., reattachment length, mean velocity, pressure), however, slight deviations in the second order(i.e., kinetic energy and turbulence intensity). Comparing with the previous results using the k-$\varepsilon$ model, the ARS model predicts better than the standard k-$\varepsilon$ model, however, slightly worse than the k-$\varepsilon$ model including the streamline curvature modification. Additionallay this study can reconfirm that the skew-upwind scheme has approximately 25% improved predictability than the upwind scheme.

A Study on Viscous Flow around a Pipeline between Parallel Walls by the Numerical Simulation (수치 시뮬레이션을 통한 평판내 파이프라인 주위의 점성유동 연구)

  • Kwag, Seung-Hyun
    • Journal of Navigation and Port Research
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    • v.27 no.5
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    • pp.473-478
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    • 2003
  • Numerical study was made on the flow characteristics around a circular pipeline between parallel walls. The incompressible Navier-Stokes equations were solved by using a third-order upwind differential scheme. When the distance near a wall is small enough, the vortex shedding is almost completely suppressed because of the interaction with the wall boundary layer separation. This study aims to clarify the characteristics of the vortex shedding regime as the body approaches a wall as Reynolds number varies. The feature of separated vorticity dynamics is analyzed at different conditions with particular attention to the interaction between the pipeline wake and the induced separation on the plane walls.

The Effects of Obstacle Aspect Ratio on Surrounding Flows (장애물 외관비가 주변 흐름에 미치는 영향)

  • Lee, Jae-Jin
    • Atmosphere
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    • v.17 no.4
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    • pp.381-391
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    • 2007
  • The characteristics of flow around a single obstacle with fixed height and varied length and width are numerically investigated using a computational fluid dynamics (CFD) model. As the obstacle length increases, flow distortion near the upwind side of the obstacle increases and the size of the recirculation zone behind the obstacle also increases. As the obstacle width increases, the size of the recirculation zone decreases, despite almost invariable flow distortion near the upwind side of the obstacle. Flow passing through an obstacle is separated, one part going around the obstacle and the other crossing over the obstacle. The size of the recirculation zone is determined by the distance between the obstacle and the point (reattachment point) at which both the flows converge. When the obstacle width is relatively large, flows are reattached at the obstacle surface and their recoveries occur. Resultant shortening of the paths of flows crossing over and going around decreases the size of the recirculation zone. To support this, the extent of flow distortion defined based on the change in wind direction is analyzed. The result shows that flow distortion is largest near the ground surface and decreases with height. An increase in obstacle length increases the frontal area fraction of flow distortion around the obstacle. In the cases of increasing the width, the frontal area fraction near the upwind side of the obstacle does not change much, but near the downwind side, it becomes larger as the width increases. The frontal area fraction is in a better correlation with the size of the recirculation zone than the building aspect ratios, suggesting that the frontal area fraction is a good indicator for explaining the variation in the size of the recirculation zone with the building aspect ratios.

A Numerical Analysis of Supersonic Counter Jet Flow Effect on Performance of a Supersonic Blunt-Body (초음속 역분사 유동이 초음속 비행체 성능에 미치는 영향에 대한 수치해석적 연구)

  • Seo D. K.;Seo J. I.;Song D. J.
    • Journal of computational fluids engineering
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    • v.7 no.3
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    • pp.1-8
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    • 2002
  • The counter jet flow which is injected against the free stream at stagnation region of blunt body for improvement of aerodynamic performance has been studied by using upwind Navier-Stokes method. The variations of drag force and upwind forward penetration depth due to changes in the stagnation thermodynamic properties of counter jet flow such as total pressure, Mach number, and total temperature have been studied. The results show that the changes in the stagnation pressure and Mach number have large effects on the wall pressure and drag force, but the total temperature does not affect the wall pressure and drag force.

Streamline Upwind FE Analysis for Incompressible Viscous Flow Problem (비압축성 점성유체에 관한 유선상류화 유한요소 해석)

  • 최창근;유원진;김윤석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.54-61
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    • 1996
  • This paper deals with finite element analysis for incompressible viscous flow problem By formulating the governing equation based on the streamline upwind concept , the wiggle phenomenon of fluid flow is minimized in spite of a few number of finite element used. The penalty function method which can reduce the number of independent variables is adopted for the purpose of computational efficiency and the selected reduced integral is carried out for the convection and pressure terms to reserve the stability of solution. In time-history analysis of fluid flow, the accuracy and reliability of an obtained solution are established by using the predictor-corrector method. Finally, correlation studies between analytical and experimental results are conducted wi th the object ive to establish the validity of the proposed numerical approach.

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Classification of Flow Regimes in Urban Street Canyons Using a CFD Model (CFD 모형을 이용한 도시 도로 협곡에서의 흐름 체계 분류)

  • Kim, Jae-Jin;Baik, Jong-Jin
    • Journal of Korean Society for Atmospheric Environment
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    • v.21 no.5
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    • pp.525-535
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    • 2005
  • Using a three-dimensional computational fluid dynamics (CFD) model with the $k-{\varepsilon}$ turbulence closure scheme based on the renormalization group theory, flow regimes in urban street canyons are classified according to the building and street aspect ratios. The transition between skimming flow (SF) and wake interference flow (WIF) is determined with the size of double-eddy circulation generated behind the upwind building. The transition between WIF and isolated roughness flow (IRF) is determined with the flow reattachment distance from the upwind building. The critical aspect ratios at which the flow transition occurs are found and compared with those in previous studies. The results show that the flow-regime classification method used in this study is quite reasonable and that the values of the critical aspect ratios are generally consistent with those in fluid experiments or large-eddy simulation. The regression equation describing a relation between the building and street aspect ratios at the flow-regime transition is presented.