• 제목/요약/키워드: 나비어-스톡스 방정식 모델

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유동장 수치해석이 포함된 퍼프모델을 이용한 오염물질의 확산 해석 (Pollutant Dispersion Analysis Using the Gaussian Puff Model with the Numerical Flowfield Information)

  • 정영래;박원규;박옥현
    • 한국전산유체공학회지
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    • 제4권3호
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    • pp.12-20
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    • 1999
  • The computations of the flowfield and pollutant dispersion over a flat plate and the Russian hills of various slopes are described. The Gaussian plume and the puff model have been used to calculate concentration of pollutant. The Reynolds-averaged unsteady incompressible Navier-Stokes equation with low Reynolds κ-ε model has been used to calculate the flowfield. The flow data of a flat plate and the Russian hills from Navier-Stokes equation solutions has been used as the input data for the puff model. The computational results of flowfield agree well with experimental results of both a flat plate and Russian hills. The concentration prediction by the Gaussian plume model and the Gaussian puff model also agrees flirty well with experiments.

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관류 익형송풍기의 유동해석에 대한 난류모델 및 수치도식의 영향에 관한 연구 (A Study on the Effects of Turbulence Model and Numerical Scheme on Analysis of the Flow through Airfoil Type Tubular Fan)

  • 문정주;서성진;김광용
    • 한국유체기계학회 논문집
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    • 제6권1호
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    • pp.23-29
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    • 2003
  • Three-dimensional flow through a tubular centrifugal fan with airfoil type blades is analyzed, and the effects of turbulence model and numerical scheme on the results are investigated. Standard $k-{\epsilon}$ model and k - w model are tested as turbulence closures. The numerical schemes for convection terms, i.e., Upwind Differencing Scheme (UDS), Mass Weighted Skewed upstream differencing scheme (MWS), Linear Profile Skewed upstream differencing scheme (LPS), and Modified Linear Profile Skewed upstream differencing scheme (MLPS) are also tested, and the performances of these schemes coupled with two turbulence models are evaluated. The static pressure distributions are compared with experimental data obtained in this work, which shows that the $k-{\epsilon}$ model gives better results than the k-w model.

헤링본 미세혼합기의 크리깅 모델을 사용한 최적형상설계 (Shape Optimization of A Micromixer with Herringbone Grooves Using Kriging Model)

  • 아매드 앤사리;김상용
    • 대한기계학회논문집B
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    • 제31권8호
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    • pp.711-717
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    • 2007
  • Shape optimization of a staggered herringbone groove micromixer using three-dimensional Navier-Stokes analysis has been carried using Kriging model. The analysis of the degree of mixing is performed by the calculation of spatial data statistics. The calculation of the variance of the mass fraction at various nodes on a plane in the channel is used to quantify mixing. A numerical optimization technique with Kriging model is applied to optimize the shape of the grooves on a single wall of the channel. Three design variables, namely, the ratio of groove width to groove pitch, the ratio of the groove depth to channel height ratio and the angle of the groove, are selected for optimization. A mixing index is used as the objective function. The results of the optimization show that the mixing is very sensitive to the shape of the groove which can be used in controlling mixing in microdevices.

크리깅 모델을 이용한 미세유로의 형상최적설계 (Shape Optimization of a Micro-Channel Using Kriging Model)

  • 후세인 아프잘;김광용
    • 대한기계학회논문집B
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    • 제31권9호
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    • pp.733-740
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    • 2007
  • Microchannel heat sink shape optimization is performed using Kriging method. Design variables relating to microchannel width, depth and fin width are selected, and thermal resistance has been taken as objective function. Design points are selected through a three-level fractional factorial design of sampling method. Navier-Stokes and energy equations for laminar flow and conjugate heat transfer are solved at these design points using a finite volume solver. Solutions are carefully validated with experimental results. Using the numerically evaluated objective function, a surrogate model (Kriging) is constructed and optimum point is searched by sequential quadratic programming. The process of shape optimization greatly improves the thermal performance of microchannel heat sink under constant pumping power.

반응면기법을 이용한 PBMR 기체냉각형 고온가스로 상층부의 최적설계 (DESIGN OPTIMIZATION OF UPPER PLENUM OF PBMR USING RESPONSE SURFACE APPROXIMATION)

  • 이상문;김광용
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.187-194
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    • 2010
  • Shape optimization of an upper plenum of PBMR type gas cooled nuclear reactor has been performed by using three-dimensional Reynolds-Averaged Navier-Stokes (RANS) analysis and surrogate modeling technique. The objective function is defined as a linear combination of uniformity of flow distribution in the core and pressure drop in the upper plenum and the core. The ratio of thickness of slot to diameter of rising channels, ratio of height of upper plenum to diameter of rising channels, and ratio of eight of the slot at inlet to outlet, are used as design variables for optimization. Design points are selected through Latin-hypercube sampling. The optimal point is determined through surrogate-based optimization method which uses 3-D RANS analyses at design points. The results show that the optimum shape represent remarkably improved performance in flow uniformity and friction loss than the reference shape.

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반응면기법을 이용한 PBMR 기체냉각형 고온가스로 상층부의 최적설계 (DESIGN OPTIMIZATION OF UPPER PLENUM OF PBMR USING RESPONSE SURFACE APPROXIMATION)

  • 이상문;김광용
    • 한국전산유체공학회지
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    • 제15권3호
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    • pp.16-23
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    • 2010
  • Shape optimization of an upper plenum of a PBMR type gas cooled nuclear reactor has been performed by using three-dimensional Reynolds-Averaged Navier-Stokes (RANS) analysis and surrogate modeling technique. The objective function is defined as a linear combination of uniformity of flow distribution in the core and pressure drop in the upper plenum and the core. The ratio of thickness of slot to diameter of rising channels, ratio of height of upper plenum to diameter of rising channels, and ratio of height of the slot at inlet to outlet, are used as design variables for optimization. Design points are selected through Latin-hypercube sampling. The optimal point is determined through surrogate-based optimization method which uses 3-D RANS analyses at design points. The results show that the optimum shape represent remarkably improved performance in flow uniformity and friction loss than the reference shape.

비정렬 격자계에서 LU implicit scheme의 수렴성 및 안정성 해석: Part II - Navier-Stokes 방정식 (Convergence and Stability Analysis of LU Scheme on Unstructured Meshes: Part II - Navier-Stokes Equations)

  • 김주성;권오준
    • 한국항공우주학회지
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    • 제32권8호
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    • pp.1-11
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    • 2004
  • 본 연구에서는 비정렬 격자계에서 가장 많이 쓰이는 근사 해법 중에 하나인 LU 기법의 Navier-Stokse 방정식에 대한 수렴성 및 안정성에 관한 연구를 수행하였다. 적절한 스칼라 모델 방정식을 사용하여 LU 기법이 갖는 고유한 특성에 관한 해석적 논의를 수행하였으며, 이를 Navier-Stokes 방정식으로 확장하여 해석하였다. 그 결과 LU 기법의 강성도는 격자 종횡비가 높아짐에 띠라, 그리고 격자 레이놀즈 수 감소함에 따라 증가하게 된다. 또한 내부반복계산을 통해서 이러한 강성도가 부분적으로 극복될 수 있음을 보였으며, 평판 난류 유동 해석을 통해서 해석 결과를 검증하였다.

사다리꼴 미세유로의 형상최적화 (Shape Optimization of a Trapezoidal Micro-Channel)

  • 후세인 아프잘;김광욜
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회B
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    • pp.2666-2671
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    • 2007
  • This work presents microchannel heat sink shape optimization procedure using Kriging method. Design variables relating to microchannel width, depth and fin width are selected, and thermal resistance has been taken as objective function. Design points are selected through a three-level fractional factorial design of sampling method. Navier-Stokes and energy equations for laminar flow and conjugate heat transfer are solved at these design points using a finite volume solver. Solutions are carefully validated with experimental results. Using the numerically evaluated objective function, a surrogate model (Kriging) is constructed and optimum point is searched by sequential quadratic programming. The process of shape optimization greatly improves the thermal performance of microchannel heat sink under constant pumping power.

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Fractional Step 방법과 Compact Pade 차분화를 이용한 원형 실린더 주위의 난류 유동해석 (Turbulent Flow Analysis of a Circular Cylinder Using a Fractional Step Method with Compact Pade Discretization)

  • 정상희;박금성;박원규
    • 한국전산유체공학회지
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    • 제8권3호
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    • pp.50-55
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    • 2003
  • Recent numerical simulation has a tendency to require the higher-order accuracy in time, as well as in space. This tendency is more true in LES and acoustic noise simulation. In the present work, the accuracy of a Fractional step method, which is widely used in LES simulation, has been increased to the fourth-order accurate compact Pade discretization. To validate the present code, the flow-field past a cylinder was simulated and compared with experiment. A good agreement with experiment was achieved.

사실적인 유동 재현을 위한 계층적 미분 모델 (A Hierachical/Derivative Method for Animating High-Reynolds Fluids)

  • 송오영;김도엽;고형석
    • 한국컴퓨터그래픽스학회논문지
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    • 제12권3호
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    • pp.1-5
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    • 2006
  • 이 논문은 비물리적인 속도 감쇄현상을 감소시키는 새로운 유체시뮬레이션 방법을 제시한다. 제시된 방법은 물리량뿐만 아니라 물리량의 미분정보도 함께 이용하기 때문에 보다 정확한 물리현상을 반영할 수 있다. 나비어-스톡스 방정식을 푸는 일반적인 시뮬레이터는 수치 소산의 대부분은 대류항을 풀 때 발생한다. 따라서, 우리는 소산현상을 효과적으로 막는 CIP 대류방법을 이용하여, 옥트리 기반의 유체 시뮬레이터를 개발하였다. 우리는 실험을 통해, 제안된 방법이 높은 레이놀즈 수를 갖는 유체의 상세한 움직임(예를 들어, 작은 물방울/공기방울, 얇은 수막, 작은 소용돌이 등)을 효과적으로 모사함을 보인다.

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