• 제목/요약/키워드: Thin-Layer Navier-Stokes Equations

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Design Optimization of Axial Flow Compressor Blades with Three-Dimensional N avier-Stokes Solver

  • Lee, Sang-Yun;Kim, Kwang-Yong
    • Journal of Mechanical Science and Technology
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    • 제14권9호
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    • pp.1005-1012
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    • 2000
  • Numerical optimization techniques combined with a three-dimensional thin-layer Navier-Stokes solver are presented to find an optimum shape of a stator blade in an axial compressor through calculations of single stage rotor-stator flow. Governing differential equations are discretized using an explicit finite difference method and solved by a multi-stage Runge-Kutta scheme. Baldwin-Lomax model is chosen to describe turbulence. A spatially-varying time-step and an implicit residual smoothing are used to accelerate convergence. A steady mixing approach is used to pass information between stator and rotor blades. For numerical optimization, searching direction is found by the steepest decent and conjugate direction methods, and the golden section method is used to determine optimum moving distance along the searching direction. The object of present optimization is to maximize efficiency. An optimum stacking line is found to design a custom-tailored 3-dimensional blade for maximum efficiency with the other parameters fixed.

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날개꼴의 형상 최적화를 위한 유동방정식 영향 연구 (Influence of Flow Solvers On Airfoil Shape Optimization)

  • 정희택;류병석
    • 한국전산유체공학회지
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    • 제4권2호
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    • pp.67-73
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    • 1999
  • In the present paper, three types of the flow solvers were used to investigate the influence on the airfoil shape optimization. The adopted equations, i.e., Euler, thin layer Navier-Stokes and full Navier-Stokes ones. are solved using implicit LU-ADI decomposition scheme. The gradient projection method with the sinusoidal function was used as an optimization algorithm. The present numerical method was applied to the drag minimization problems under the initial shape of NACA0012 airfoils.

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날개꼴의 형상 최적화를 위한 유동방정식 영향 연구 (Influence of Flow Solvers On Airfoil Shape Optimization)

  • 정희택;류병석
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 춘계 학술대회논문집
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    • pp.171-176
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    • 1999
  • In the present paper, three types of the flow solvers were used to investigate the influence on the airfoil shape optimization. The adopted equations, i.e., Euler , thin layer Navier- Stokes and full Navier-Stokes ones, are solved using implicit LU-ADI decomposition scheme. The feasible direction algorithm with the sinusoidal function was used as an optimization algorithm. The present numerical method was applied to the drag minimization problems under the initial shape of NACA0012 airfoils.

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뭉뚝물체 주변에 형성된 극초음속유동에 대한 Navier-Stokes 계산 (Navier-Stokes Computations for Hypersonic flow on Blunt Bodies)

  • 백두성;김득상
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 추계 학술대회논문집
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    • pp.91-97
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    • 2001
  • The thin-layer Navier-Stokes equations are solved for the hypersonic flow over blunt cone configurations with applications to laminar as well as turbulent flows. The equations are expressed in the forms of flux-vector splitting and explicit algorithm. The upwind schemes of Steger-Warming and van Leer are investigated in their ability to accurately predict the heating loads along the surface of the body. A comparison with the second order extensions of these schemes is made and a hybrid scheme incorporating a combination of central differencing and flux-vector-splitting is presented. This scheme is also investigated in its ability to accurately predict heat transfer distributions.

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뭉뚝한 물체 주변에 형성된 극초음속유동해석 (Analytical Solution for Hypersonic Flow on Blunt Bodies)

  • 백두성
    • 한국전산유체공학회지
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    • 제8권4호
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    • pp.1-5
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    • 2003
  • A Thin-layer Wavier-Stokes equations are applied for the hypersonic flow over blunt bodies with applications to laminar as well as turbulent flows. The equations are expressed in the forms of flux-vector splitting and explicit algorithm. The upwind schemes of Steger-Warming and Van Leer are investigated to predict accurately the heating loads along the surface of the body. A mixed scheme has been presented for the differencing the convective terms and the mixed scheme is found to be less dissipative producing accurate solutions.

진동하는 날개의 3차원 동실속에 관한 수치해석 (Numerical Analysis of Three Dimensional Dynamic Stall of an Oscillating Wing)

  • 고성호
    • 대한기계학회논문집B
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    • 제25권1호
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    • pp.62-70
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    • 2001
  • Three-dimensional dynamic stall over an oscillating wing has been analyzed by using a compressible Navier-Stokes code. The code solved the thin-layer Navirer-Stokes equations with a second-order time accuracy for a semispan wing with 0.3048m chord, a NACA 0015 airfoil section, and zero twist Computations were made for a freestream Mach number of 0.29, a chord Reynolds number of 1.95$\times$10(sup)6 and a reduced frequency equal to 0.1. Numerical results were compared with experimental data which include the hysteresis of lift, drag and moment at various wing span. The comparison reveals the quantitative as well as qualitative nature of the three-dimensional dynamic stall.

터빈 익렬내부의 3차원 압축성 점성유동장의 수치해석 (Numerical Analysis of Three-Dimensional Compressible Viscous Flow Field in Turbine Cascade)

  • 정희택;백제현
    • 대한기계학회논문집
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    • 제16권10호
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    • pp.1915-1927
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    • 1992
  • 본 연구에서는 3차원 압축성 내부유동해석 코드를 개발하여 터어빈 정익이나 동익 내부의 차원 익렬 유동을 수치적으로 해석하고자 한다. 여기에서 사용된 코드 는 Obyashi의 LU-ADI기법을 이용한 기존의 2차원 익렬 유동해석 코드를 3차원 유동장 으로 학장한 것이고, 난류유동해석에는, Baldwin-Lomax의 박층 대수모델을 3차원으로 확장한 알고리즘을 적용하였다.Kiock등이 실험한 선형 터어빈 익렬 내부의 천음속 유동장에 적용하여 양끝 벽면에 의한 3차원 유동장 특성을 분석하고, 3차원 익렬 유동 코드의 적합성을 검토하였다.

Navier-Stokes 방정식을 이용한 초음속 제트 추진 비행체 후방의 유동해석 (Navier-Stokes Computations of Supersonic Flow over Missile Afterbodies Containing a Centered Propulsive Jet)

  • 윤병국;정명균
    • 대한기계학회논문집
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    • 제16권2호
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    • pp.356-368
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    • 1992
  • The strongly interactive flow field near a missile afterbody containing a centered exhaust jet is numerically investigated. The thin shear layer and full formulation of compressible, Reynolds I averaged Navier-Stokes equations are solved. A time-dependent implicit numericals algorithm is used to obtain solution for a variety of flow conditions. Turbulence closure is implemented by the Baldwin-Lomax algebraic eddy viscosity model. An adaptive grid technique is adopted to resolve flow regimes with large gradients and to improve the accuracy and efficiency of the computation, Numerical results show good agreemement with experimental data in all regimes.

단단 축류압축기 유동해석에 대한 k-w 난류모델의 응용 (Application of k-w turbulence model to the analysis of the flow through a single stage axial-flow compressor)

  • 이준석;김광용
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 1999년도 유체기계 연구개발 발표회 논문집
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    • pp.27-32
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    • 1999
  • A numerical study based on the three-dimensional thin-layer Navier-Stokes solver is carried out to analyze the flowfield through a single stage transonic compressor. Explicit four-step Runge-Kutta scheme with spatially variable time step and implicit residual smoothing is used. The governing equations are discretized with exploit finite difference method. Mixed-out average method is used at the interface between rotor and stator. And, an artificial dissipation model is used to assure the stability of solution. The results with k-$\omega$ turbulence model were compared to the results with Baldwin-Lomax model, and physical phenomena of transonic compressor are presented. The two turbulence models give the results that show reasonably good agreements with experimental data.

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Hypersonic 뭉뚝 물체 흐름에 적용된 CFD (Computational Fluid Dynamics Applied to Hypersonic Blunt Body Flows)

  • 백두성;한영출;하영민;김득상
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.311-316
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    • 2001
  • The thin-layer Navier-Stokes equations are solved for the hypersonic flow over blunt cone configurations with applications to laminar as well as turbulent flows. The equations are expressed in the forms of flux-vector splitting and explicit algorithm. The upwind schemes of Steger-Warming and van Leer are investigated in their ability to accurately predict the heating loads along the surface of the body. A comparison with the second order extensions of these schemes is made and a hybrid scheme incorporating a combination of central differencing and flux-vector-splitting is presented. This scheme is also investigated in its ability to accurately predict heat transfer distributions.

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