• 제목/요약/키워드: Navier-Stokes 해석

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Upwind Navier-Stokes 방정식을 이용한 무딘 물체 주위의 유동장 해석 (A Numerical Analysis of High Speed Flow over Blunt Body Using Upwind Navier-Stokes Method)

  • 권창오;김상덕;송동주
    • 한국전산유체공학회지
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    • 제1권1호
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    • pp.123-141
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    • 1996
  • In this paper the upwind flux difference splitting Navier-Stokes method has been applied to study the perfect gas and the equilibrium chemically reacting hypersonic flow over an axisymmetric sphere-cone(5°) geometry. The effective gamma(γ), enthalpy to internal energy ratio was used to couple chemistry with the fluid mechanics for equilibrium chemically reacting air. The test case condition was at altitude(30km) and Mach number(15). The equilibrium shock thickness over the blunt body region was much thinner than that of perfect gas shock. The pressure difference between perfect gas and equilibrium gas was about 3 ∼ 5 percent. The heat transfer coefficient were also calculated. The results were compared with VSL results in order to validate the current numerical analysis. The results from current method were compared well VSL results ; however, not well at near nose. The proper boundary condition and grid system will be studied to improve the solution quality.

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Upwind Navier-Stokes 방정식을 이용한 무딘 물체 주위의 유동장 해석 (A Numerical Analysis of High Speed Flow over Blunt Body Using Upwind Navier-Stokes Method)

  • 권창오;김상덕;송동주
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1995년도 추계 학술대회논문집
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    • pp.203-212
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    • 1995
  • In this paper the upwind flux difference splitting Navier-Stokes method has been applied to study the perfect gas and the equilibrium chemically reacting hypersonic flow over an axisymmetric sphere-cone($5^{\circ}$) geometry. The effective gamma($\bar{r}$), enthalpy to internal energy ratio was used to couple chemistry with the fluid mechanics for equilibrium chemically reacting air. The test case condition was at altitude(30Km) and Mach number(15). The equilibrium shock thickness over the blunt body region was much thinner than that of perfect gas shock. The pressure difference between perfect gas and equilibrium gas was about $3\sim5$ percent. The skin friction coefficient and heat transfer coefficient were also calculated.

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예조건화 Navier-Stokes 코드를 이용한 교각 유동해석 (The analysis of flow over the bridge using preconditioned Navier-Stokes code)

  • 유일용;이승수;박시형
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 춘계학술대회논문집
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    • pp.13-16
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    • 2008
  • After the collapse of the Tacoma bay bridge at Tacoma Washington, the accurate prediction of aerodynamics became crucial to the sound design of bridges. CFD(Computational Fluid Dynamics) becomes important tool for the prediction on wind effects on the bridge due to the recent development of CFD. The usage of CFD is further prompted by the advantages in using CFD, such as low-cost and fast feed-back of design. In this paper, an unsteady compressible Reynolds averaged Navier-Stokes code is used for the computation of the flow over bridges. Coakley's ��q-${\omega}$ �� two-equation turbulence model is used for the turbulent eddy viscosity. For accurate and stable computations, the local preconditioning method is adapted to the code. Aerodynamic characteristics of a couple bridges are presented to show the validity and the accuracy of the method.

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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.

예조건화 압축성 알고리즘에 의한 저마하수 유동장 해석기법 (Preconditioned Compressible Navier- Stokes Algorithm for Low Mach Number Flows)

  • 고현;윤웅섭
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.35-42
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    • 1998
  • Time marching algorithms applied to compressible Navier-Stokes equation have a convergence problem at low Mach number. It is mainly due to the eigenvalue stiffness and pressure singularity as Mach number approaches to zero. Among the several methods to overcome the shortcomings of time marching scheme, time derivative preconditioning method have been used successfully. In this numerical analysis, we adopted a preconditioner of K.H. Chen and developed a two-dimensional, axisymmetric Navier-Stokes program. The steady state driven cavity flow and backward facing step flow problems were computed to confirm the accuracy and the robustness of preconditioned algorithm for low Mach number flows. And the transonic and supersonic flows insice the JPL axisymmetric nozzle internal flow is exampled to investigate the effects of preconditioning at high Mach number flow regime. Test results showed excellent agreement with the experimental data.

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다중격자와 인공점성항을 이용한 3차원 비압축성 흐름에 관한 수치모형 해석 (Numerical Simulation of Three Dimensional Incompressible Flows Using the Navier-Stokes Equations with the Artificial Dissipation Terms and a Multigrid Method)

  • 박기두;이길성
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2007년도 학술발표회 논문집
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    • pp.1392-1396
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    • 2007
  • The governing equations in generalized curvilinear coordinates for 3D laminar flow are the Incompressible Navier-Stokes (INS) equations with the artificial dissipative terms. and continuity equation discretized using a second-order accurate, finite volume method on the nonstaggered computational grid. This method adopts a dual or pseudo time-stepping Artificial Compressibility (AC) method integrated in pseudo-time. Multigrid methods are also applied because solving the equations on the coarse grids requires much less computational effort per iteration than on the fine grid. The algorithm yields practically identical velocity profiles and secondary flows that are in excellent overall agreement with an experimental measurement (Humphrey et al., 1977).

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삼차원 점성 효과를 고려한 축류 압축기의 성능에 대한 수치해석 (Numerical Analysis for the Performance of an Axial-flow Compressor with Three-Dimensional Viscous Effect)

  • 한용진;김광용;고성호
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2003년도 추계 학술대회논문집
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    • pp.182-187
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    • 2003
  • Numerical analysis of three-dimensional vicous flow is used to compute the design speed operating line of a transonic axial-flow compressor. The Navier-Stokes equation was solved by an explicit finite-difference numerical scheme and the Baldwin-Lomax turbulence model was applied. A spatially-varying time-step and an implicit residual smoothing were used to improve convergence. Two-stage axial compressor of a turboshaft engine developed KARI was chosen for the analysis. Numerical results show reasonably good agreements with experimental measurements made by KARI. Numerical solutions indicate that there exist a strong shock-boundary layer interaction and a subsequent large flow separation. It is also observed that the shock is moved ahead of the blade passage at near-stall condition.

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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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일반 비직교 표면좌표계에서의 비압축성 Navier-Stokes방정식의 수치해석 (Calculation of the incompressible Navier-stokes equations in generalized nonorthogonal body fitted coordinate system)

  • 강동진;배상수
    • 대한기계학회논문집B
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    • 제20권3호
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    • pp.1015-1027
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    • 1996
  • In this paper, a numerical procedure for the calculation of the incompressible Navier-Stokes equations in a generalized nonorthogonal body fitted coordinate system is proposed and is validated through three test problems. Present numerical procedure derives the pressure equation by using the pressure substitution method on the regular grid system, and discretized momentum equations are based on the covariant velocity components. Cavity flow, backward facing step flow, and two dimensional channel flow with a sinusoidal wavy wall are chosen as three test problems. Numerical solutions obtained by present procedure shows a good agreement with previous numerical and/or experimental results. Convergence rate is also satisfactory.

자유표면파 계산 및 준쇄파 수치연구 (Computation of Free Surface Flows and Detection of Sub-Breaking)

  • 곽승현
    • 한국해양공학회지
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    • 제13권3호통권33호
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    • pp.114-122
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    • 1999
  • 준쇄파(쇄파발생정 리플형태의 불안정파)를 수치적으로 해석하고 예측하기 위하여 수중날개를 대상으로 점성유동장의 계산을 수행하였다. Navier-Stokes 방정식을 사용하여 자유수면을 계산하였고 정도향상을 위하여 Euler 형태의 자유표면조건에 고차의 유한차문법을 적용하였다. 이산화 과정에서 자유표면 격자에 3차 풍상미분항을 적용시켜 수치계산을 수행하였고, 계산결과를 사용하여 준쇄파의 생성조건을 규명하였다.

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