• Title/Summary/Keyword: navier-stokes flow

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A Study on the Viscous Inverse Method for the High Speed Axisymmetric Body Design (고속 축대칭 비행체 설계를 위한 점성 Inverse 기법 연구)

  • Lee Young-Ki;Lee Jaewoo
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.35-43
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    • 1997
  • An efficient inverse method for 1.he supersonic/hypersonic axisymmetric body design is developed for the parabolized Navier-Stokes equations. The developed method is examined numerically for three extreme testcases in the supersonic(M/sub ∞/=3.0) and hypersonic(M/sub ∞/=6.28) speeds. The first one is a negative pressure distribution near a vacuum pressure and the second one is a positive pressure distribution over the whole region of the body. The last one is the case of abrupt change of pressure distribution to zero in the forward region of the body. These testcases show the robustness of the method. By introducing a regular-falsi method and by using a not-fully converged inverse solution, the convergence behavior was greatly improved.

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

  • Park, Ki-Doo;Lee, Kil-Seong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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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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CFD Optimization of Supersonic Minimum Drag Forebody (CFD 방법에 의한 초음속 비행체 Nose 의 최소항력 형상 설계)

  • Oh Seung Min;Yoon Sung Joon
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.154-159
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    • 1995
  • Numerical optimization technique with Navier-Stokes code has been used to reduce the drag of conventional ogival nose. Forebody optimizations are performed for supersonic laminar and turbulent flow conditions. To alleviate the computing time of aerodynamic drag calculation, axisymmetric boundary condition is implemented in the 3-dimensional Navier-Stokes code. The automated optimization procedure with gradient based method results in a drag reduction of $4\;\%$.

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Analysis of Airfoil Boundary Layer Characteristics with Navier-Stokes Equations (Navier-Stokes equations을 활용한 익형의 점성경계층 특성분석)

  • Kim, C.W.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.199-201
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    • 2011
  • NACA0012 Airfoil was simulated with Computational Fluid Dynamics(CFD) and the aerodynamic characteristics was analyzed for various far-field boundary distances ranging from 10 airfoil chord to 50 chord Drag coefficient distribution was dependent on the far-field distance and circulation, integrated along the loop inside the flow region, was also dependent. It was turned out that some corrections based on the circulation should be added to the far-field boundary condition for accurate airfoil simulation.

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Analysis of Flow through High Pressure Bypass Valve in Power Plant (발전소용 고압 바이패스 밸브의 유동해석)

  • Cho, An-Tae;Kim, Kwang-Yong
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2558-2562
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    • 2007
  • In the present work, flow characteristics analysis has been performed for steam turbine bypass control valve (single-path type). The numerical analysis is performed by solving three-dimensional Reynolds-averaged Navier-Stokes (RANS) equations. Shear stress transport (SST) model is used as turbulence closure. Symmetry condition is applied at the mid plane of the valve while adiabatic condition is used at the outer wall of the cage. Grid independency test is performed to find the optimal number of grid points. The pressure and temperature distributions on the outer wall of the cage are analyzed. Mass flow rate at maximum plug opening condition is compared with the designed mass flow rate.

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Performance Prediction of Eckardt's Impeller based on The Development of compressible Navier-Stokes Solver (압축성 유동 해석 프로그램 개발을 통한 Eckardt 임펠러의 성능 예측)

  • Kwak, Seung-Chul
    • 유체기계공업학회:학술대회논문집
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    • 1998.12a
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    • pp.223-232
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    • 1998
  • To investigate the flow inside the centrifugal impeller, computer program which can solve Three-dimensional compressible turbulent flow has been developed. The Navier-Stokes equations were chosen as the governing equation for viscous flow while Euler equations for inviscid case. Time marching method was incorporated with the Flux Difference Splitting method suggested by Roe to capture the steep gradients such as a shock. For high order of accuracy, MUSCL approach was adopted while differentiable limiter to ensure TVD property. For turbulence closure, Baldwin- Lomax model was applied due to its simplicity. To demonstrate the capabilities of present program, several validation problems have been solved and compared with experiments and other available data. From the above calculations generally good agreements were obtained. Finally, the developed code was applied to Eckardt's impeller and the performance prediction was carried out. Some important aspects on boundary condition for successful simulation were discussed and the remedy was also introduced.

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3-D Incompressible Viscous Flow Analysis Around A Rotor-Stator with Rotor-Stator Interaction (로터-스테이터 상호작용을 고려한 3차원 유동 해석)

  • Kim K. H.;Jung Y. L.;Park W. G.;Lee S. W.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.78-83
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    • 2000
  • An iterative time marching procedure for solving incompressible internal flow has been applied to the flow around a rotor-stator. This procedure solves three-dimensional incompressible Reynolds-averaged Navier-Stokes equation on a moving, time-deforming, non-orthogonal body-fitted grid using second-order accurate schemes for the time derivatives and third/second-order accurate schemes for the spatial derivatives. To handle rotationg geometry, the multiblock technique is applied and the overall flow domain is subdivided into two blocks. In each block, a grid is generated and flowfield is solved independently of the other blocks. The boundary data for each block is provided by the neighboring blocks using bilinear interpolation technique.

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Sensitivity Analysis for the Navier-Stokes Equations with Two-Equation Turbulence Models

  • 김창성;김종암;노오현
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.66-72
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    • 2000
  • Aerodynamic sensitivity analysis is performed for the Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method and a direct differentiation method respectively. Like the mean flow equations, the turbulence model equations are also hand-differentiated to accurately calculate the sensitivity derivatives of flow quantities with respect to design variables in turbulent viscous flows. Both the direct differentiation code and the adjoint variable code adopt the same time integration scheme with the flow solver to efficiently solve the differentiated equations. The sensitivity codes are then compared with the flow solver in terms of solution accuracy, computing time and computer memory requirements. The sensitivity derivatives obtained from the sensitivity codes with different turbulence models are compared with each other. Using two-equation turbulence models, it is observed that a usual assumption of constant turbulent eddy viscosity in adjoint methods may lead to seriously inaccurate results in highly turbulent flows.

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A Numerical Analysis of Three-Dimensional Flow Within a Transonic Fan (천음속 팬의 3차원 유동에 관한 수치해석)

  • Chung, Juhyun;Ko, Sungho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.1
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    • pp.82-91
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    • 1999
  • A numerical analysis based on the three-dimensional Reynolds-averaged Navier-Stokes equation has been conducted to investigate the flow within a NASA rotor 67 transonic fan. General coordinate transformations are used to represent the complex blade geometry and an H-type grid is used. The governing equations are solved using implicit LU-SGS scheme for the time-marching integration and a standard ${\kappa}-{\varepsilon}$ model is used with wall functions for the turbulence modeling. The computations are compared with the experimental data and a detailed study of the flow structures near peak efficiency and near stall is presented. The calculated overall aerodynamic efficiency and three-dimensional shock system agree well with the laser anemometer data.

A Study on Flow Characteristics of Two-Dimensional Backward-Facing Step by CFD (CFD에 의한 2차원 후향계단에서의 재부착 유동특성에 관한 연구)

  • Choi Y. D.;Lee Y. H.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.127-132
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    • 1998
  • The present study is aimed to investigate flow characteristics of Two dimensional backward-facing step by numerical approach. A convection conservative difference scheme based upon SOLA algorithm is used for the solution of the two-dimensional incompressible Navier-Stokes equations to simulate the laminar, transitional and turbulent flow conditions at which the experimental data can be available for the backward-facing step. The twenty kinds of Reynolds number are used for the calculations. In an effort to demonstrate that the reported solutions are dependent on the mesh refinement, computations are performed on seven different meshes of uniformly increasing refinement. Also to investigate the result of inflow dependence, two kinds of the inflow profile are chosen for the laminar flow. As criterion of benchmarking the result of numerical simulation, reattachment length is used for the selected Reynolds numbers.

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