• Title/Summary/Keyword: upwind scheme

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Numerical study of three-dimensional flow through turbine flow meter (터빈유량계의 3차원 유동에 관한 수치적 연구)

  • Kim, J. B.;Park, K. A.;Ko, S.
    • 유체기계공업학회:학술대회논문집
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    • 2000.12a
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    • pp.247-252
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    • 2000
  • Flow through turbine flow meter is simulated by solving the incompressible Navier-Stockes equations. The solution method is based on the pseudocompressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel Line relaxation method. The equations are solved steadily in rotating reference frames and the centrifugal force and the Coriolis force are added to the equation of motion. The standard k-$\epsilon$ model is employed to evaluate turbulent viscosity.

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Parametric Study on the Aerodynamic Design of Axial-Flow Turbine Blades Using Two-Dimensional Navier-Stokes Equations (Navier-Stokes 방정식에 의한 축류터빈 블레이드의 공력학적 설계변수 특성 연구)

  • Chung, Ki-Seob;Chung, Hee-Taeg;Park, Jun-Young;Baek, Je-Hyun;Chang, Beom-Ik;Cho, Soo-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2000.12a
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    • pp.169-175
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    • 2000
  • A design method for transonic turbine blades is developed based on Navier-Stokes equations. The present computing process is done on the four separate steps, 1.e., determination of the blade profile, generation of the computational grids, cascade flow simulation and analysis of the computed results in the sense of the aerodynamic performance. The blade shapes are designed using the cubic polynomials under the control of the design parameters. Numerical methods for the flow equations are based on Van-Leer's FVS with an upwind TVD scheme on the finite volume. Applications are made to the VKI transonic rotor blades. Computed results are analyzed with respect to the aerodynamic performance and are compared with the experimental data.

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Unstructured-grid Pressure-based Method for Analysing Incompressible flows (비정형격자 압력기준 유동해석기법을 이용한 비압축성 유동해석)

  • Kim J.;Kim T. J.;Kim Y. M.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.42-47
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    • 1998
  • The pressure-based methods are very popular in CFD because it requires less computer core memory compared to other coupled or density-based solvers. Currently structured-mesh methodology based on pressure-based algorithm is quite mature to apply to the practical problems. The unstructured mesh method needs much more computer memory than the structured-mesh method. However the pressure-based method utilizing the sequential approach does not require very large memory used for unstructured-mesh density-based solvers. The present study has developed the unstructured grid pressure-based method. Cell-centered finite volume method was selected due to robustness for imposing various boundary conditions and easy implementation of higher-order upwind scheme. The predictive capability of present method has validated against several benchmark problems.

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Numerical Study of the blade dynamics for a cross-flow turbine

  • Sato Yuko;Kawamura Tetuya
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.230-231
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    • 2003
  • Two and three-dimensional flows around a cross-flow wind turbine are investigated by the numerical simulation. The turbine studied in this paper has cylindrical shape with many small blades along its periphery. Incompressible Navier-Stokes equation is used for this simulation. A rotating coordinate system, which rotates at the same speed of the turbine, is used in order to simplify the boundary conditions on the blades of the turbine. Additionally, a boundary fitted coordinate system is employed in order to express the shape of the blades precisely. A third order upwind scheme is chosen for the approximation of the non-linear terms. When the number of blades is about 10, the highest torque is obtained.

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Computation of supersonic turbulent base flow using two-equation and Reynolds stress models (2-방정식 및 레이놀즈 응력 모형을 이용한 초음속 난류 기저유동의 수치적 계산)

  • Kim M. H.;Park S. O.
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.9-17
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    • 1997
  • The performance of several turbulence models in computing an axisymmetric supersonic base flow is investigated. A compressible Navier-Stokes code, which incorporates k-ε, k-ω model and Reynolds stress closure with three kinds of pressure-strain correlation model, has been developed using implicit LU-SGS algorithm with second-order upwind TVD scheme. Numerical computations have been carried out for Herrin and Dutton's base flow. It is observed that the two-equation models give large backward axial velocity approaching to the base and somewhat larger variation of base pressure distribution than the Reynolds stress model. It is also found that the Reynolds stress model with third order pressure-strain model in the anisotropy tensor predicts most accurate mean flow field.

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Numerical Analysis of Turbulent Flow Through Turbine Flow Meter (터빈유량계의 난류유동에 대한 수치해석)

  • Kim, J.B.;Park, K.A.;Ko, S.
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.573-578
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    • 2000
  • Flow through turbine flow meter is simulated by solving the incompressible Navier-Stockes equations. The solution method is based on the pseudocompressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel line relaxation method. The equations are solved steadily in rotating reference frames and the centrifugal force and tile Coriolis force are added to the equation of motion. The standard $k-{\varepsilon}$ model is employed to evaluate turbulent viscosity. At first the stability and accuracy of the program is verified with the flow through a square duct with a $90^{\circ}$ bend and on the flat plate.

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Numerical Analysis of Aerodynamic Performance for Tilt Rotor Aircraft in Cruise Mode Using Chimaera Grid Method (겹침격자 기법을 이용한 틸트로터의 순항모드에 대한 공력성능 수치해석)

  • Ko S. H.;Ahn S. W.;Kim B. S.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.87-90
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    • 2004
  • A numerical analysis was made for the unsteady flow fields of rotor system of a Tilt-Rotor aircraft in cruise mode. The Reynolds-averaged thin-layer Navier-Stokes equations were discretized by Roe's upwind differencing scheme and integrated in time by the LU-SGS algorithm. The computational domain of the rotor system was constructed by six multi-block Chimera grids. Simulated unsteady flow fields of rotating blades were studied in several different view points.

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Propagation of Shock Waves in the Two-Phase Media (이상유동에서의 충격파 전파 특성)

  • Yeom Geum Su;Chang Keun Shik
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.215-220
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    • 2004
  • A mathematical formulation based on two-phase, two-fluid hyperbolic conservation laws is developed to investigate propagation of shock waves in one- and two-dimensions. We used a high resolution upwind scheme called the split-coefficient matrix method. Two extreme cases are computed for validation of the computer code: the states of a pure gas and a pure liquid. Computed results agreed well with the previous experimental and numerical results. It is studied how the shock wave propagation pattern is affected by the void fraction in the two-phase flow. The shock structure in a two-phase flow turned out, in fact, much deviated from the shape well known in the gas only phase.

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Parallelization of an Unstructured Implicit Euler Solver (내재적 방법을 이용한 비정렬 유동해석 기법의 병렬화)

  • Kim J. S.;Kang H. J.;Park Y. M.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.5 no.2
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    • pp.20-27
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    • 2000
  • An unstructured implicit Euler solver is parallelized on a Cray T3E. Spatial discretization is accomplished by a cell-centered finite volume formulation using an upwind flux differencing. Time is advanced by the Gauss-Seidel implicit scheme. Domain decomposition is accomplished by using the k-way n-partitioning method developed by Karypis. In order to analyze the parallel performance of the solver, flows over a 2-D NACA 0012 airfoil and 3-D F-5 wing were investigated.

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Direct Simulations of Aerodynamic Sounds by the Finite Difference and Finite Volume Lattice Boltzmann Methods

  • Tsutahara, Michihisa;Tamura, Akinori;Motizuki, Kazumasa;Kondo, Takamasa
    • 한국전산유체공학회:학술대회논문집
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    • 2006.10a
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    • pp.22-25
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    • 2006
  • Direct simulations of aerodynamic sound, especially sound emitted by rapidly rotating elliptic cylinder by the finite difference lattice Boltzmann method (FDLBM). Effect of pile-fabrics for noise reduction is also studied by the finite volume LBM (FVLBM) using an unstructured grid. Second order time integration and third order upwind scheme are shown to be enough for these simulations. Sound sources are detected to be doublets for both cases. For the elliptic cylinder, the doublet is generated in the interaction between the vortex and the edge. For the circular cylinders, they are generated synchronizing with the Karman vortex street, and it is also shown that the pile-fabrics covering the surface of the cylinder reduces the strength of the source.

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