• Title/Summary/Keyword: Characteristic Flux Difference-Splitting Numerical Analysis

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Applications of Characteristic Boundary Conditions within CFDS Numerical Framework (CFDS기법에 연계된 특성경계조건에 응용성에 대한 소개)

  • Hong S. K.;Lee K. S.
    • Journal of computational fluids engineering
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    • v.5 no.1
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    • pp.43-59
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    • 2000
  • Characteristic boundary conditions are discussed in conjunction with a flux-difference splitting formulation as modified from Roe's linearization. Details of how one can implement the characteristic boundary conditions which are made compatible with the interior point formulation are described for different types of boundaries including subsonic outflow and adiabatic wall. The validity of boundary conditions are demonstrated through computation of transonic airfoil, supersonic ogive-cylinder, hypersonic cylinder, and S-duct internal flows. The computed wall pressure distributions are compared with published experimental and computed data. Objectives of this paper are thus to give insight of formulation procedure of a flux-difference splitting method and to pave ways for other users to adopt present boundary procedure on their numerical methods.

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Numerical Analysis of Nonequilibrium Chemically Reacting Inviscid flow over Blunt-bodies Using Upwind Method (Upwind 방법을 이용한 무딘물체 주위의 화학적 비평형 비점성 유동장의 수치 해석)

  • Seo Jeong Il;Song Dong Joo
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.99-105
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    • 1997
  • A finite-difference method based on conservative supra characteristic method type upwind flux difference splitting has been developed to study the nonequilibrium chemically reacting inviscid flow. For nonequilibrium air, NS-1 species equations were strongly coupled with flowfield equations through convection and species production terms. Inviscid nonequilibrium chemically reacting air mixture flows over Blunt-body were solved to demonstrate the capability of the current method. At low altitude flight conditions the nonequilibrium air models predicted almost the same temperature, density and pressure behind the shock as equilibrium flow: however, at high altitudes they showed substantial differences due to nonequilibrium chemistry effect. The new nonequilibrium chemically reacting upwind flux difference splitting mettled can be extended to viscous flow and multi-dimensional flow conditions.

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Numerical Analysis of Flowfield over Various Blunt-bodies Using Upwind Navier-Stokes Method (Upwind Navier-Stokes 방법을 이용한 다양한 무딘물체 유동장의 수치 해석적 연구)

  • Seo Jeong-Il;Song Dong-Ju
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.78-83
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    • 1998
  • A finite-difference method based on conservative supra characteristic method(CSCM) type upwind flux difference splitting has been studied on the bluntness effect on the wall heat transfer rate and wall pressure over blunt-body. The results show that the stagnation heating varies inversely with the square root of the nose radius.

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A Numerical Study on Efficiency and Convergence for Various Implicit Approximate Factorization Algorithms in Compressible Flow Field. (다양한 근사인수분해 알고리즘을 이용하여 압축성 유동장의 수렴성 및 유용성에 대한 연구)

  • Gwon Chang-O;Song Dong-Ju
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.17-22
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    • 1999
  • Convergence characteristics and efficiency of three implicit approximate factorization schemes(ADI, DDADI and MAF) are examined using 2-Dimensional compressible upwind Navier-Stokes code. Second-order CSCM(Conservative Supra Characteristic Method) upwind flux difference splitting method with Fromm scheme is used for the right-hand side residual evaluation, while generally first-order upwind differencing is used for the implicit operator on the left-hand side. Convergence studies are performed using an example of the flow past a NACA0012 airfoil at steady transonic flow condition, i. e. Mach number 0.8 at $1.25^{\circ}$ angle of attack. The results were compared with other computational results in order to validate the current numerical analysis. The results from the implicit AF algorithms were compared well in low surface with the other computational results; however, not well in upper surface. It might be due to lack of the grid around the shock position. Because the algorithm minimizes the errors of the approximate decomposition, the improved convergence rate with MAF were observed.

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Turbulent flow fields analysis using CFDS scheme (CFDS기법을 이용한 난류 유동장 해석)

  • Moon S. M.;Lee J. S.;Kim C.;Rho O. H.;Hong S. K.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.51-59
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    • 2001
  • An evaluation of one zero-equation and two one-equation eddy viscosity-transport turbulence closure models as implemented CFDS(Characteristic Flux Difference Splitting ) code is presented herein. Comparisons of Baldwin-Lomax model as zero-equation and Baldwin-Barth and Spalart-Allmaras model as one-equation are presented for three test cases, first inlvolving the 3 dimensional supersonic flow at M=1.98 over tangent ogive cylinder, second involving the 2 dimensional transonic flow at M=0.79 over RAE 2822 airfoil, third involving the 3 dimensional transonic flow at M=0.84 over ONERA M6 wing. The numerical results of CFDS code will also examined through direct comparison with experimental data.

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A Numerical Analysis of Transonic Flows in an Axisymmetric Main Nozzle of Air-Jet Loom (에어제트직기 주 노즐내 천음속 유동의 수치 해석적 연구)

  • Oh T. H.;Kim S. D.;Song D. J.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.168-173
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    • 1998
  • A numerical analysis of axisymetric backward facing step main nozzle flow in air jet loom has been accomplished. To obtain basic design data for an optimum main nozzle for an air-jet loom and to predict the transonic/supersonic flow, a characteristic based upwind flux difference splitting compressible Navier-Stokes method has been used. The wall static pressure of the main nozzle and the flow velocity changes in the nozzle tube were analyzed by changing air tank pressures and acceleration tube lengths. The flow inside the nozzle experiences double choking one at the needle tip and the other at the acceleration tube exit at tank pressures over $4kg_f/cm^2$. The tank pressure $P_t$ leading to the critical condition depends on the acceleration tube length; i.e, $P_t$ is higher for longer acceleration tubes. The $P_t$ value required to bring the acceleration tube exit to the critical condition is nearly constant regardless of acceleration tube length. The round needle tip shape might lead to less total pressure loss when compared with step shape.

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