• Title/Summary/Keyword: Compressible

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Analytical Study on Compressible Plow through Abrupt Enlargement and Contraction (급축소/확대관을 지나는 압축성 유동의 해석적 연구)

  • 김희동;김태호;서태원
    • Journal of the Korean Society of Propulsion Engineers
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    • v.1 no.1
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    • pp.55-63
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    • 1997
  • The empirical factor and reaction force based on published data were involved to investigate compressible flows through sudden enlargement and sudden contraction passages. Analytical solutions of engineering interest were obtained from one-dimensional steady compressible gas dynamic equations. The effects of com- pressibility, cross-sectional area ratio, and inlet Mach number on the air flows were discussed with regards to the total pressure loss and flow choking. The present results provide available information necessary to design the compressible pipe flow systems.

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Analytical Study on Compressible Flour through Abrupt Enlargement and Contraction (급축소/확대관을 지나는 압축성 유동의 해석적 연구)

  • 김희동;김태호;서태원
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1997.04a
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    • pp.235-244
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    • 1997
  • The empirical factor and reaction force based on published data were involved to investigate compressible flows through sudden enlargement and sudden contraction passages. Analytical solutions of engineering interest were obtained from one-dimensional steady compressible gas dynamic equations. The effects of compressibility, cross-sectional area ratio, and inlet Mach number on the air flows were discussed with regards to the total pressure loss and flow choking. The present results provide available information necessary ta design the compressible pipe flow systems.

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Computation of Stratified Flows using Finite Difference Lattice Boltzmann Method

  • Kang, Ho-Keun;Kim, Won-Cheol
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.4
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    • pp.511-519
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    • 2003
  • A stratified flow is simulated using the finite difference lattice Boltzmann method (FDLBM). The effect of body force (gravity) in a simple one-dimensional model with the lattice BGK 9 velocity is examined. The effect of body force in the compressible fluid is greatly different from that of the incompressible fluid In a compressible fluid under gravitational force, the density stratification is not sufficient and the entropy stratification is essential. The numerical simulation of a line sink compressible stratified flow in two-dimensional channel is also carried out. The results show that selective withdrawal is established when the entropy of the upper part increases. and the simulated results using FDLB method are satisfactory compared with the theoretical one.

Numerical Simulation of Turbine Cascade Flowfields Using Two Dimensional Compressible Navier-Stokes Equations (2차원 압축성 Navier-Stokes 방정식에 의한 터빈 익렬유동장의 수치 시뮬레이션)

  • Chung, H.T.;Kim, J.S.;Sin, P.Y.;Choi, B.S.
    • Journal of Power System Engineering
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    • v.3 no.4
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    • pp.16-21
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    • 1999
  • Numerical simulation on two-dimensional turbine cascade flow has been performed using compressible Navier-Stokes equations. The flow equations are written in a cartesian coordinate system, then mapped into a generalized body-fitted ones. All direction of viscous terms are incoporated and turbulent effects are modeled using the extended ${\kappa}-{\epsilon}$ model. Equations are discretized using control volume SIMPLE algorithm on the nonstaggered grid sysetem. Applications are made at a VKI turbine cascade flow in atransonic wind-tunnel and compared to experimental data. Present numerical results are shown to be in good agreement with the experimental results and simulate the compressible viscous flow characteristics inside the turbine blade passage.

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SPATIAL DECAY BOUNDS OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS FOR TRANSIENT COMPRESSIBLE VISCOUS FLOW

  • Liu, Yan;Qiu, Hua;Lin, Changhao
    • Journal of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1153-1170
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    • 2011
  • In this paper, spatial decay estimates for the time dependent compressible viscous isentropic flow in a semi-infinite three dimensional pipe are derived. An upper bound for the total energy in terms of the initial boundary data is obtained as well. The results established in this paper may be viewed as a version of Saint-Venant's principle in transient compressible Navier-Stokes flow.

Numerical Calculations of Compressible Flows using a SIMPLE Algorithm (Simple 알고리즘을 이용한 압축성유동해석)

  • Ahn Hee-Sub;Sohn Chnng-Hyun;Moon Su-Yeon
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.184-190
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    • 2000
  • A well-known pressure correction method, a SIMPLE algorithm is extended to treat compressible flows. Collocated grids are used and density is linked to pressure via an equation of state. The influence of pressure on density in the case of compressible flows is implicitly incorporated into the extended SIMPLE algorithm. The first-order Upwind and high-order Quick scheme are compared with respect to an accuracy and convergence time at all speeds. The extended method is verified on a number of test cases and the results we compared with other numerical results available in the literature. The calculated results show that the Quick scheme improves accuracy at all speed and also reduces the calculation time at supersonic flows, compared with the Upwind scheme.

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DEVELOPMENT OF A HIGH-ORDER IMPLICIT DISCONTINUOUS GALERKIN METHOD FOR SOLVING COMPRESSIBLE NAVIER-STOKES EQUATIONS (압축성 Navier-Stokes 방정식 해를 위한 고차 정확도 내재적 불연속 갤러킨 기법의 개발)

  • Choi, J.H.;Lee, H.D.;Kwon, O.J.
    • Journal of computational fluids engineering
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    • v.16 no.4
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    • pp.72-83
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    • 2011
  • A high-order discontinuous Galerkin method for the two-dimensional compressible Navier-Stokes equations was developed on unstructured triangular meshes. For this purpose, the BR2 methd(the second Bassi and Rebay discretization) was adopted for space discretization and an implicit Euler backward method was used for time integration. Numerical tests were conducted to estimate the convergence order of the numerical solutions of the Poiseuille flow for which analytic solutions are available for comparison. Also, the flows around a flat plate, a 2-D circular cylinder, and an NACA0012 airfoil were numerically simulated. The numerical results showed that the present implicit discontinuous Galerkin method is an efficient method to obtain very accurate numerical solutions of the compressible Navier-Stokes equations on unstructured meshes.

Direct numerical simulation of passive scalar in decaying compressible turbulence

  • Li Xinliang;Fu Dexun;Ma Yanwen
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.39-41
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    • 2003
  • n this paper, direct numerical simulation of decaying compressible turbulence with passive scalar is performed by using 7th order upwind difference scheme or 8th order group velocity control scheme. The start Reynolds number (defined by Taylor scale) is 72 and turbulent Mach numbers are 0.2-0.9. The Schmidt numbers of passive scalar are 2-10. The Batchelor k-1 range are found in scalar spectra, and the high wavenumber spectra decays faster with increasing turbulent Mach number. The extend self-similarity (ESS) is found in the passive scalar in compressible turbulence.

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STABILITY ANALYSIS OF COMPRESSIBLE BOUNDARY LAYER IN CURVILINEAR COORDINATE SYSTEM USING NONLINEAR PSE (비선형 PSE를 이용한 압축성 경계층의 안정성 해석)

  • Gao, B.;Park, S.O.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.134-140
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    • 2007
  • Nonlinear parabolized stability equations for compressible flow in general curvilinear coordinate system are derived to deal with a broad range of transition prediction problems on complex geometry. A highly accurate finite difference PSE code has been developed using an implicit marching procedure. Blasius flow is tested. The results of the present computation show good agreement with DNS data. Nonlinear interaction can make the T-S fundamental wave more unstable and the onset of its amplitude decay is shifted downstream relative to linear case. For nonlinear calculations, rather small difference in initial amplitude can produce large change during nonlinear region. Compressible secondary instability at Mach number 1.6 is also simulated and showed that 1.1% initial amplitude for primary mode is enough to trigger the secondary growth.

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Numerical Calculations of Compressible Flows using a SIMPLE Algorithm (SIMPLE 알고리즘을 이용한 압축성유동해석)

  • Ahn Hee-Sub;Sohn Chang-Hyun;Moon Su-Yeon
    • Journal of computational fluids engineering
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    • v.5 no.2
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    • pp.1-8
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    • 2000
  • A well-known pressure correction method, a SIMPLE algorithm, is extended to treat compressible flows. Collocated grids are used and density is linked to pressure via an equation of state. The influence of pressure on density in the case of compressible flows is implicitly incorporated into the extended SIMPLE algorithm. The first-order Upwind and high-order Quick scheme are compared with respect to an accuracy and convergence time at all speeds. The extended method is verified on a number of test cases and the results are compared with other numerical results available in the literature. The calculated results show that the Quick scheme improves accuracy at all speed and also reduces the calculation time at supersonic flows, compared with the Upwind scheme.

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