Explicit navier-stokes computation of cascade flows using the k-ϵ turbulence model

Robert Francis Kunz, Budugur Lakshminarayana

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

A fully explicit two-dimensional flow solver, based on a four-stage Runge-Kutta scheme, has been developed and used to predict two-dimensional viscous flow through turbomachinery cascades for which experimental data are available. The formulation is applied to the density-weighted time-averaged Navier-Stokes equations. Several features of the technique improve the ability of the code to predict high Reynolds number flows on highly stretched grids. These include a low Reynolds number compressible form of the A-e turbulence model, anisotropic scaling of artificial dissipation terms, and locally varying timestep evaluation based on hyperbolic and parabolic stability considerations. Comparisons between computation and experiment are presented for both a supersonic and a low-subsonic compressor cascade. These results indicate that the code is capable of predicting steady two-dimensional viscous cascade flows over a wide range of Mach numbers in reasonable computation times.

Original languageEnglish (US)
Pages (from-to)13-22
Number of pages10
JournalAIAA journal
Volume30
Issue number1
DOIs
StatePublished - Jan 1 1992

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Turbulence models
Cascades (fluid mechanics)
Reynolds number
Viscous flow
Navier Stokes equations
Mach number
Compressors
Experiments

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

Cite this

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abstract = "A fully explicit two-dimensional flow solver, based on a four-stage Runge-Kutta scheme, has been developed and used to predict two-dimensional viscous flow through turbomachinery cascades for which experimental data are available. The formulation is applied to the density-weighted time-averaged Navier-Stokes equations. Several features of the technique improve the ability of the code to predict high Reynolds number flows on highly stretched grids. These include a low Reynolds number compressible form of the A-e turbulence model, anisotropic scaling of artificial dissipation terms, and locally varying timestep evaluation based on hyperbolic and parabolic stability considerations. Comparisons between computation and experiment are presented for both a supersonic and a low-subsonic compressor cascade. These results indicate that the code is capable of predicting steady two-dimensional viscous cascade flows over a wide range of Mach numbers in reasonable computation times.",
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Explicit navier-stokes computation of cascade flows using the k-ϵ turbulence model. / Kunz, Robert Francis; Lakshminarayana, Budugur.

In: AIAA journal, Vol. 30, No. 1, 01.01.1992, p. 13-22.

Research output: Contribution to journalArticle

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