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

Robert F. Kunz, Budugur Lakshminarayana

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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
Issue number1
StatePublished - Jan 1992

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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