High-resolution upwind viscous flow solver on SOCBT configuration with turbulence models

Abstract A computationally efficient method is presented for solving the three-dimensional governing equations of the viscous compressible flows about a secant-ogive-cylinder-boattail (SOCBT) configuration. The steady full Navier-Stokes equations in mass-averaged variables were integrated numerically using the explicit multi-stage high-resolution upwind flux-difference split scheme with three different turbulence models (Baldwin-Lomax algebraic model, Mitcheltree one-equation model and Launder-Sharma k-e two-equation model) to closure the system equations. Test cases for subsonic and supersonic flow over a SOCBT at angles of attack of 0°, 10° are calculated. Good agreement is obtained between the present computed results and experimental measurement of surface pressure.

[1]  L D Kayser,et al.  Surface Pressure Measurements on a Boattailed Projectile Shape at Transonic Speeds , 1982 .

[2]  Tuncer Cebeci,et al.  Calculation of compressible turbulent boundary layers with heat and mass transfer , 1970 .

[3]  B. V. Leer,et al.  Experiments with implicit upwind methods for the Euler equations , 1985 .

[4]  C. Hung,et al.  Numerical Solution of Supersonic Laminar Flow Over an Inclined Body of Revolution , 1979 .

[5]  Bram van Leer,et al.  Design of Optimally Smoothing Multi-Stage Schemes for the Euler Equations , 1989 .

[6]  Jubaraj Sahu,et al.  Navier-Stokes computations of projectile base flow with and without mass injection , 1983 .

[7]  G. Gerolymos.  Implicit multiple-grid solution of the compressible Navier-Stokes equations using k-epsilon turbulence closure , 1990 .

[8]  Thomas H. Pulliam,et al.  Numerical Solution of the Azimuthal-Invariant Thin-Layer Navier-Stokes Equations , 1980 .

[9]  J. Fromm.  A method for reducing dispersion in convective difference schemes , 1968 .

[10]  M. D. Salas,et al.  One-equation turbulence model for transonic airfoil flows , 1989 .

[11]  R. Simpson.  Two-dimensional turbulent separated flow , 1987 .

[12]  B. Launder,et al.  Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc , 1974 .

[13]  Bram van Leer,et al.  Upwind-difference methods for aerodynamic problems governed by the Euler equations , 1985 .

[14]  Philip L. Roe,et al.  A comparison of numerical flux formulas for the Euler and Navier-Stokes equations , 1987 .

[15]  G. D. van Albada,et al.  A comparative study of computational methods in cosmic gas dynamics , 1982 .