Variations on a [formula omitted]– [formula omitted] turbulence model for supersonic boundary layer computations

• Published in: European journal of mechanics, B, Fluids B, Fluids, 1999-07, Vol.18 (4), p.713-738
• Main Authors: Guézengar, D., Francescatto, J., Guillard, H., Dussauge, J.-P.
• Format: Article
• Language: English
• ISSN: 0997-7546; 1873-7390
• DOI: 10.1016/S0997-7546(99)00111-9

Several modifications of the baseline k– ε model are considered for the computation of supersonic boundary layers on an adiabatic flat plate, up to Mach number 5. The numerical computations are performed with particular reference to well documented experiments. Three versions of a two-equation low-Reynolds number model and a two-layer model are used. They were originally defined for incompressible flows and have to be extended to compressible cases. Slight alterations of the original formulation are necessary to obtain good numerical performances. The use of compressibility models is also investigated, as well as a possible simple modification of the dissipation rate equation to take into account the turbulence balance in the logarithmic region. The numerical results are in good agreement with the experimental data. Some numerical issues are addressed and the importance of suitable boundary conditions is pointed out.