Stability-Based Transition Model Using Transport Equations
Lucas Pascal, Grégory Delattre, Hugues Deniau, Julien Cliquet
Abstract
A laminar–turbulent transition model is presented. The model accounts for longitudinal transition mechanisms (i.e., Tollmien–Schlichting-induced transition) and was calibrated using stability computations on similar boundary-layer profiles at Mach number ranging from zero to four on both adiabatic and isothermal walls. The model embeds the so-called C1 criterion for transverse transition mechanisms (i.e., crossflow-wave-induced transition). Finally, the model accounts for separation-induced transition by means of the Gleyzes criterion. The transition model is written under a transport equation formalism. Validations are performed on three-dimensional configurations, and comparisons against results from a transition database method for natural transition, exact linear stability computations, and experimental data are shown.