Hybrid RANS/LES modeling of heat transport in hypersonic turbulent flow

In this talk, we will introduce a hybrid RANS/LES model for heat transport in hypersonic turbulent boundary layers with cold walls. The hybrid model is based on defining a turbulent thermal length scale. This permits employing the $ell^2-omega$ model as a single model throughout the computational domain to compute the turbulent stress and heat flux terms and analogous dynamic treatment for the SGS components of these terms. We will also introduce a modified shielding function that significantly decreases the sensitivity of the hybrid model to the grid resolutions and compressibility effects. It will be demonstrated that the proposed model is in good agreement with Reynolds-Averaged Navier Stokes models and a Direct Numerical Simulation database for zero-pressure-gradient hypersonic turbulent flow over a flat plate with freestream Mach numbers ranging from 2.5 and 14 and wall-to-recovery temperature ratio ranging from 0.18 and 1.