Discontinuous galerkin solution of the reynolds-averaged navier-stokes and KL-KT-ω transition model equations

Transition modelling represents a key ingredient to improve the performances of modern turbomachinery, affecting losses and the heat-transfer phenomenon. In this paper the transition model proposed by Walters [3] was considered. It is based on the k-ω formulation with the addition of a third transport equation (kL equation), which allows predicting the magnitude of low-frequency velocity fluctuations in the pre-transitional boundary layer. The model was implemented into a parallel high-order accurate Discontinuous Galerkin code, named MI-GALE, which allows to solve the Reynolds averaged Navier-Stokes (RANS) equations coupled with the k-ω (ω = log(ω)) turbulence model. The model was applied to two test cases, namely the flat plate (T3A and T3B configuration) and the T106A turbine cascade. Results obtained with and without transition model were compared with experimental data.