High-order implementation of a non-local transition model in a DG solver for turbomachinery applications

Transition modelling represents a key ingredient for improving the performances of modern turboma- chinery, affecting losses and the heat-transfer phenomenon. Different methods have been proposed in the finite volume context to predict the laminar-turbulent transition, but, according to the literature, not yet for high-order methods. In this paper the transition model proposed by Kožulovic ́ and Lapworth [1] was considered, which is integral, non-local and based upon experimental correlations, takes into account all the relevant modes of transition, and is well suited for turbomachinery applications. The model was implemented into a parallel high-order accurate Discontinuous Galerkin code, named MIGALE, which al- lows to solve the Reynolds averaged Navier–Stokes (RANS) equations coupled with the k-ω (ω = log(ω)) turbulence model. The objective of this work is to show the capability of high-order DG methods in accu- rately computing complex transitional flows on coarse and low quality grids. The transitional flow around a flat plate (T3A and T3B configurations) and through the T106A turbine cascade has been computed up to fifth order and compared with available numerical and experimental data.