High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows

Abstract

ABSTRACT We present a scalable, high‐order implicit large‐eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass‐conserving mixed stress (MCS) method for discretizing the Navier‐Stokes equations. The MCS method's low dissipation characteristics, combined with the introduced operator‐splitting solution technique, result in a high‐order solver optimized for efficient and parallel computation of under‐resolved turbulent flows. We further enhance the inherent capabilities of the ILES model by incorporating high‐order upwind fluxes and are examining its approximation behaviour in transitional aerodynamic flow problems. In this study, we use flows over the circular cylinder and the Eppler 387 airfoil at Reynolds numbers up to as benchmarks for our simulations.