High-order projection-based upwind method for simulation of transitional turbulent flows

TL;DR

This paper introduces a scalable, high-order implicit large-eddy simulation approach for transitional turbulent flows, utilizing a mass-conserving discretization and operator-splitting to improve efficiency and accuracy in aerodynamic flow modeling.

Contribution

The paper develops a high-order ILES method with low dissipation, combining MCS discretization and operator-splitting, optimized for parallel computation of transitional turbulent flows.

Findings

Effective simulation of flows over Eppler 387 airfoil at high Reynolds numbers

High-order upwind fluxes improve approximation of transitional flows

Method demonstrates scalability and efficiency in turbulent flow simulations

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 Eppler 387 airfoil at Reynolds numbers up to $3 \cdot 10^5$ as benchmarks for our simulations.