English

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

Computational Engineering, Finance, and Science 2024-08-14 v1

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 31053 \cdot 10^5 as benchmarks for our simulations.

Keywords

Cite

@article{arxiv.2408.06698,
  title  = {High-order projection-based upwind method for simulation of transitional turbulent flows},
  author = {Philip L. Lederer and Xaver Mooslechner and Joachim Schöberl},
  journal= {arXiv preprint arXiv:2408.06698},
  year   = {2024}
}
R2 v1 2026-06-28T18:11:24.979Z