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

Philip L. Lederer; Xaver Mooslechner; Joachim Schöberl

doi:10.48550/arXiv.2408.06698

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

Philip L. Lederer, Xaver Mooslechner, Joachim Schöberl

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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.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2408.06698
Publication status	Published - 13 Aug 2024

Keywords

cs.CE

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10.48550/arXiv.2408.06698Licence: CC BY

PreprintFinal published version, 1.04 MBLicence: CC BY

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title = "High-order projection-based upwind method for simulation of transitional turbulent flows",

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. ",

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AU - Lederer, Philip L.

AU - Mooslechner, Xaver

AU - Schöberl, Joachim

PY - 2024/8/13

Y1 - 2024/8/13

N2 - 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.

AB - 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.

KW - cs.CE

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M3 - Preprint

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

PB - ArXiv.org

ER -

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

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