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Assessment of High-Order Discontinuous Galerkin Methods for LES of Transonic Flows

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Book cover Direct and Large-Eddy Simulation XI

Part of the book series: ERCOFTAC Series ((ERCO,volume 25))

Abstract

This paper concerns implicit large eddy simulation (ILES) of turbulent flows of industrial interest using high order discontinuous Galerkin method (DGM). DGM has a high potential for industrial applications using ILES. As dissipation is only active on very small scale features, the method mimics a subgrid scale model, while its high accuracy ensures that large scale dynamics are not contaminated by dispersive/dissipative errors. Previously DGM/ILES has been assessed on many low Mach number canonical test cases (e.g. Carton et al. Numer Methods Fluids, 78:335–354, (2015), [3]). This paper recapitulates recent validation on transonic benchmarks (Hillewaert et al. Proceedings of CTR summer program, pp. 363–372, Stanford University, (2016), [6]) and proceeds to the application on the LS89 cascade, a well-known turbomachinery benchmark.

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Acknowledgements

The present research benefited from computational resources made available on the Tier-1 supercomputer of the Fédération Wallonie-Bruxelles, infrastructure funded by the Walloon Region under the grant agreement n\(^{\circ }\)1117545.

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Correspondence to Z. Zeren .

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Cagnone, J.S., Zeren, Z., Châtel, A., Rasquin, M., Hillewaert, K., Bricteux, L. (2019). Assessment of High-Order Discontinuous Galerkin Methods for LES of Transonic Flows. In: Salvetti, M., Armenio, V., Fröhlich, J., Geurts, B., Kuerten, H. (eds) Direct and Large-Eddy Simulation XI. ERCOFTAC Series, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-04915-7_12

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  • DOI: https://doi.org/10.1007/978-3-030-04915-7_12

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  • Online ISBN: 978-3-030-04915-7

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