Abstract
There is widespread theoretical and numerical evidence that Large-Eddy Simulation (LES) of turbulent flows has to be performed using high-order accurate numerical schemes. Much of the research has so far focused on the spatial discretization, coming to the conclusion that: (1) higher-order methods (\({\ge }2\)) are preferred, to ensure that the magnitude of the truncation error does not overwhelm the subgrid-scale model contribution, and (2) non-dissipative (centered) schemes should be employed, so that the energy cascade mechanism is not artificially contaminated (Capuano et al, J Comput Phys 295:209–229, 2015), [2], (Capuano et al, Progress in turbulence VI. Springer, Berlin, 2016), [3].
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References
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Capuano, F., De Angelis, E.M., Coppola, G., de Luca, L. (2019). An Analysis of Time-Integration Errors in Large-Eddy Simulation of Incompressible Turbulent 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_5
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