A sparse optimal closure for a reduced-order model of wall-bounded turbulence
نویسندگان
چکیده
In the present study, a set of physics-informed and data-driven approaches are examined towards development an accurate reduced-order model for turbulent plane Couette flow. Based on utilisation proper orthogonal decomposition (POD), particular focus is given to where number POD modes not large enough cover full dynamics state, situation directly relevant modelling flows. Starting from conventional Galerkin projection approach ignoring truncation error, three enhanced by both physics data examined: (1) sparse regression POD-Galerkin dynamics; (2) with empirical eddy-viscosity model; (3) optimal eddy viscosity obtained newly proposed – idea applying identification nonlinear framework model. The does perform well, as chaotic appears be too small. While unsatisfactory performance observed, approach, which combines concept closure regression, more accurately approximates than other models considered. This demonstrated mean time scales mode amplitudes well first- second-order turbulence statistics.
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2022
ISSN: ['0022-1120', '1469-7645']
DOI: https://doi.org/10.1017/jfm.2022.161