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arXiv · 1707.04133

Spatial Filtering for Reduced Order Modeling

L. C. Berselli·D. Wells·X. Xie·T. Iliescu
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Abstract

Spatial filtering has been central in the development of large eddy simulation reduced order models (LES-ROMs) and regularized reduced order models (Reg-ROMs), In this paper, we perform a numerical investigation of spatial filtering. To this end, we consider one of the simplest Reg-ROMs, the Leray ROM (L-ROM), which uses ROM spatial filtering to smooth the flow variables and decreases the amount of energy aliased to the lower index ROM basis functions. We also propose a new form of ROM differential filter and use it as a spatial filter for the L-ROM. We investigate the performance of this new form of ROM differential filter in the numerical simulation of a flow past a circular cylinder at a Reynolds number $Re=760$.

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L. C. Berselli, D. Wells, X. Xie, T. Iliescu. 2017-07-13. Spatial Filtering for Reduced Order Modeling. https://arxiv.org/abs/1707.04133

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