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Journal Articles Finite Elements in Analysis and Design Year : 2023

Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows

Abstract

In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL-ROM introduces AD as a new means to increase the accuracy of the classical Leray ROM (L-ROM) without degrading its numerical stability. We also introduce two new AD ROM strategies: the Tikhonov and van Cittert methods. Our numerical investigation for convection-dominated systems shows that, when the filter radius is relatively large, the new ADL-ROM is more accurate than the standard L-ROM. Furthermore, the new ADL-ROM is less sensitive with respect to model parameters than L-ROM.

Dates and versions

hal-04169360 , version 1 (24-07-2023)

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Cite

Anna Sanfilippo, Ian Moore, Francesco Ballarin, Traian Iliescu. Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows. Finite Elements in Analysis and Design, 2023, 226, pp.104021. ⟨10.1016/j.finel.2023.104021⟩. ⟨hal-04169360⟩
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