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.

Sanfilippo, A., Moore, I., Ballarin, F., Iliescu, T., Approximate deconvolution Leray reduced order model for convection-dominated flows, <<FINITE ELEMENTS IN ANALYSIS AND DESIGN>>, 2023; 226 (N/A): 104021-N/A. [doi:10.1016/j.finel.2023.104021] [https://hdl.handle.net/10807/247194]

Approximate deconvolution Leray reduced order model for convection-dominated flows

Ballarin, Francesco
;
2023

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.
2023
Inglese
Sanfilippo, A., Moore, I., Ballarin, F., Iliescu, T., Approximate deconvolution Leray reduced order model for convection-dominated flows, <<FINITE ELEMENTS IN ANALYSIS AND DESIGN>>, 2023; 226 (N/A): 104021-N/A. [doi:10.1016/j.finel.2023.104021] [https://hdl.handle.net/10807/247194]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/247194
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