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Reduced-order Galerkin models of plane Couette flow

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Autor(es):
Cavalieri, Andre V. G. ; Nogueira, Petronio A. S.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW FLUIDS; v. 7, n. 10, p. 10-pg., 2022-10-21.
Resumo

Reduced-order models were derived for plane Couette flow using Galerkin projection, with orthonormal basis functions taken as the leading controllability modes of the linearized Navier-Stokes system for a few low wave numbers. Resulting Galerkin systems comprise ordinary differential equations, with a number of degrees of freedom ranging from 144 to 600, which may be integrated to large times without any indication of numerical instability. The reduced-order models so obtained are also found to match statistics of direct numerical simulations at Reynolds number 500 and 1200 with reasonable accuracy, despite a truncation of orders of magnitude in the degrees of freedom of the system. The present models offer thus an interesting compromise between simplicity and accuracy in a canonical wall-bounded flow, with relatively few modes representing coherent structures in the flow and their dominant dynamics. (AU)

Processo FAPESP: 19/27655-3 - Modelagem de ordem reduzida para controle em aerodinâmica e aeroacústica
Beneficiário:André Valdetaro Gomes Cavalieri
Modalidade de apoio: Auxílio à Pesquisa - Regular