| Full text | |
| Author(s): |
Cavalieri, Andre V. G.
;
Nogueira, Petronio A. S.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW FLUIDS; v. 7, n. 10, p. 10-pg., 2022-10-21. |
| Abstract | |
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) | |
| FAPESP's process: | 19/27655-3 - Control-oriented reduced-order modelling for aerodynamics and aeroacoustics |
| Grantee: | André Valdetaro Gomes Cavalieri |
| Support Opportunities: | Regular Research Grants |