Multiscale model reduction for incompressible flows
Jared L. Callaham,
Jean-Christophe Loiseau,
Steven L. Brunton
Abstract:We introduce a projection-based model reduction method that systematically accounts for nonlinear interactions between the resolved and unresolved scales of the flow in a low-dimensional dynamical systems model. The proposed method uses a separation of time scales between the resolved and subscale variables to derive a reduced-order model with cubic closure terms for the truncated modes, generalizing the classic Stuart–Landau equation. The leading-order cubic terms are determined by averaging out fast variable… Show more
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