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Continuous-time balanced truncation for time-periodic fluid flows using frequential Gramians
Alberto Padovan, Clarence W. Rowley
Reduced-order models for flows that exhibit time-periodic behavior are critical for several tasks, including active control and optimization. One well-known procedure to obtain the…
A computationally efficient approach for the removal of the phase shift singularity in harmonic resolvent analysis
Alberto Padovan, Clarence W. Rowley
The recently introduced harmonic resolvent framework is concerned with the study of the input-output dynamics of nonlinear flows in the proximity of a known time-periodic orbit. Th…
Analysis of amplification mechanisms and cross-frequency interactions in nonlinear flows via the harmonic resolvent
Alberto Padovan, Samuel E. Otto, Clarence W. Rowley
We propose a framework that elucidates the input-output characteristics of flows with complex dynamics arising from nonlinear interactions between different time scales. More speci…
Distributed flexibility in inertial swimmers
Daniel Floryan, Clarence W. Rowley
We study a linear inviscid model of a passively flexible swimmer with distributed flexibility, calculating its propulsive performance and optimal distributions of flexibility. The…
Connections between resonance and nonlinearity in swimming performance of a flexible heaving plate
Andres Goza, Daniel Floryan, Clancy Rowley
We investigate the role of resonance in finite-amplitude swimming of a flexible flat plate in a viscous fluid. The role of resonance in performance remains unclear for two reasons:…
Clarifying the relationship between efficiency and resonance for flexible inertial swimmers
Daniel Floryan, Clarence W. Rowley
We study a linear inviscid model of a passively flexible swimmer, calculating its propulsive performance, eigenvalues, and eigenfunctions with an eye towards clarifying the relatio…