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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:…
A Discrete Empirical Interpolation Method for Interpretable Immersion and Embedding of Nonlinear Manifolds
Samuel E. Otto, Clarence W. Rowley
Manifold learning techniques seek to discover structure-preserving mappings of high-dimensional data into low-dimensional spaces. While the new sets of coordinates specified by the…