1 citations · 1 across the 5 of their papers we have counts for
5 papers
Data-Driven Transient Growth Analysis
Zhicheng Kai, Peter Frame, Aaron Towne
The transient growth of disturbances made possible by the non-normality of the linearized Navier-Stokes equations plays an important role in bypass transition for many shear flows.…
Nonlinear space-time model reduction in the frequency domain
Peter Frame, Aaron Towne
We propose a space-time reduced-order model (ROM) for nonlinear dynamical systems, building upon previous work on linear systems. Whereas most ROMs are space-only in that they redu…
Linear model reduction using spectral proper orthogonal decomposition
Peter Frame, Cong Lin, Oliver Schmidt +1
Most model reduction methods reduce the state dimension and then temporally evolve a set of coefficients that encode the state in the reduced representation. In this paper, we inst…
Beyond optimal disturbances: a statistical framework for transient growth
Peter Frame, Aaron Towne
The theory of transient growth describes how linear mechanisms can cause temporary amplification of disturbances even when the linearized system is asymptotically stable as defined…
Space-time POD and the Hankel matrix
Peter Frame, Aaron Towne
Time-delay embedding is an increasingly popular starting point for data-driven reduced-order modeling efforts. In particular, the singular value decomposition (SVD) of a block Hank…