479 citations · 691 across the 11 of their papers we have counts for
4 papers · 1 filter
Spectral analysis of mixing in 2D high-Reynolds flows
Hassan Arbabi, Igor Mezic
We use spectral analysis of Eulerian and Lagrangian dynamics to study the advective mixing in an incompressible 2D bounded cavity flow. A significant property of such a rotational…
Prandtl-Batchelor theorem for flows with quasi-periodic time dependence
Hassan Arbabi, Igor Mezić
The classical Prandtl-Batchelor theorem (Prandtl 1904; Batchelor 1956) states that in the regions of steady 2D flow where viscous forces are small and streamlines are closed, the v…
A data-driven Koopman model predictive control framework for nonlinear flows
Hassan Arbabi, Milan Korda, Igor Mezic
The Koopman operator theory is an increasingly popular formalism of dynamical systems theory which enables analysis and prediction of the nonlinear dynamics from measurement data.…
Study of dynamics in post-transient flows using Koopman mode decomposition
Hassan Arbabi, Igor Mezić
The Koopman Mode Decomposition (KMD) is a data-analysis technique which is often used to extract the spatio-temporal patterns of complex flows. In this paper, we use KMD to study t…