4 papers
A model for the dimension of the inertial manifold of the Kuramoto-Sivashinsky equation
Melisa Y. Vinograd, Patricio Clark di Leoni
We propose a model, based on a spectral energy balance argument, that provides an estimate of the dimension of the inertial manifold of the one-dimensional Kuramoto-Sivashinsky equ…
Characterizing periodic orbits in two-dimensional Rayleigh-Bénard flows
Joaquín Cullen, Melisa Y. Vinograd, Patricio Clark di Leoni
Unstable periodic orbits and steady states are believed to form the backbone of spatiotemporal chaos and turbulence, yet their computation in thermally driven flows remains scarce…
Dimensional regimes in Kolmogorov Flow
Melisa Y. Vinograd, Joaquin Cullen, Patricio Clark di Leoni
We study the dimensionality of two-dimensional Kolmogorov flows over a wide range of Reynolds numbers and forcing wavenumbers using two complementary approaches: co…
Reduced Representations of Rayleigh-Bénard Flows via Autoencoders
Melisa Y. Vinograd, Patricio Clark di Leoni
We analyzed the performance of Convolutional Autoencoders in generating reduced-order representations the temperature field of 2D Rayleigh-Bénard flows at and Rayleigh numbe…