237 citations · 1.5k across the 36 of their papers we have counts for
38 papers
Identifying invariant solutions of wall-bounded three-dimensional shear flows using robust adjoint-based variational techniques
Omid Ashtari, Tobias M. Schneider
Invariant solutions of the Navier-Stokes equations play an important role in the spatiotemporally chaotic dynamics of turbulent shear flows. Despite the significance of these solut…
Jacobian-Free Variational Method for Constructing Connecting Orbits in Nonlinear Dynamical Systems
Omid Ashtari, Tobias M. Schneider
In a dynamical systems description of spatiotemporally chaotic PDEs including those describing turbulence, chaos is viewed as a trajectory evolving within a network of non-chaotic,…
Predicting chaotic statistics with unstable invariant tori
Jeremy P. Parker, Omid Ashtari, Tobias M. Schneider
It has recently been speculated that statistical properties of chaos may be captured by weighted sums over unstable invariant tori embedded in the chaotic attractor of hyperchaotic…
Invariant tori in dissipative hyperchaos
Jeremy P Parker, Tobias M Schneider
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's c…
Nondestructive Prediction of the Buckling Load of Imperfect Shells
Anais Abramian, Emmanuel Virot, Emilio Lozano +2
From soda cans to space rockets, thin-walled cylindrical shells are abundant, offering exceptional load carrying capacity at relatively low weight. However, the actual load at whic…
Interaction and breakup of droplet pairs in a microchannel Y-junction
Simon Schütz, Jian Wei Khor, Sindy K. Y. Tang +1
We combine theory, numerical simulation and experiments to investigate the breakup of two identical droplets entering a Y-junction with controlled spatial offset by which the secon…