4 papers · 1 filter
Extreme flows: where physics meets mathematically rigorous bounds
Bartosz Protas
Extreme flows realize the largest possible growth, either instantaneously or in finite time, of certain quantities of interest which is achieved by a suitable choice of the initial…
Fully Turbulent Wakes at Low Reynolds Numbers: the Case of the Thin Flat Plate
Isaac T. Rosin, Melanie S. Chapman, Bartosz Protas +1
We consider the wake flow past a thin two-dimensional flat plate normal to the uniform stream and demonstrate that this flow is turbulent already at a relatively low Reynolds numbe…
Unraveling Self-Similar Energy Transfer Dynamics: a Case Study for 1D Burgers System
Pritpal Matharu, Bartosz Protas, Tsuyoshi Yoneda
In this work we consider the problem of constructing initial conditions for a flow model such that the resulting flow evolution leads to a self-similar energy cascade consistent wi…
On the inviscid instability of the 2D Taylor-Green vortex
Xinyu Zhao, Bartosz Protas, Roman Shvydkoy
We consider Euler flows on two-dimensional (2D) periodic domain and are interested in the stability, both linear and nonlinear, of a simple equilibrium given by the 2D Taylor-Green…