27 citations · 28 across the 5 of their papers we have counts for
9 papers · 1 filter
Alignments of Triad Phases in 1D Burgers and 3D Navier-Stokes Flows
Di Kang, Bartosz Protas, Miguel D. Bustamante
The goal of this study is to analyze the fine structure of nonlinear modal interactions in different 1D Burgers and 3D Navier-Stokes flows. This analysis is focused on preferential…
Maximum Amplification of Enstrophy in 3D Navier-Stokes Flows
Di Kang, Dongfang Yun, Bartosz Protas
This investigation concerns a systematic search for potentially singular behavior in 3D Navier-Stokes flows. Enstrophy serves as a convenient indicator of the regularity of solutio…
Stability of Confined Vortex Sheets
Bartosz Protas
We propose a simple model for the evolution of an inviscid vortex sheet in a potential flow in a channel with parallel walls. This model is obtained by augmenting the Birkhoff-Rott…
Rotating Equilibria of Vortex Sheets
Bartosz Protas, Takashi Sakajo
We consider relative equilibrium solutions of the two-dimensional Euler equations in which the vorticity is concentrated on a union of finite-length vortex sheets. Using methods of…
Optimal Closures in a Simple Model for Turbulent Flows
Pritpal Matharu, Bartosz Protas
In this work we introduce a computational framework for determining optimal closures of the eddy-viscosity type for Large-Eddy Simulations (LES) of a broad class of PDE models, suc…
Linear Stability of Inviscid Vortex Rings to Axisymmetric Perturbations
Bartosz Protas
We consider the linear stability to axisymmetric perturbations of the family of inviscid vortex rings discovered by Norbury (1973). Since these vortex rings are obtained as solutio…