170 citations · 191 across the 9 of their papers we have counts for
7 papers · 1 filter
Objective barriers to the transport of dynamically active vector fields
George Haller, Stergios Katsanoulis, Markus Holzner +2
We derive a theory for material surfaces that maximally inhibit the diffusive transport of a dynamically active vector field, such as the linear momentum, the angular momentum or t…
Vortex boundaries as barriers to diffusive vorticity transport in two-dimensional flows
Stergios Katsanoulis, Mohammad Farazmand, Mattia Serra +1
We put forward the idea of defining vortex boundaries in planar flows as closed material barriers to the diffusive transport of vorticity. Such diffusive vortex boundaries minimize…
Explicit Unsteady Navier-Stokes Solutions and their Analysis via Local Vortex Criteria
Tiemo Pedergnana, David Oettinger, Gabriel Provencher-Langlois +1
We construct a class of spatially polynomial velocity fields that are exact solutions of the planar unsteady Navier-Stokes equation. These solutions can be used as simple benchmark…
Analytic Reconstruction of a Two-Dimensional Velocity Field from an Observed Diffusive Scalar
Arjun Sharma, Irina I. Rypina, Ruth Musgrave +1
Inverting an evolving diffusive scalar field to reconstruct the underlying velocity field is an underdetermined problem. Here we show, however, that for two-dimensional incompressi…
Material spike formation in high Reynolds number flow separation
Mattia Serra, Sean Crouzat, Gael Simon +2
We apply the recent frame-invariant theory of separation spike formation to complex unsteady flows including a turbulent separation bubble, an impinging jet, and flows around a fre…
Barriers to the Transport of Diffusive Scalars in Compressible Flows
George Haller, Daniel Karrasch, Florian Kogelbauer
Our recent work identifies material surfaces in incompressible flows that extremize the transport of an arbitrary, weakly diffusive scalar field relative to neighboring surfaces. S…