89 citations · 281 across the 7 of their papers we have counts for
7 papers
Topological optimisation of rod-stirring devices
Matthew D. Finn, Jean-Luc Thiffeault
There are many industrial situations where rods are used to stir a fluid, or where rods repeatedly stretch a material such as bread dough or taffy. The goal in these applications i…
Topology of Chaotic Mixing Patterns
Jean-Luc Thiffeault, Matthew D. Finn, Emmanuelle Gouillart +1
A stirring device consisting of a periodic motion of rods induces a mapping of the fluid domain to itself, which can be regarded as a homeomorphism of a punctured surface. Having t…
Topological Entropy of Braids on the Torus
Matthew D. Finn, Jean-Luc Thiffeault
A fast method is presented for computing the topological entropy of braids on the torus. This work is motivated by the need to analyze large braids when studying two-dimensional fl…
Topology, Braids, and Mixing in Fluids
Jean-Luc Thiffeault, Matthew D. Finn
Stirring of fluid with moving rods is necessary in many practical applications to achieve homogeneity. These rods are topological obstacles that force stretching of fluid elements.…
The Size of Ghost Rods
Jean-Luc Thiffeault, Emmanuelle Gouillart, Matthew D. Finn
'Ghost Rods' are periodic structures in a two-dimensional flow that have an effect on material lines that is similar to real stirring rods. An example is a periodic island: materia…
Topological Mixing with Ghost Rods
Emmanuelle Gouillart, Jean-Luc Thiffeault, Matthew D. Finn
Topological chaos relies on the periodic motion of obstacles in a two-dimensional flow in order to form nontrivial braids. This motion generates exponential stretching of material…