Orateur
Prof.
Laurette Tuckerman
(Ecole Supérieure de Physique et de Chimie Industrielle (Paris))
Description
In 1831, Faraday described the standing wave patterns that form on
the surface of a layer of fluid subjected to periodic vertical vibration.
These waves usually take the form of stripes, squares, or hexagons.
However, other phenomena have been observed numerically, such as
quasipatterns, supersquares, heteroclinic cycles, and oscillons.
Until recently, numerical simulation of Faraday waves was out of
reach. Since 2009, however, we have simulated not only simple wave
patterns but also patterns which involve large-scale modulation. To
do so, we have developed a massively parallel multiphase code, BLUE,
whose treatment of the free surface uses a hybrid
Front-Tracking/Level-Set technique, defining the interface both by a
discontinuous density field on the Eulerian grid and by triangles on
the Lagrangian interface mesh.
We will discuss the various Faraday wave configurations we have
studied: regular square and hexagonal lattices, patterns composed
of spherical harmonics on a vibrated drop, and supersquares
consisting of a four-by-four array of smaller squares.
