Quantum turbulence can be treated at a coarse-grained level as a problem of classical fluid
dynamics by considering a mixture of two interacting fluids: a normal fluid with a non-zero
viscosity and an inviscid superfluid. The dynamics then obeys a system of Navier-Stokes
and Euler equations coupled by a mutual friction force modelling the interactions between
the elementary vortices of the superfluid component and the normal fluid. This is the
framework of the so-called two-fluid model initiated by Landau and Tisza in 1941. The
present program aims at extending this framework by accounting explicitly for the coarse-grained dynamics of the superfluid elementary vortices, viewed as a third-fluid component.
The successful candidate will perform pseudo-spectral simulations of quantum turbulence
encompassing three-fluid modelling by using an operational internal code (in Fortran). The
results will be compared with recent experimental data and previous numerical results
obtained with the two-fluid model. This study will contribute to improve our understanding
of multiscale properties of quantum turbulence.
This program is part of a major project called Quantum Turbulence Exploration by HighPerformance Computing (QuteHPC) funded by the French National Research Agency (ANR): http://qute-hpc.math.cnrs.fr/