Quantum turbulence (QT) arises in superfluid systems (superfluid helium, Bose-Einstein condensates e.g.). We aim at developing new mathematical and numerical tools to investigate this phenomenon, at very low (but positive) temperature.

A. Rakotondrandisa, I. Danaila, L. Danaila, International Journal of Heat and Fluid Flow, 76, p. 57-71, 2019.

P. G. Kevrekidis, I. Danaila, J.-G. Caputo, R. Carretero-González, Physical Review E,98, p. 052217(1-13), 2018.

I. Danaila, F. Luddens, F. Kaplanski, S. S. Sazhin, Physical Review Fluids, 3, p. 094701(1-22), 2018.

Méthodes spectrales pour la simulation de condensats de Bose-Einstein : vers la simulation haute-performance de la turbulence quantique.

Méthodes numériques et simulation de matériaux à changement de phase.

Mathematical modelling and numerical simulation of phase-change materials.

A. Papoutsakis, S. S. Sazhin, S. Begg, I. Danaila, F. Luddens, Journal of Computational Physics, 363, p. 399-427, 2018.

Solidification of a PCM (octadecane) starting from 50\% of melted material (top left). Creation of two solidification fronts, leading to a vanishing bubble of fluid.