97 citations · 490 across the 21 of their papers we have counts for
22 papers
An implicit regularized enthalpy Lattice Boltzmann Method for the Stefan problem
Francky Luddens, Corentin Lothodé, Ionut Danaila
Solving the Stefan problem, also referred as the heat conduction problem with phase change, is a necessary step to solve phase change problems with convection. In this article, we…
Physics Informed Neural Networks for heat conduction with phase change
Bahae-Eddine Madir, Francky Luddens, Corentin Lothodé +1
We study numerical algorithms to solve a specific Partial Differential Equation (PDE), namely the Stefan problem, using Physics Informed Neural Networks (PINNs). This problem descr…
Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model
Cyril Tain, Jean-Guy Caputo, Ionut Danaila
The time-dependent Ginzburg-Landau (TDGL) model requires the choice of a gauge for the problem to be mathematically well-posed. In the literature, three gauges are commonly used: t…
Parallel finite-element codes for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates
Georges Sadaka, Pierre Jolivet, Efstathios G. Charalampidis +1
We present and distribute a parallel finite-element toolbox written in the free software FreeFem for computing the Bogoliubov-de Gennes (BdG) spectrum of stationary solutions to on…
Higher-order statistics and intermittency of a two-fluid HVBK quantum turbulent flow
Zhentong Zhang, Ionut Danaila, Emmanuel Lévêque +1
The Hall-Vinen-Bekharevich-Khalatnikov (HVBK) model is widely used to numerically study quantum turbulence in superfluid helium. Based on the two-fluid model of Tisza and Landau, t…
A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates
Georges Sadaka, Victor Kalt, Ionut Danaila +1
We present a finite element toolbox for the computation of Bogoliubov-de Gennes modes used to assess the linear stability of stationary solutions of the Gross-Pitaevskii (GP) equat…