4 citations · 4 across the 5 of their papers we have counts for
5 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…
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…
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…
On the convergence of a low order Lagrange finite element approach for natural convection problems
Ionut Danaila, Francky Luddens, Cécile Legrand
The purpose of this article is to study the convergence of a low order finite element approximation for a natural convection problem. We prove that the discretization based on P1 p…