20 citations · 20 across the 4 of their papers we have counts for
4 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…
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…
Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks
Michikazu Kobayashi, Philippe Parnaudeau, Francky Luddens +4
This paper is concerned with the numerical investigation of Quantum Turbulence (QT) described by the Gross-Pitaevskii (GP) equation. Numerical simulations are performed using a par…