We develop a numerical strategy to solve multi-dimensional Poisson equations on
dynamically adapted grids for evolutionary problems disclosing propagating fronts. The …

Operator splitting techniques were originally introduced with the main objective of saving
computational costs. A multi-physics problem is thus split in subproblems of different nature …

Solid rocket motors (SRMs) use the combustion of a solid material, the propellant, as an
energy source. A crucial step in the operation of such an engine is its ignition, during which …

Dans un contexte industriel, l'utilisation de modèles diphasiques d'ordre réduit est
nécessaire pour pouvoir effectuer des simulations numériques prédictives d'injection de …

Oxycombustion is seen as one mean to attain the wished goals in terms of efficiency
optimisation and Greenhouse Effect Gases emissions reduction for industrial furnaces. The …

We consider high order, implicit Runge-Kutta schemes to solve time-dependent stiff PDEs
on dynamically adapted grids generated by multiresolution analysis for unsteady problems …

The purpose is here to explore the influence of very short time scales in the numerical
analysis of operator splitting techniques. Whereas such a study has been completed in a …

Dans le cadre du cours, nous avons choisi de proposer un fil rouge sur la résolution de la
propagation de fronts. Ces phénomènes sont le plus souvent instationnaires et requièrent …

This project is concerned with the numerical simulation of multi-scale physics, for which the
properties of the system may experience large variations across thin transition regions …

In this paper we investigate the numerical solution of Poisson equations on adapted
structured grids generated by multiresolution analysis. Such an approach not only involves …