1k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université Toulouse III - Paul SabatierFR936 papers
- Centre National de la Recherche ScientifiqueFR543 papers
- Institut National des Sciences Appliquées de ToulouseFR543 papers
- Université de ToulouseFR306 papers
- Toulouse Mathematics Institute172 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR155 papers
- Institut Universitaire de FranceFR37 papers
- Institut national de recherche en sciences et technologies du numériqueFR35 papers
- Laboratoire de Mathématiques d'OrsayFR34 papers
- Institut de Mathématiques de BordeauxFR31 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR27 papers
- Laboratoire d'Analyse et d'Architecture des SystèmesFR27 papers
8 papers · 2 filters
Fluid Simulations with Localized Boltzmann Upscaling by Direct Simulation Monte-Carlo
Pierre Degond, Giacomo Dimarco
In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volum…
Degenerate anisotropic elliptic problems and magnetized plasma simulations
Stéphane Brull, Pierre Degond, Fabrice Deluzet
This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directi…
A totally Eulerian Finite Volume solver for multi-material fluid flows: Enhanced Natural Interface Positioning (ENIP)
Raphaël Loubère, Jean-Philippe Braeunig, Jean-Michel Ghidaglia
This work concerns the simulation of compressible multi-material fluid flows and follows the method FVCF-NIP described in the former paper Braeunig et al (Eur. J. Mech. B/Fluids, 2…
Exponential Runge-Kutta methods for stiff kinetic equations
Giacomo Dimarco, Lorenzo Pareschi
We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator into an equilibrium an…
Numerical simulations of the Euler system with congestion constraint
Pierre Degond, Jiale Hua, Laurent Navoret
In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [1, 3] with the constraint introduced into the system…
Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations
Pierre Degond, Fabrice Deluzet, Alexei Lozinski +2
The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variab…
A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
Philippe Bonneton, Florent Chazel, David Lannes +2
The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more…
On discretization in time in simulations of particulate flows
Matthieu Hillairet, Alexei Lozinski, Marcela Szopos
We propose a time discretization scheme for a class of ordinary differential equations arising in simulations of fluid/particle flows. The scheme is intended to work robustly in th…