1 citations · 2 across the 3 of their papers we have counts for
7 papers
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime
Thierry Goudon, Pauline Lafitte, Corrado Mascia
Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Ch…
Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations
Guillaume Dujardin, Frédéric Hérau, Pauline Lafitte
In this article, we propose and study several discrete versions of homogeneous and inhomogeneous one-dimensional Fokker-Planck equations. In particular, for these discretizations o…
Asymptotic behavior of splitting schemes involving time-subcycling techniques
Guillaume Dujardin, Pauline Lafitte
This paper deals with the numerical integration of well-posed multiscale systems of ODEs or evolutionary PDEs. As these systems appear naturally in engineering problems, time-subcy…
A high-order relaxation method with projective integration for solving nonlinear systems of hyperbolic conservation laws
Pauline Lafitte, Ward Melis, Giovanni Samaey
We present a general, high-order, fully explicit relaxation scheme which can be applied to any system of nonlinear hyperbolic conservation laws in multiple dimensions. The scheme c…
A high-order asymptotic-preserving scheme for kinetic equations using projective integration
Pauline Lafitte, Annelies Lejon, Giovanni Samaey
We investigate a high-order, fully explicit, asymptotic-preserving scheme for a kinetic equation with linear relaxation, both in the hydrodynamic and diffusive scalings in which a…
Numerical exploration of a forward-backward diffusion equation
Pauline Lafitte, Corrado Mascia
We analyze numerically a forward-backward diffusion equation with a cubic-like diffusion function, -emerging in the framework of phase transitions modeling- and its "entropy" formu…