Project-Team:IPSO

Project-Team Ipso

Members

Overall Objectives

Research Program

Application Domains

New Results

Highlights of the Year
Multi-revolution composition methods for highly oscillatory differential equations
Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes
Asymptotic preserving scheme for a kinetic model describing incompressible fluids
Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling
Hamiltonian splitting for the Vlasov-Maxwell equations
A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
Charge conserving grid based methods for the Vlasov-Maxwell equations
Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code
Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting
Gyroaverage operator on polar mesh
A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit
Models of dark matter halos based on statistical mechanics: II. The fermionic King model
Models of dark matter halos based on statistical mechanics: I. The classical King model
Analysis of models for quantum transport of electrons in graphene layers
Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
Superconvergence of Strang splitting for NLS in Td
Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve
The fermionic King model
Landau damping in Sobolev spaces for the Vlasov-HMF model
Collisions of vortex filament pairs
Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
Analysis of a large number of Markov chains competing for transitions
Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates
Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
Randomized Message-Passing Test-and-Set
Existence of densities for the 3D Navier–Stokes equations driven by Gaussian noise
Diffusion limit for the radiative transfer equation perturbed by a Markovian process
Diffusion limit for the radiative transfer equation perturbed by a Wiener process

Partnerships and Cooperations

Dissemination

Bibliography

Inria | Raweb 2014 | Presentation of the Project-Team IPSO


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Section: New Results

Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code

In [32] , in collaboration with G. Latu, V. Grandgirard, J. Abiteboul, G. Dif-Pradalier, X. Garbet, P. Ghendrih Y. Sarazin (IRFM, Cadarache), M. Mehrenberger (University of Strasbourg) and E. Sonnendrücker (IPP Garching, Germany), we are concerned with gyrokinetic turbulent simulations, where the knowledge of some stationary states can help reducing numerical artifacts. Considering long-term simulations, the qualities of the Vlasov solver and of the radial boundary conditions have an impact on the conservation properties. In order to improve mass and energy conservation mainly, the following methods are investigated: fix the radial boundary conditions on a stationary state, use a 4D advection operator that avoids a directional splitting, interpolate with a delta-f approach. The combination of these techniques in the semi-Lagrangian code gysela leads to a net improvement of the conservation properties in 5D simulations.

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