Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Multi-scale particle-in-cell plasma simulation
Journal of Computational Physics
Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
ACM Transactions on Mathematical Software (TOMS)
The Darwin direct implicit particle-in-cell method for simulation of low frequency plasma phenomena
Journal of Computational Physics
Journal of Computational Physics
Simplified PN approximations to the equations of radiative heat transfer and applications
Journal of Computational Physics
Quasi-neutral fluid models for current-carrying plasmas
Journal of Computational Physics
An overview of the Trilinos project
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
Journal of Computational Physics
Numerical solutions of Euler--Poisson systems for potential flows
Applied Numerical Mathematics
An Asymptotic Preserving scheme for the Euler equations in a strong magnetic field
Journal of Computational Physics
Density models for streamer discharges: Beyond cylindrical symmetry and homogeneous media
Journal of Computational Physics
Positivity and Conservation Properties of Some Integration Schemes for Mass Action Kinetics
SIAM Journal on Numerical Analysis
Numerical approximation of the Euler-Maxwell model in the quasineutral limit
Journal of Computational Physics
Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit
Journal of Scientific Computing
Hi-index | 31.45 |
In this work we describe the development of a robust simulator of the streamer phenomenon. A very common problem of computational plasma physics is the stability of the numerical scheme when the quasi-neutral regime is approached. Actually the stability condition may imply very tight time step constraints. We prove, both numerically and analytically, the good behavior of our approach when the system approaches the quasi-neutral regime. In particular, the semi-implicit method we employ requires mild time step restrictions to guarantee the stability. Some other properties such as the positivity of the scheme are investigated and a detailed review of the numerical implementation is included.