Front tracking applied to Rayleigh Taylor instability
SIAM Journal on Scientific and Statistical Computing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
A conservative finite difference method for the mumerical solution of plasma fluid equations
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
Journal of Computational Physics
Approximate Riemann solver for the two-fluid plasma model
Journal of Computational Physics
Quasi-neutral fluid models for current-carrying plasmas
Journal of Computational Physics
An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
Journal of Computational Physics
Hi-index | 31.45 |
This paper is devoted to the numerical study of a two-dimensional model for plasma expansion in vacuum. The plasma, constituted of ions and electrons, is injected from a part of the cathode and undergoes a thermal expansion. Due to the positive anode potential, electrons are emitted from the plasma-vacuum interface, forming an electron beam. Moreover, electron emission produces a reaction-pressure force which slows down the plasma expansion. Previous works [P. Degond, C. Parzani, M.H. Vignal, Un modele d'expansion de plasma dans le vide, C. R. Acad. Sci. Paris 335 (2002) 399; P. Degond, C. Parzani, M.H. Vignal, Plasma expansion in vacuum: modeling the breakdown of quasineutrality, SIAM, Multiscale Model. Simul. 2 (2003) 158; P. Degond, C. Parzani, M. H. Vignal, A model for plasma expansion in the vacuum, in: Proceedings of the Conference ''Free Boundary Problems 2002'', Trento, June 2002] have been realized to describe this process in the one-dimensional case. One of the main goal is to get a precise description of the interface motion. The aim of the present work is to explore more realistic cases investigating a two-dimensional model. However, considering upper dimensions yields to new difficulties essentially from a numerical point of view. Indeed, in the 2D space case, the plasma-vacuum interface is no more a point but a curve. Therefore, in this work, after proposing a two-dimensional model, we focus on the interface tracking using a volume of fluid method. We perform numerical simulations on two test cases. The first test case consists in a two-dimensional fluid compression for which an analytic solution is known. The second test case is the plasma bubble expansion between two electrodes.