Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 51, Issue 1, Pages 59-86Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-011-9495-1
Keywords
Euler-Poisson-Boltzmann; Quasineutrality; Asymptotic-Preserving scheme; Stiffness; Debye length
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Funding
- 'Fondation Sciences et Technologies pour l'Aeronautique et l'Espace' [RTRA-STAE/2007/PF/002]
- 'Federation de recherche sur la fusion par confinement magnetique'
- CEA [V3629.001 avenant 2]
- National Science Foundation under Kinetic FRG [DMS 07-57227]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0757227] Funding Source: National Science Foundation
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This paper analyzes various schemes for the Euler-Poisson-Boltzmann (EPB) model of plasma physics. This model consists of the pressureless gas dynamics equations coupled with the Poisson equation and where the Boltzmann relation relates the potential to the electron density. If the quasi-neutral assumption is made, the Poisson equation is replaced by the constraint of zero local charge and the model reduces to the Isothermal Compressible Euler (ICE) model. We compare a numerical strategy based on the EPB model to a strategy using a reformulation (called REPB formulation). The REPB scheme captures the quasi-neutral limit more accurately.
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