Regularized Grad equations for multicomponent plasmas

Journal Article · Fri May 20 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3562632· OSTI ID:21511601

Magin, Thierry E; Martins, Gerald ^[1]; Torrilhon, Manuel ^[2]

---

1. Aeronautics and Aerospace Department, von Karman Institute for Fluid Dynamics, Chaussee de Waterloo 72, 1640 Rhode-Saint-Genese (Belgium)
2. Seminar for Applied Mathematics, Swiss Federal Institute of Technology Zurich, ETH - Zentrum, 8092 Zurich (Switzerland)

The moment method of Grad is used to derive macroscopic conservation equations for multicomponent plasmas for small and moderate Knudsen numbers, accounting for the electromagnetic field influence and thermal nonequilibrium. In the low Knudsen number limit, the equations derived are fully consistent with those obtained by means of the Chapman-Enskog method. In particular, we have retieved the Kolesnikov effect coupling electrons and heavy particles in the case of the Boltzmann moment systems. Finally, a regularization procedure is proposed to achieve continuous shock structures at all Mach numbers.

• OSTI ID: 21511601
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1333; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
COUPLING
DIMENSIONLESS NUMBERS
ELECTROMAGNETIC FIELDS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FLUID FLOW
FLUID MECHANICS
GAS FLOW
HYDRODYNAMICS
KNUDSEN FLOW
LEPTONS
MACH NUMBER
MECHANICS
MOMENTS METHOD
PLASMA
VELOCITY
VISCOSITY