Title :
Finite volume solution of the relativistic Boltzmann equation for electron avalanche studies
Author :
Symbalisty, Eugene M D ; Roussel-Dupré, Robert A. ; Yukhimuk, Vyacheslav A.
Author_Institution :
Div. of Earth & Environ. Sci., Los Alamos Nat. Lab., NM, USA
fDate :
10/1/1998 12:00:00 AM
Abstract :
The Boltzmann equation for a population of relativistic electrons in a constant external electric field in air is solved numerically in order to determine parameters of the resulting runaway electron beam. The numerical solution takes advantage of algorithms from computational fluid dynamics. The work revises the results from the original work where the numerical solution was found to be unstable
Keywords :
Boltzmann equation; air; bremsstrahlung; computational fluid dynamics; electron avalanches; electron beams; numerical stability; plasma kinetic theory; relativistic plasmas; Boltzmann equation; air; algorithms; computational fluid dynamics; constant external electric field; electron avalanche; finite volume solution; numerical solution; relativistic Boltzmann equation; relativistic electrons; runaway electron beam; unstable numerical solution; Boltzmann equation; Charge carrier processes; Computational fluid dynamics; Distribution functions; Electron beams; Integral equations; Ionization; Kinetic theory; Production; Steady-state;
Journal_Title :
Plasma Science, IEEE Transactions on