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The linear Boltzmann equation in slab geometry - Development and verification of a reliable and efficient solutionThe linear Boltzmann equation can be cast in a form mathematically identical to the radiation-transport equation. A multigroup procedure is used to reduce the energy (or velocity) dependence of the transport equation to a series of one-speed problems. Each of these one-speed problems is equivalent to the monochromatic radiative-transfer problem, and existing software is used to solve this problem in slab geometry. The numerical code conserves particles in elastic collisions. Generic examples are provided to illustrate the applicability of this approach. Although this formalism can, in principle, be applied to a variety of test particle or linearized gas dynamics problems, it is particularly well-suited to study the thermalization of suprathermal particles interacting with a background medium when the thermal motion of the background cannot be ignored. Extensions of the formalism to include external forces and spherical geometry are also feasible.
Document ID
19920033196
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Stamnes, K.
(Alaska Univ. Fairbanks, AK, United States)
Lie-Svendsen, O.
(Alaska Univ. Fairbanks, AK, United States)
Rees, M. H.
(Alaska, University Fairbanks, United States)
Date Acquired
August 15, 2013
Publication Date
October 1, 1991
Publication Information
Publication: Planetary and Space Science
Volume: 39
ISSN: 0032-0633
Subject Category
Thermodynamics And Statistical Physics
Accession Number
92A15820
Funding Number(s)
CONTRACT_GRANT: NSF ATM-87-01192
CONTRACT_GRANT: NAG5-1097
Distribution Limits
Public
Copyright
Other

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