Path length differencing and energy conservation of the S[sub N] Boltzmann/Spencer-Lewis equation

Journal Article · Mon Feb 01 00:00:00 EST 1993 · Nuclear Science and Engineering; (United States)

OSTI ID:6381912

Filippone, W L; Monahan, S P ^[1]

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1. Univ. of Arizona, Tucson (United States)

It is shown that the S[sub N] Boltzmann/Spencer-Lewis equations conserve energy locally if and only if they satisfy particle balance and diamond differencing is used in path length. In contrast, the spatial differencing schemes have no bearing on the energy balance. Energy is conserved globally if it is conserved locally and the multigroup cross sections are energy conserving. Although the coupled electron-photon cross sections generated by CEPXS conserve particles and charge, they do not precisely conserve energy. It is demonstrated that these cross sections can be adjusted such that particles, charge, and energy are conserved. Finally, since a conventional negative flux fixup destroys energy balance when applied to path legend, a modified fixup scheme that does not is presented.

• OSTI ID: 6381912
• Journal Information: Nuclear Science and Engineering; (United States), Vol. 113:2; ISSN 0029-5639
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE TRANSPORT THEORY
BOLTZMANN EQUATION
GAMMA TRANSPORT THEORY
CONSERVATION LAWS
ELECTRONS
ENERGY LOSSES
MULTIGROUP THEORY
PHOTONS
BOSONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
LEPTONS
LOSSES
MASSLESS PARTICLES
NEUTRON TRANSPORT THEORY
PARTIAL DIFFERENTIAL EQUATIONS
TRANSPORT THEORY
663620* - Physics of Radiations Other Than Neutrons- (1992-)