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Discrete Ordinates Approximations to the First- and Second-Order Radiation Transport Equations

Technical Report ·
DOI:https://doi.org/10.2172/800996· OSTI ID:800996

The conventional discrete ordinates approximation to the Boltzmann transport equation can be described in a matrix form. Specifically, the within-group scattering integral can be represented by three components: a moment-to-discrete matrix, a scattering cross-section matrix and a discrete-to-moment matrix. Using and extending these entities, we derive and summarize the matrix representations of the second-order transport equations.

Research Organization:
Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
Sponsoring Organization:
US Department of Energy (US)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
800996
Report Number(s):
SAND2002-1880
Country of Publication:
United States
Language:
English

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