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

FAN, WESLEY C. ; DRUMM, CLIFTON R. ; POWELL, JENNIFER L.

Sandia National Laboratories

关键词: Moments Method;    Boltzmann Equation;    Scattering;    73 Nuclear Physics And Radiation Physics;    Discrete Ordinate Method;   

DOI  :  10.2172/800996
RP-ID  :  SAND2002-1880
RP-ID  :  AC04-94AL85000
RP-ID  :  800996

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.