Abstract
In this paper three spatial differencing schemes to be used with the even-parity, discrete ordinates, neutron transport equations are presented for the case of slab geometry and isotropic scattering and sources. These three schemes are analyzed in accordance with several desirable properties for spatial differencing schemes. The analyzed indicates that cell-edge differencing of the even-parity equations yields a second-order, positive method that satisfies most diffusion limits and leads to an iteration that can be readily accelerated with an effective diffusion synthetic algorithm. The analyses indicate that this approach is quite promising and should be further developed.
Highlights
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Summary
IS operated by Ihe Unwerslty of cahlornla for Ihe United slates DWJOrImOnl 9! =ner9Y under Conlracl W-7405 -ENG-36. An Analysis of the Finite-Differenced, Even-Parity, Discrete-Ordinates Equations in Slab Geometry Jr. Lcs Alamos National Laboratory and University of California, Berkeley Considerable effort has been expended in recent years in finding improved spatial differencing schemes for the neutron and radiation transport equations.
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