A Response Matrix Method for One-Speed Slab-Geometry Discrete Ordinates Adjoint Calculations in Source-Detector Problems

ABSTRACT

Presented here is an application of the one-speed Response Matrix (RM) method for adjoint discrete ordinates (S_N) problems in slab geometry applied to source-detector problems. The adjoint RM method is free from spatial truncation errors, as it generates numerical results for the adjoint angular fluxes in multilayer slabs that agree with the numerical values obtained from the analytical solution of the adjoint S_N equations. Numerical results are given for two typical source-detector problems to illustrate the accuracy and the efficiency of the offered RM computer code.

KEYWORDS:

• Adjoint transport problems
• discrete ordinates
• response matrix method
• source-detector problems

Funding

The authors wish to thank Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq-Brazil) and Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ-Brazil) for their financial support.