The Adjoint Discrete Ordinates Solution Applied to Direct and Inverse Neutral Particle X, Y-Geometry Source-Detector Problems

21 Pages Posted: 31 Dec 2019

See all articles by Jesús P. Curbelo

Jesús P. Curbelo

Instituto Politécnico, IPRJ/UERJ

Ricardo C. Barros

Universidade do Estado do Rio de Janeiro (UERJ); Instituto Politécnico, IPRJ/UERJ

Date Written: December 09, 2019

Abstract

Solving the adjoint transport equation allows obtaining maps of the neutral-particle importance to an objective function, e.g., a detector response. In source-detector problems, the adjoint interior source is defined as the macroscopic absorption cross section of the material the detector is made of. Determining the intensity of a source of particles in each energy group (causes) is possible by solving an inverse source-detector problem, given the source location and the detector response (effects). In this work, we present the application of an adjoint technique to solve energy multigroup X,Y-geometry direct and inverse transport problems. In order to obtain the importance maps, we have extended the adjoint spectral Green's function constant-nodal (SGF*-CN) method to numerically solve energy multigroup adjoint transport problems in the discrete ordinates formulation. Described here are the methodology to obtain the discretized SGF*-CNequations and the adjoint partial one-node block inversion scheme used to iteratively solve these equations. We present numerical results to two test problems to illustrate the accuracy of the present methodology.

Keywords: multigroup adjoint transport problem, discrete ordinates, spectral nodal method, source-detector problems, inverse source-detector problems, non-multiplying media

Suggested Citation

Pérez Curbelo, Jesús and Carvalho de Barros, Ricardo, The Adjoint Discrete Ordinates Solution Applied to Direct and Inverse Neutral Particle X, Y-Geometry Source-Detector Problems (December 09, 2019). Available at SSRN: https://ssrn.com/abstract=3500920 or http://dx.doi.org/10.2139/ssrn.3500920

Jesús Pérez Curbelo (Contact Author)

Instituto Politécnico, IPRJ/UERJ

P.O.Box 97282, 28610-974 Nova Friburgo, RJ, Brazil
Nova Friburgo, RJ 28610-974
Brazil

Ricardo Carvalho de Barros

Universidade do Estado do Rio de Janeiro (UERJ)

P.O.Box 97282, 28610-974 Nova Friburgo, RJ, Brazil
Nova Friburgo, RJ 28610-974
Brazil

Instituto Politécnico, IPRJ/UERJ

P.O.Box 97282, 28610-974 Nova Friburgo, RJ, Brazil
Nova Friburgo, RJ 28610-974
Brazil

Here is the Coronavirus
related research on SSRN

Paper statistics

Downloads
7
Abstract Views
66
PlumX Metrics