TY - GEN

T1 - A VARIATION ON THE RESPONSE MATRIX APPROACH FOR A SLAB ILLUMINATED BY A NEUTRON BEAM

AU - Ganapol, B. D.

N1 - Publisher Copyright:
Copyright © 2021 AMERICAN NUCLEAR SOCIETY, INCORPORATED, LA GRANGE PARK, ILLINOIS 60526.All rights reserved.

PY - 2021

Y1 - 2021

N2 - The well-known response matrix solution applies to the neutron transport or radiative transfer equations in various forms in slab geometry. However, the approaches differ by the particular nodal response used to propagate neutrons or photons through the medium. Typical responses include the Green's function, diamond difference, Taylor series and matrix diagonalization. The response matrix concept derives from the simple transport axiom- If one knows the exiting flux, then one also knows the interior flux. Here, we again consider the 1D response matrix, but with a new solution representation previous ignored.

AB - The well-known response matrix solution applies to the neutron transport or radiative transfer equations in various forms in slab geometry. However, the approaches differ by the particular nodal response used to propagate neutrons or photons through the medium. Typical responses include the Green's function, diamond difference, Taylor series and matrix diagonalization. The response matrix concept derives from the simple transport axiom- If one knows the exiting flux, then one also knows the interior flux. Here, we again consider the 1D response matrix, but with a new solution representation previous ignored.

KW - Diagonalization

KW - Discrete Ordinates

KW - Response Matrix

UR - http://www.scopus.com/inward/record.url?scp=85183598622&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85183598622&partnerID=8YFLogxK

U2 - 10.13182/M&C21-33915

DO - 10.13182/M&C21-33915

M3 - Conference contribution

AN - SCOPUS:85183598622

T3 - Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021

SP - 1194

EP - 1202

BT - Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021

PB - American Nuclear Society

T2 - 2021 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021

Y2 - 3 October 2021 through 7 October 2021

ER -