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

B. D. Ganapol

doi:10.13182/M&C21-33915

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

B. D. Ganapol

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021
Publisher	American Nuclear Society
Pages	1194-1202
Number of pages	9
ISBN (Electronic)	9781713886310
DOIs	https://doi.org/10.13182/M&C21-33915
State	Published - 2021
Event	2021 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021 - Virtual, Online Duration: Oct 3 2021 → Oct 7 2021

Publication series

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

Conference

Conference	2021 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021
City	Virtual, Online
Period	10/3/21 → 10/7/21

Keywords

Diagonalization
Discrete Ordinates
Response Matrix

ASJC Scopus subject areas

Nuclear Energy and Engineering
Applied Mathematics

Access to Document

10.13182/M&C21-33915

Cite this

Ganapol, B. D. (2021). A VARIATION ON THE RESPONSE MATRIX APPROACH FOR A SLAB ILLUMINATED BY A NEUTRON BEAM. In Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021 (pp. 1194-1202). (Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021). American Nuclear Society. https://doi.org/10.13182/M&C21-33915

A VARIATION ON THE RESPONSE MATRIX APPROACH FOR A SLAB ILLUMINATED BY A NEUTRON BEAM. / Ganapol, B. D.
Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021. American Nuclear Society, 2021. p. 1194-1202 (Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ganapol, BD 2021, A VARIATION ON THE RESPONSE MATRIX APPROACH FOR A SLAB ILLUMINATED BY A NEUTRON BEAM. in Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021. Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021, American Nuclear Society, pp. 1194-1202, 2021 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021, Virtual, Online, 10/3/21. https://doi.org/10.13182/M&C21-33915

Ganapol BD. A VARIATION ON THE RESPONSE MATRIX APPROACH FOR A SLAB ILLUMINATED BY A NEUTRON BEAM. In Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021. American Nuclear Society. 2021. p. 1194-1202. (Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021). doi: 10.13182/M&C21-33915

Ganapol, B. D. / A VARIATION ON THE RESPONSE MATRIX APPROACH FOR A SLAB ILLUMINATED BY A NEUTRON BEAM. Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021. American Nuclear Society, 2021. pp. 1194-1202 (Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021).

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abstract = "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.",

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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.

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

Abstract

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Conference

Keywords

ASJC Scopus subject areas

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