Space asymptotic method for the study of neutron propagation

S. Dulla, Barry D Ganapol, P. Ravetto

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Space asymptotic theory is shown to be a suitable model for the study of pulsed experiments in neutron multiplying systems. After a short revisitation of the basic aspects of space asymptotic theory applied on the Laplace transformed one-group transport equation, the full solution is derived. It is shown how results are exact in representing localized pulse propagation in the first portion of the transient, until the boundary is reached by the neutron signal, since it propagates with a finite velocity. Approximate models are then derived starting from the exact formulation and the BN method is used to account for anisotropy effects. Numerical results are presented for one-dimensional systems, discussing the physical phenomena and noting the distortions introduced by approximate models, which may then turn out to be inadequate for the simulation of realistic pulsed experiments situations.

Original languageEnglish (US)
Pages (from-to)932-940
Number of pages9
JournalAnnals of Nuclear Energy
Volume33
Issue number10
DOIs
StatePublished - Jul 2006

Fingerprint

Neutrons
physical phenomena
Anisotropy
anisotropy
experiment
Experiments
simulation
method
effect

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Waste Management and Disposal

Cite this

Space asymptotic method for the study of neutron propagation. / Dulla, S.; Ganapol, Barry D; Ravetto, P.

In: Annals of Nuclear Energy, Vol. 33, No. 10, 07.2006, p. 932-940.

Research output: Contribution to journalArticle

Dulla, S. ; Ganapol, Barry D ; Ravetto, P. / Space asymptotic method for the study of neutron propagation. In: Annals of Nuclear Energy. 2006 ; Vol. 33, No. 10. pp. 932-940.
@article{38d1ac27e68e470da77b0a4d27768001,
title = "Space asymptotic method for the study of neutron propagation",
abstract = "Space asymptotic theory is shown to be a suitable model for the study of pulsed experiments in neutron multiplying systems. After a short revisitation of the basic aspects of space asymptotic theory applied on the Laplace transformed one-group transport equation, the full solution is derived. It is shown how results are exact in representing localized pulse propagation in the first portion of the transient, until the boundary is reached by the neutron signal, since it propagates with a finite velocity. Approximate models are then derived starting from the exact formulation and the BN method is used to account for anisotropy effects. Numerical results are presented for one-dimensional systems, discussing the physical phenomena and noting the distortions introduced by approximate models, which may then turn out to be inadequate for the simulation of realistic pulsed experiments situations.",
author = "S. Dulla and Ganapol, {Barry D} and P. Ravetto",
year = "2006",
month = "7",
doi = "10.1016/j.anucene.2006.04.001",
language = "English (US)",
volume = "33",
pages = "932--940",
journal = "Annals of Nuclear Energy",
issn = "0306-4549",
publisher = "Elsevier Limited",
number = "10",

}

TY - JOUR

T1 - Space asymptotic method for the study of neutron propagation

AU - Dulla, S.

AU - Ganapol, Barry D

AU - Ravetto, P.

PY - 2006/7

Y1 - 2006/7

N2 - Space asymptotic theory is shown to be a suitable model for the study of pulsed experiments in neutron multiplying systems. After a short revisitation of the basic aspects of space asymptotic theory applied on the Laplace transformed one-group transport equation, the full solution is derived. It is shown how results are exact in representing localized pulse propagation in the first portion of the transient, until the boundary is reached by the neutron signal, since it propagates with a finite velocity. Approximate models are then derived starting from the exact formulation and the BN method is used to account for anisotropy effects. Numerical results are presented for one-dimensional systems, discussing the physical phenomena and noting the distortions introduced by approximate models, which may then turn out to be inadequate for the simulation of realistic pulsed experiments situations.

AB - Space asymptotic theory is shown to be a suitable model for the study of pulsed experiments in neutron multiplying systems. After a short revisitation of the basic aspects of space asymptotic theory applied on the Laplace transformed one-group transport equation, the full solution is derived. It is shown how results are exact in representing localized pulse propagation in the first portion of the transient, until the boundary is reached by the neutron signal, since it propagates with a finite velocity. Approximate models are then derived starting from the exact formulation and the BN method is used to account for anisotropy effects. Numerical results are presented for one-dimensional systems, discussing the physical phenomena and noting the distortions introduced by approximate models, which may then turn out to be inadequate for the simulation of realistic pulsed experiments situations.

UR - http://www.scopus.com/inward/record.url?scp=33746276112&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746276112&partnerID=8YFLogxK

U2 - 10.1016/j.anucene.2006.04.001

DO - 10.1016/j.anucene.2006.04.001

M3 - Article

AN - SCOPUS:33746276112

VL - 33

SP - 932

EP - 940

JO - Annals of Nuclear Energy

JF - Annals of Nuclear Energy

SN - 0306-4549

IS - 10

ER -