COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT.

Barry D. Ganapol; Lawrence M. Grossman

doi:10.13182/NSE73-A23312

COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT.

Barry D. Ganapol
, Lawrence M. Grossman

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

A method for evaluating Kholin's solution, specialized to the case of isotropic scattering, is presented. A series of integrals are evaluated numerically by either a recursion relation or a Chebyshev-Gauss quadrature approximation. The neutron density found by this method serves as an analytic ″benchmark″ to which other solutions to the time-dependent transport equation can be compared. A new closed form of the solution is also derived.

Original language	English (US)
Pages (from-to)	454-460
Number of pages	7
Journal	Nuclear Science and Engineering
Volume	52
Issue number	4
DOIs	https://doi.org/10.13182/NSE73-A23312
State	Published - 1973
Externally published	Yes

ASJC Scopus subject areas

Nuclear Energy and Engineering

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10.13182/NSE73-A23312

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title = "COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT.",

abstract = "A method for evaluating Kholin's solution, specialized to the case of isotropic scattering, is presented. A series of integrals are evaluated numerically by either a recursion relation or a Chebyshev-Gauss quadrature approximation. The neutron density found by this method serves as an analytic ″benchmark″ to which other solutions to the time-dependent transport equation can be compared. A new closed form of the solution is also derived.",

author = "Ganapol, \{Barry D.\} and Grossman, \{Lawrence M.\}",

year = "1973",

doi = "10.13182/NSE73-A23312",

language = "English (US)",

volume = "52",

pages = "454--460",

journal = "Nuclear Science and Engineering",

issn = "0029-5639",

publisher = "Taylor and Francis Ltd.",

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T1 - COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT.

AU - Ganapol, Barry D.

AU - Grossman, Lawrence M.

PY - 1973

Y1 - 1973

N2 - A method for evaluating Kholin's solution, specialized to the case of isotropic scattering, is presented. A series of integrals are evaluated numerically by either a recursion relation or a Chebyshev-Gauss quadrature approximation. The neutron density found by this method serves as an analytic ″benchmark″ to which other solutions to the time-dependent transport equation can be compared. A new closed form of the solution is also derived.

AB - A method for evaluating Kholin's solution, specialized to the case of isotropic scattering, is presented. A series of integrals are evaluated numerically by either a recursion relation or a Chebyshev-Gauss quadrature approximation. The neutron density found by this method serves as an analytic ″benchmark″ to which other solutions to the time-dependent transport equation can be compared. A new closed form of the solution is also derived.

UR - https://www.scopus.com/pages/publications/0015743805

UR - https://www.scopus.com/pages/publications/0015743805#tab=citedBy

U2 - 10.13182/NSE73-A23312

DO - 10.13182/NSE73-A23312

M3 - Article

AN - SCOPUS:0015743805

SN - 0029-5639

VL - 52

SP - 454

EP - 460

JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

IS - 4

ER -

COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT.

Abstract

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