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 |
| State | Published - Dec 1973 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Nuclear Energy and Engineering
Cite this
COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT. / Ganapol, Barry D; Grossman, Lawrence M.
In: Nuclear Science and Engineering, Vol. 52, No. 4, 12.1973, p. 454-460.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - COLLIDED FLUX EXPANSION METHOD FOR TIME-DEPENDENT NEUTRON TRANSPORT.
AU - Ganapol, Barry D
AU - Grossman, Lawrence M.
PY - 1973/12
Y1 - 1973/12
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 - http://www.scopus.com/inward/record.url?scp=0015743805&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0015743805&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0015743805
VL - 52
SP - 454
EP - 460
JO - Nuclear Science and Engineering
JF - Nuclear Science and Engineering
SN - 0029-5639
IS - 4
ER -