Published August 1983 | Version v1
Miscellaneous Open

Variational methods in steady state diffusion problems

  • 1. Texas A and M Univ., College Station (USA). Dept. of Physics

Description

Classical variational techniques are used to obtain accurate solutions to the multigroup multiregion one dimensional steady state neutron diffusion equation. Analytic solutions are constructed for benchmark verification. Functionals with cubic trial functions and conservational lagrangian constraints are exhibited and compared with non-conservational functionals with respect to neutron balance and to relative flux and current at interfaces. Excellent agreement of the conservational functionals using cubic trial functions is obtained in comparison with analytic solutions

Files

19045778.pdf

Files (436.1 kB)

Name Size Download all
md5:68d17d2641cb75f1cbb8f3496611061b
436.1 kB Preview Download
Part of:
Numerical methods in nuclear engineering. Part 1

Additional details

Publishing Information

Imprint Title
Numerical methods in nuclear engineering. Part 1
Imprint Pagination
587 p.
Journal Page Range
p. 97-120.
Report number
INIS-mf--11168

Conference

Title
International conference on numerical methods in nuclear engineering.
Dates
6-9 Sep 1983.
Place
Montreal, Quebec (Canada).

INIS

Country of Publication
Canada
Country of Input or Organization
Canada
INIS RN
19045778
Subject category
S22: GENERAL STUDIES OF NUCLEAR REACTORS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
FUNCTIONALS; MULTIGROUP THEORY; NEUTRON DIFFUSION EQUATION; NUMERICAL SOLUTION; VARIATIONAL METHODS
Descriptors DEC
TRANSPORT THEORY

Optional Information