Published 1983 | Version v1
Report Restricted

Variational methods in steady state diffusion problems

Creators

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 nonconservational 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

Availability note (English)

MF available from INIS under the Report Number; Available from NTIS, PC A03; 3 as DE83015221.

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Additional details

Publishing Information

Imprint Pagination
26 p.
Report number
LA-UR--83-2150

Conference

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

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
16001084
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ANALYTICAL SOLUTION; FUNCTIONALS; MULTIGROUP THEORY; NEUTRON DIFFUSION EQUATION; NUMERICAL SOLUTION; STEADY-STATE CONDITIONS; VARIATIONAL METHODS
Descriptors DEC
TRANSPORT THEORY

Optional Information

Secondary number(s)
CONF-830932--7.