Published 1994 | Version v1
Miscellaneous

Finite element solution to the transport equation

  • 1. Ecole Polytechnique, Montreal, PQ (Canada)

Description

A finite element solution to the even parity neutron transport equation with anisotropic scattering, based on a variational approach, was generated using a spherical harmonics series expansion for the flux and sources. The functional of Kaplan and Davis is selected because it explicitly contains void boundary and current continuity conditions. The resulting linear system of equations was also symmetrized by using an adequate normalization for the spherical harmonics and by choosing a convenient spatial polynomial basis. Some results for a three hundred dimensional benchmark problem are presented. (author) 12 refs., 1 tab., 1 fig

Part of:
Proceedings of the Canadian Nuclear Society 15. annual conference

Additional details

Publishing Information

Imprint Title
Proceedings of the Canadian Nuclear Society 15. annual conference
Imprint Pagination
[1000 p.].
Journal Page Range
(v.1) [13 p.].
ISSN
0227-1907
Report number
INIS-mf--14987(v.1,2)

Conference

Title
15. annual conference of the Canadian Nuclear Society; 34. annual conference of the Canadian Nuclear Association.
Dates
5-8 Jun 1994.
Place
Montreal, PQ (Canada).

INIS

Country of Publication
Canada
Country of Input or Organization
Canada
INIS RN
28015847
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
FINITE ELEMENT METHOD; NEUTRON DIFFUSION EQUATION; NEUTRON TRANSPORT THEORY; NODAL EXPANSION METHOD; PARITY; SPHERICAL HARMONICS METHOD; THREE-DIMENSIONAL CALCULATIONS
Descriptors DEC
CALCULATION METHODS; NUMERICAL SOLUTION; PARTICLE PROPERTIES; TRANSPORT THEORY

Optional Information