Published 2004 | Version v1
Book Metadata-only

Solution of the 1D kinetic diffusion equations using a reduced nodal cubic scheme

Creators

  • 1. Inst. Nacional de Investigaciones Nucleares, Km. 36.5 Carretera Mexico-Toluca, C.P. 52045, Estado de Mexico (Mexico)
  • 2. Inst. Politecnico Nacional, Av. IPN s/n, C.P. 07738 Mexico City (Mexico)

Description

In this work it is described a novel method to solve the multi-group time-dependent diffusion equations based on a nodal cubic space interpolation in addition to the application of quadrature rules simplifying the stiffness and mass matrices arising in a finite element procedure. Numerical results for a well known benchmark problem are also provided. (authors)

Additional details

Publishing Information

Publisher
American Nuclear Society - ANS
Imprint Place
La Grange Park (United States)
ISBN
0-89448683-7
Imprint Pagination
8 p.

Conference

Title
Global Developments
Acronym
PHYSOR 2004 - The Physics of Fuel Cycles and Advanced Nuclear Systems
Dates
25-29 Apr 2004
Place
Chicago, IL (United States)

INIS

Country of Publication
United States
Country of Input or Organization
France
INIS RN
42096413
Subject category
S22: GENERAL STUDIES OF NUCLEAR REACTORS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BENCHMARKS; FINITE ELEMENT METHOD; INTERPOLATION; MATRICES; NEUTRON DIFFUSION EQUATION; ONE-DIMENSIONAL CALCULATIONS; QUADRATURES; TIME DEPENDENCE
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; DIFFUSION EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Notes
7 refs.