Published 1975 | Version v1
Journal article Metadata-only

Solution of two-dimensional diffusion equation for hexagonal cells by the finite Fourier transformation

Creators

  • 1. Kyoto Univ. (Japan). Faculty of Engineering

Description

A method of solution is presented for a monoenergetic diffusion equation in two-dimensional hexagonal cells by a finite Fourier transformation. Up to the present, the solution by the finite Fourier transformation has been developed for x-y, r-z and x-y-z geometries, and the flux and current at the boundary are obtained in terms of Fourier series. It is shown here that the method can be applied to hexagonal cells and the expansion of boundary values in a Legendre polynomials gives numerically a higher accuracy than is obtained by a Fourier series. (orig.)

Abstract (German)

Fuer eine monoenergetische Diffusionsgleichung in zweidimensionalen hexagonalen Zellen wird eine Methode der Loesung durch finite Fourier-Transformation angegeben. Bisher sind Loesungen durch finite Fourier-Transformation nur fuer x-y-, r-z- und x-y-z-Geometrien entwickelt worden, wobei man Fluss und Strom am Rand als Fourier-Reihe erhaelt. In dieser Arbeit wird gezeigt, dass diese Methode auch auf hexagonale Zellen angewendet werden kann, und dass die Entwicklung der Randwerte nach Legendre-Polynomen eine hoehere numerische Genauigkeit ergibt als die Fourier-Entwicklung. (orig.)

Additional details

Publishing Information

Journal Title
Atomkernenergie
Journal Volume
26
Journal Issue
4
Series
Atomkernenergie.
Journal Page Range
249-254

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
7240739
Subject category
S22: GENERAL STUDIES OF NUCLEAR REACTORS;
Descriptors DEI
ACCURACY; FOURIER TRANSFORMATION; HEXAGONAL CONFIGURATION; HEXAGONAL LATTICES; LEGENDRE POLYNOMIALS; NEUTRON DIFFUSION EQUATION; NUMERICAL SOLUTION; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
CONFIGURATION; CRYSTAL LATTICES; CRYSTAL STRUCTURE; FUNCTIONS; INTEGRAL TRANSFORMATIONS; POLYNOMIALS; TRANSFORMATIONS

Optional Information

Notes
2 figs.; 2 tabs.; 8 refs.