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Integral Transport Theory in One-dimensional Geometries

Abstract

A method called DIT (Discrete Integral Transport) has been developed for the numerical solution of the transport equation in one-dimensional systems. The characteristic features of the method are Gaussian integration over the coordinate as described by Kobayashi and Nishihara, and a particular scheme for the calculation of matrix elements in annular and spherical geometry that has been used for collision probabilities in earlier Flurig programmes. The paper gives a general theory including such things as anisotropic scattering and multi-pole fluxes, and it gives a brief description of the Flurig scheme. Annular geometry is treated in some detail, and corresponding formulae are given for spherical and plane geometry. There are many similarities between DIT and the method of collision probabilities. DIT is in many cases faster, because for a certain accuracy in the fluxes DIT often needs fewer space points than the method of collision probabilities needs regions. Several computer codes using DIT, both one-group and multigroup, have been written. It is anticipated that experience gained in calculations with these codes will be reported in another paper.
Authors:
Publication Date:
Jun 15, 1966
Product Type:
Technical Report
Report Number:
AE-227
Resource Relation:
Other Information: 14 refs., 15 figs., 1 tab.
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ONE-DIMENSIONAL CALCULATIONS; ANNULAR SPACE; NEUTRON TRANSPORT THEORY; SPHERICAL CONFIGURATION; ANISOTROPY; SCATTERING
OSTI ID:
20949510
Research Organizations:
AB Atomenergi, Nykoeping (Sweden)
Country of Origin:
Sweden
Language:
English
Other Identifying Numbers:
TRN: SE0708485
Availability:
Commercial reproduction prohibited; OSTI as DE20949510
Submitting Site:
SWDN
Size:
70 pages
Announcement Date:
Dec 15, 2007

Citation Formats

Carlvik, I. Integral Transport Theory in One-dimensional Geometries. Sweden: N. p., 1966. Web.
Carlvik, I. Integral Transport Theory in One-dimensional Geometries. Sweden.
Carlvik, I. 1966. "Integral Transport Theory in One-dimensional Geometries." Sweden.
@misc{etde_20949510,
title = {Integral Transport Theory in One-dimensional Geometries}
author = {Carlvik, I}
abstractNote = {A method called DIT (Discrete Integral Transport) has been developed for the numerical solution of the transport equation in one-dimensional systems. The characteristic features of the method are Gaussian integration over the coordinate as described by Kobayashi and Nishihara, and a particular scheme for the calculation of matrix elements in annular and spherical geometry that has been used for collision probabilities in earlier Flurig programmes. The paper gives a general theory including such things as anisotropic scattering and multi-pole fluxes, and it gives a brief description of the Flurig scheme. Annular geometry is treated in some detail, and corresponding formulae are given for spherical and plane geometry. There are many similarities between DIT and the method of collision probabilities. DIT is in many cases faster, because for a certain accuracy in the fluxes DIT often needs fewer space points than the method of collision probabilities needs regions. Several computer codes using DIT, both one-group and multigroup, have been written. It is anticipated that experience gained in calculations with these codes will be reported in another paper.}
place = {Sweden}
year = {1966}
month = {Jun}
}