Published December 1967 | Version v1
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The source iteration method for solving the Boltzmann equation and its application in computer programs

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Description

Automatic translation: In all programs for solving the Boltzmann equation the so-called source iteration method is used. The proof of convergence for this iteration method in the calculation of keff is in a paper by L.N. Ussachoff CProc.Int.Conf.Peacef.Uses of Atom.En., Vol.5, 503 (1955)). This course of evidence is described in detail in the present report. The procedure of Ussachoff is used in all programs for the calculation of and the neutron flux in a modified form.

Abstract (German)

In allen Programmen zur Lösung der Boltzmann-Gleichung wird das sog. Quell-Iterationsverfahren benutzt. Der Konvergenzbeweis für dieses Iterationsverfahren bei der Berechnung von keff ist in einer Arbeit von L.N. Ussachoff CProc.Int.Conf.Peacef.Uses of Atom.En., Vol.5, 503 (1955)) durchgeführt. Dieser Beweisgang ist in dem vorliegenden Bericht ausführlich dargelegt. Das Verfahren von Ussachoff wird in allen Programmen zur Berechnung von und dem Neutronenfluß in modifizierter Form angewendet.

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Additional details

Additional titles

Original title (German)
Die Methode der Quelliteration zur Lösung der Boltzmann-Gleichung und ihre Anwendung in Rechenprogrammen

Publishing Information

Imprint Pagination
51 p.
Report number
KFA-IRG--67-17

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
55059774
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BOLTZMANN EQUATION; COMPUTER CODES; FEDERAL REPUBLIC OF GERMANY; FORSCHUNGSZENTRUM JUELICH; HTGR TYPE REACTORS; NEUTRON FLUX
Descriptors DEC
DEVELOPED COUNTRIES; DIFFERENTIAL EQUATIONS; EQUATIONS; EUROPE; GAS COOLED REACTORS; GERMAN FR ORGANIZATIONS; GRAPHITE MODERATED REACTORS; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; NATIONAL ORGANIZATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATION FLUX; REACTORS; WESTERN EUROPE

Optional Information

Notes
Document from Juelich Preservation Project