Solution methods for large systems of linear equations in BACCHUS
Description
The computer programme BACCHUS is used to describe steady state and transient thermal-hydraulic behaviour of a coolant in a fuel element with intact geometry in a fast breeder reactor. In such computer programmes generally large systems of linear equations with sparse matrices of coefficients, resulting from discretization of coolant conservation equations, must be solved thousands of times giving rise to large demands of main storage and CPU time. Direct and iterative solution methods of the systems of linear equations, available in BACCHUS, are described, giving theoretical details and experience with their use in the programme. Besides use of a method of lines, a Runge-Kutta-method, for solution of the partial differential equation is outlined. (orig.)
Availability note (English)
MF available from INIS under the Report Number.Abstract (German)
Das Computerprogramm BACCHUS wird zur Beschreibung stationaerer und transienter thermohydraulischer Kuehlmittelzustaende in Brennelementen mit intakter Geometrie fuer Schnelle Brueter benutzt. In solchen Computerprogrammen werden normalerweise viele tausendmal grosse lineare Gleichungssysteme mit schwach besetzten Koeffizientenmatrizen geloest, die sich aus der Diskretisierung der Erhaltungsgleichungen fuer das Kuehlmittel ergeben. Deshalb werden viel Speicherplatz und lange Rechenzeiten benoetigt. Direkte und iterative Loesungsmethoden fuer diese linearen Gleichungssysteme, die in BACCHUS verfuegbar sind, werden beschrieben. Dabei werden theoretische Einzelheiten und Erfahrungen aus ihrer Benutzung im Programm genannt. Ausserdem wird die Benutzung einer Linienmethode, eines Runge-Kutta-Verfahrens, zur Loesung der partiellen Differentialgleichungen dargelegt. (orig.)
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Additional details
Publishing Information
- Imprint Pagination
- 65 p.
- ISSN
- 0303-4003
- Report number
- KFK--5120
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 25018261
- Subject category
- S42: ENGINEERING;
- Descriptors DEI
- B CODES; COMPUTERIZED SIMULATION; EIGENVALUES; FLUID FLOW; FUEL ELEMENTS; GEOMETRY; HYDRAULICS; LINEAR PROGRAMMING; MATRICES; POISSON EQUATION; RUNGE-KUTTA METHOD; THERMODYNAMICS
- Descriptors DEC
- COMPUTER CODES; DIFFERENTIAL EQUATIONS; EQUATIONS; INTERPOLATION; MATHEMATICS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; REACTOR COMPONENTS; SIMULATION