D3D and D3E - two branches of a FORTRAN program for the solution of the stationary three-dimensional multigroup neutron diffusion equations in rectangular, cylindrical and triangular geometries
Description
D3D and D3E, branches of a computer program, solve two- and three-dimensional real and ajoint stationary multigroup neutron diffusion equations by approximating the differential equations by finite difference equations. The discrete grid is a mesh edged one, so that the neutron fluxes are calculated on surfaces separating zones to which different physical conditions apply. Different options allow to treat homogeneous, i.e. eigenvalue problems as well as inhomogeneous, i.e. external source driven problems. The linear algebraic system of the difference equations is solved by the outer and inner iterations method. An outer iteration of the homogeneous problem is the power iteration with the fission source, whereas the outer iteration of the inhomogeneous problem is an iteration with the fission source. Within the process of an outer iteration the group fluxes are determined by inner iterations, either via block overrelaxation or a method of conjugate gradients. (orig./HP)
Availability note (English)
MF available from INIS under the Report Number.Abstract (German)
D3D bzw. D3E, Zweige eines Rechenprogramms, loesen das homogene oder Eigenwertproblem und das inhomogene oder Problem mit aeusserer Quelle der zwei- und dreidimensionalen, realen und adjungierten, stationaeren Multigruppenneutronendiffusionsgleichungen, indem die Differentialgleichungen durch finite Differenzengleichungen approximiert werden. Dabei liegen Gitterpunkte, an denen die Neutronenfluesse berechnet werden, auf Trennflaechen von Bereichen verschiedener physikalischer Bedingungen. Das lineare algebraische Gleichungssystem wird geloest durch die Technik von aeusserer Iteration und inneren Iterationen. Die aeussere Iteration des homogenen Problems ist die Potenziteration mit der Spaltquelle. Innerhalb der aeusseren Iteration werden die Gruppenfluesse durch die inneren Iterationen bestimmt, entweder durch Blockueberrelaxationen oder durch Konjugierte Gradientenverfahren. (orig./HP)
Files
Additional details
Additional titles
- Original title (German)
- D3D und D3E - Zweige eines FORTRAN-Programms zur Loesung der stationaeren dreidimensionalen Multigruppenneutronendiffusionsgleichungen in Rechteck-, Zylinder- und Dreieckgeometrie
Publishing Information
- Imprint Pagination
- 120 p.
- Report number
- KFK--4764
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 22069391
- Subject category
- S22: GENERAL STUDIES OF NUCLEAR REACTORS; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Resource subtype / Literary indicator
- Computer Program Description
- Descriptors DEI
- COMPUTER CODES; COMPUTER PROGRAM DOCUMENTATION; FINITE DIFFERENCE METHOD; FORTRAN; GEOMETRY; MATRICES; MULTIGROUP THEORY; NEUTRON DIFFUSION EQUATION; NEUTRON FLUX; PROGRAMMING; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- ITERATIVE METHODS; MATHEMATICS; NUMERICAL SOLUTION; PROGRAMMING LANGUAGES; RADIATION FLUX; TRANSPORT THEORY