Iterative methods for solving space-time one dimensional multigroup diffusion equations. (22nd December 2009)

• Record Type: Journal Article
• Authors: Yulianti, Y.; Su'ud, Z.; Waris, A.; Khotimah, S.N.
• Is Part Of: International journal of nuclear energy, science and technology. Volume 5:Number 2(2010)
• Page Start: 114
• Page End: 126
• Publication Date: 2009-12-22
• Subjects: iterative method -- successive overrelaxation -- SOR -- successive-line overrelaxation -- SLOR -- alternating direction implicit -- ADI -- space-time diffusion equations -- multigroup diffusion equations -- mathematical modelling -- reactor behaviour -- nuclear reactors -- nuclear energy -- nuclear power -- nuclear accidents; Nuclear energy -- Periodicals; 621.4805
• Languages: English
• ISSNs: 1741-6361

Abstract

The numerical methods of Successive Overrelaxation (SOR), Successive-Line Overrelaxation (SLOR) and Alternating Direction Implicit (ADI) are used in this research to solve space-time one-dimensional diffusion equations. The results of this research have been compared with the ANL-Benchmark Problem BSS-6-A2. In general, the results are in agreement with the Argonne National Laboratory Benchmark Source Situation (BSS-6-A2). However, there is very little difference between SOR and ANL-BSS-6-A2 because of inner iterations in the SOR method. This research shows that the SLOR and ADI methods are more accurate and more efficient than the SOR method in solving space-time diffusion equations. SLOR is the most efficient in the case of a big number of mesh elements; however, the ADI method is the most efficient in the case of a small number of mesh elements.