IBIND : nokta çevrimsel chebyshev yarı iteratif difüzyon kodu
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Date
1992-01
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Türkiye Atom Enerjisi Kurumu, Çekmece Nükleer Araştırma ve Eğitim Merkezi
Abstract
Nokta ve satır bazında overrelaksasyon ile difüzyon denkleminin iç iterasyon çözümü hızlandırılmaktadır. Grup difüzyon denkleminin katsayılar matrisinin çevrimsel özelliğinden faydalanarak iç iterasyonda Chebyshev Yarı iteratif tekniği de kullanılabilir. Eğer matris difüzyon denklemi daha küçük boyutlardaki küple olmıyan denklemlere dönüştürülürse bu denklemlerin çevrimsel Chebyshev yarı iteratif tekniklerle daha hızlı çözümü mümkün olmaktadır.
Bu raporda bildirilen IBIND kodu yarı iteratif tekniklerin en basiti olan nokta çevrimsel Chebyshev yarı iteratif tekniğini orijinal denklem takımına uygulamaktadır. Yarı iteratif tekniklerin teori ve tatbikatında tecrübe kazanılmış olup elde edilen neticeler nokta ardışık overrelaksasyon (hızlandırılmış Liebman) kodu IBD sonuçları ile karşılaştırılmıştır, Kod VAX 11/750 de test edilmiştir.
Multigroup neutron diffusion equations can be solved by point and line accelaration techniques of the block overrelaxation methodology. Making use of cyclic nature of the coefficient matrix of group diffusion equations, Chebyshev semi-iterative techniques can also be used for the inner iteration solution. If matrix diffusion equation is reduced to a set of uncoupled matrix equations with smaller dimensions, then, Chebyshev semi-iterative method can be applied to these cyclically reduced equations in order to get the solution faster than overrelaxation techniques. The code IBIND described in this report utilizes point Chebyshev semi iterative technique, the simplest of its kind, applied to the original equations. Experience is gained for the theory and application of semi iterative techniques. It is compared with the IBD code, a point overrelaxation (or, accelerated Liebman) code. IBIND is tested on VAX 11/750 machine.
Multigroup neutron diffusion equations can be solved by point and line accelaration techniques of the block overrelaxation methodology. Making use of cyclic nature of the coefficient matrix of group diffusion equations, Chebyshev semi-iterative techniques can also be used for the inner iteration solution. If matrix diffusion equation is reduced to a set of uncoupled matrix equations with smaller dimensions, then, Chebyshev semi-iterative method can be applied to these cyclically reduced equations in order to get the solution faster than overrelaxation techniques. The code IBIND described in this report utilizes point Chebyshev semi iterative technique, the simplest of its kind, applied to the original equations. Experience is gained for the theory and application of semi iterative techniques. It is compared with the IBD code, a point overrelaxation (or, accelerated Liebman) code. IBIND is tested on VAX 11/750 machine.
Description
TENMAK D.N.. 7862
Keywords
Chebyshev semi-iterative techniques, Chebyshev Yarı iteratif tekniği, Accelerated Liebman code, Hızlandırılmış Liebman, Overrelaxation, Overrelaksasyon, IBIND, Kod VAX 11/750
Citation
Adalıoğlu, U. (1993). IBIND : nokta çevrimsel chebyshev yarı iteratif difüzyon kodu. İstanbul : Türkiye Atom Enerjisi Kurumu, Çekmece Nükleer Araştırma ve Eğitim Merkezi.