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A NUMERICAL SOLUTION OF ONE-DIMENSIONAL NEUTRON TRANSPORT EQUATION WITH CHEBYSHEV QUADRATURES

TEK-BOYUTLU NÖTRON TRANSPORT DENKLEMİNİN CHEBYSHEV QUADRARÜRLERİ İLE BİR SAYISAL ÇÖZÜMÜ

Journal Name:

  • Kahramanmaraş Sütçü İmam Üniversitesi Doğa Bilimleri Dergisi

Publication Year:

  • 2001
Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Spektral Green Fonksiyonu (SGF) metodu ve Chebyshev quadratürü kullanılarak tek-guruplu ve tek-boyutlu izotropik saçılmalı dilim-gometride nötron skalar akı- sının sayısal çözümlemesi yapıldı. Metottaki bilinmeyenler hücre-kenarı ve hücre-ortalama açısal akıları olup bunların sayısal değerleri farklı iki quadratür seti kullanılarak elde edilmiştir. Sonuçta, hücre-ortalama skalar akıları için sayısal sonuçlar tablolar halinde verilmiştir.
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Abstract (Original Language): 
The numerical solution of neutron scalar flux for one-group and one dimensional slab-geometry with isotropic scattering is studied by using Chebyshev quadrature sets and Spectral Green’s Function (SGF) method. The unknowns in the method are the cell-edge and cell-average angular fluxes, and numerical values for these quantities are obtained by using two different quadrature sets. Finally, tabulated numerical results of cell-average scalar fluxes are provided.
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REFERENCES

References: 

1. ALCOUFFE R.E. 1977. Nuclear Science and Engineering. 64 : 344-350
2. LARSEN E.W. 1982. Nuclear Science and Engineering, 82 : 47-60
3. DeBARROS R.C., LARSEN E.W. (1990), Nuclear Science and Engineering, 104
: 199-205
4. RIVLIN J.T. 1974. The Chebyshev Polynomials, John Wiley&Sons, Inc. Canada
5. LEWIS E.E., MILLER W.F. 1984, Computational Methods of Neutron Transport,
John Wiley & Sons, New York.
6. STROUD A.H. and SECREST D. (1966), “Gaussian Quadrature Formulas”,
Prentice-Hall Englewood Cliffs, New Jersey

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