Home Technology Solution of half space and slab albedo problems for linearly anisotropic scattering with the modified FN method
Article
Licensed
Unlicensed Requires Authentication

Solution of half space and slab albedo problems for linearly anisotropic scattering with the modified FN method

  • D. Türeci and M. Ç. Güleçyüz
Published/Copyright: April 5, 2013
Become an author with De Gruyter Brill

Abstract

In this work, the FN method with a different numerical approximation is used to solve both, half-space and slab albedo problems for a linearly anisotropic scattering kernel. The numerical results are compared with data available in the literature and the accuracy of the method is verified.

Kurzfassung

Halbraum- und Platten-Albedo-Probleme für linear anisotrope Streuung mit Hilfe der modifizierten FN-Methode. In der vorliegenden Arbeit wird die FN-Methode mit einer anderen numerischen Näherung verwendet um Halbraum- und Platten-Albedo-Probleme für linear anisotrope Streukerne zu lösen. Die numerischen Ergebnisse werden verglichen mit den in der Literatur verfügbaren Daten und die Genauigkeit der Methode wird verifiziert.

References

1 Siewert, C. E.; Benoist, P.: The FN method in neutron transport theory, Part I: Theory and applications. Nucl. Sci. Eng.69 (1979) 156Search in Google Scholar

2 Grandjean, P.; Siewert, C. E.: The FN method in neutron transport theory Part II: applications and numerical results. Nucl. Sci. Eng.69 (1979) 161Search in Google Scholar

3 Yildiz, C.: Calculations of the albedo and transmission in a slab with a specified isotropic scattering using FN method. J. Quant. Spectrosc. Radiat. Transfer70 (2001) 37 10.1016/S0022-4073(00)00115-1Search in Google Scholar

4 Tezcan, C.; Yildiz, C.: The criticality problems with the FN method for the FBIS model. Annals of Nuclear Energy13 (1986) 345Search in Google Scholar

5 Güleçyüz, M. Ç.; Tezcan, C.: The FN method for anisotropic scattering in neutron transport theory: The critical slab problem. J. Quant. Spectrosc. Radiat. Transfer56 (1996) 309Search in Google Scholar

6 Kaşkaş, A.; Tezcan, C.: The FN method for anisotropic scattering in neutron transport theory: the half-space problems. J. Quant. Spectrosc. Radiat. Transfer55 (1996) 41Search in Google Scholar

7 Case, K. M.; Zweifel, P. F.: Linear Transport Theory. Addition-Wesley Publishing Company, (1967)Search in Google Scholar

8 Case, K. M.; De Hoffmann, F.; Placzek, G.: Introduction to the theory of neutron diffusion. Vol. 1, Los Alamos Scientific Laboratory, (1953)Search in Google Scholar

9 Kaşkaş, A.; KarahasanogluM.; Güleçyüz, M. Ç.: Neutron transport problems for extremely anisotropic scattering. Kerntechnik71 (2006) 290Search in Google Scholar

10 Kavenoky, A.: Phd. Thesis: La methode CN de resolution de l'equation du transport (1973)Search in Google Scholar

11 Kavenoky, A.: The CN method of solving the transport equation to plane geometry. Nucl. Sci. Eng.65 (1978) 209Search in Google Scholar

12 Bulut, S.; Güleçyüz, M. Ç.: The HN method for slab albedo problem for linearly anisotropic scattering. Kerntechnik70 (2005) 301Search in Google Scholar

Received: 2008-8-18
Published Online: 2013-04-05
Published in Print: 2008-11-01

© 2008, Carl Hanser Verlag, München

Downloaded on 11.12.2025 from https://www.degruyterbrill.com/document/doi/10.3139/124.100573/pdf
Scroll to top button