The slab albedo and criticality problem for the quadratic scattering kernel with the HN method
-
R. G. Türeci
Abstract
The one speed, time independent neutron transport equation for slab geometry with quadratic anisotropic scattering kernel is considered. Albedo, transmission factor and criticality thickness are calculated by the HN method. The numerical results obtained are listed for different selected parameters. It is shown that the method is concise and leads to fast converging numerical results.
Kurzfassung
Das Albedo- und Kritikalitätsproblem für den quadratischen Streukern mit Hilfe der HN Methode. Die Eingruppen-, zeitunabhängige Neutronentransportgleichung für Plattengeometrie mit quadratischem anisotropen Streukern wurde betrachtet. Albedo, Transmissionsfaktor und Kritikalitätsdicke wurden mit Hilfe der HN Methode berechnet. Die numerischen Ergebnisse werden für verschiedene ausgewählte Parameter in tabellarischer Form vorgestellt. Es wird gezeigt, dass die Methode präzise ist und zu schnell konvergierenden numerischen Ergebnissen führt.
References
1 Mika, J.: Neutron transport with anisotropic scattering. Nucl. Sci. Eng.11 (1961) 415Search in Google Scholar
2 Case, K. M.; Zweifel, P. F.: Linear Transport Theory. Massachusetts: Addition-Wesley (1967)Search in Google Scholar
3 Kavenoky, A.: The CN Method of Solving the Transport Equation: Application to Plane Geometry. Nucl. Sci. Eng65 (1978) 209Search in Google Scholar
4 Kavenoky, A.: Nucl. Sci. Eng65 (1978) 514Search in Google Scholar
5 Siewert, C. E.; BenoistP.: 1979Nucl. Sci. Eng69156Search in Google Scholar
6 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
7 Tezcan, C.; Kaskas, A.; Güleçyüz, M. Ç.: The HN method for solving linear transport equation: theory and applications. JQSRT78 (2003) 243Search in Google Scholar
8 Bulut, S.; Güleçyüz, M. Ç.: Kerntechnik70 (2005) No: 5–630110.3139/124.100260Search in Google Scholar
9 Türeci, R. G.; GüleçyüzM. Ç.; Tezcan, C.: H–N solutions of the time dependent linear neutron transport equation for a slab and a sphere. Kerntechnik72 (2007) No: 1–26610.3139/124.100320Search in Google Scholar
10 Tezcan, C.; Güleçyüz, M. Ç.; Türeci, R. G.; Kaskas, A.: The HN method for half-space albedo and constant source problem for isotropic and anisotropic scattering kernels. JQSRT103 (2007) 611Search in Google Scholar
11 Türeci, R. G.; Güleçyüz, M. Ç.; Kaskas, A.; Tezcan, C.: Application of the HN method to the critical slab problem for reflecting boundary conditions. JQSRT88 (2004) 499Search in Google Scholar
12 Türeci, R. G.; Türeci, D.: Time dependent albedo problem for quadratic anisotropic scattering. Kerntechnik72 (2007) No: 1–25910.3139/124.100319Search in Google Scholar
13 Carlson, B. G.; Bell, G. I.: Int. Con5 Peaceful Uses Atomic Energy16 (1958) 535Search in Google Scholar
14 Kaskas, A.; Tezcan, C.; Güleçyüz, M. Ç.: 2000JQSRT6651910.1016/S0022-4073(99)00180-6Search in Google Scholar
15 Atalay, M. A.: Ann. of Nucl. En.23 (1996) 18310.1016/0306-4549(95)00024-7Search in Google Scholar
© 2008, Carl Hanser Verlag, München
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Application of the HN method to radiative heat transfer for a non-conservative slab
- Application of the spectral Green's function method for numerically solving discrete ordinates problems in cylindrical geometry
- Chebyshev polynomial (TN) approximation to neutron transport theory and application to the critical slab problem
- Spherical albedo problem for isotropic scattering
- The slab albedo and criticality problem for the quadratic scattering kernel with the HN method
- An analytical solution for the time-dependent SN transport equation in a slab
- Deterministic calculation of grey Dancoff factors in cluster cells with cylindrical outer boundaries
- New calculations of excitation functions of some positron emitting and single photon emitting radioisotopes
- Prediction of the time-dependent failure rate for normally operating components taking into account the operational history
- Assessment of FEMAXI and TESPA-ROD codes for modelling of BDBA in RBMK-1500
- A study on the neutronic performance of the ARIES-RS fusion reactor with various coolants bearing nuclear fuel
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Application of the HN method to radiative heat transfer for a non-conservative slab
- Application of the spectral Green's function method for numerically solving discrete ordinates problems in cylindrical geometry
- Chebyshev polynomial (TN) approximation to neutron transport theory and application to the critical slab problem
- Spherical albedo problem for isotropic scattering
- The slab albedo and criticality problem for the quadratic scattering kernel with the HN method
- An analytical solution for the time-dependent SN transport equation in a slab
- Deterministic calculation of grey Dancoff factors in cluster cells with cylindrical outer boundaries
- New calculations of excitation functions of some positron emitting and single photon emitting radioisotopes
- Prediction of the time-dependent failure rate for normally operating components taking into account the operational history
- Assessment of FEMAXI and TESPA-ROD codes for modelling of BDBA in RBMK-1500
- A study on the neutronic performance of the ARIES-RS fusion reactor with various coolants bearing nuclear fuel
