Space-time Flux Synthesis Methods for the Approximate Solution of Time-dependent Boltzmann Neutron Transport Equation PDF Download
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Author: V. Luco
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Category : Neutron flux
Languages : en
Pages : 42
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Author: V. Luco
Publisher:
ISBN:
Category : Neutron flux
Languages : en
Pages : 42
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Author:
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Category : Nuclear energy
Languages : en
Pages : 912
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Category : Aeronautics
Languages : en
Pages : 1508
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Category : Government publications
Languages : en
Pages : 1016
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Author:
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Category : Nuclear energy
Languages : en
Pages : 1162
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Author: Eugene Wenceslaus Skluzacek
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Category : Integral equations
Languages : en
Pages : 77
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The calculation of neutron flux distribution and growth rate for small, spherically symmetric systems usually requires extensive computing time on the largest machines. To minimize computing time, a compromise between the simplicity of diffusion theory and the accuracy of transport theory is needed. The Serber-Wilson method, Feynman's method, and early flux synthesis methods are used as the foundation for integral equation synthesis (IES) which is an approximate, numerical technique for obtaining the spatial and energy neutron flux distributions in multiplying systems. In IES, the integral form of the neutron transport equation is specialized to spatial dependence only, and then solved numerically for the two lowest order eigenfunctions. Similar specialization to energy dependence only yields a second set of trial eigenfunctions. Using standard perturbation methods, the two sets of trial eigenfunctions are synthesized into a single, two-dimensional solution. The IES technique was used to calculate the flux and multiplication factor, k, of the critical plutonium sphere, Jezebel. Results for k agreed to within 0.01% of published values, whereas the spatial flux, when normalized at the center, agreed to within 8% at the outer assembly boundary. The Jezebel calculation using IES required about 90 seconds CPU time on an IBM 360/75. Highly sophisticated codes require approximately ten minutes of CDC 7600 CPU time to compute the Jezebel flux and growth rate. (Author).
Author:
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Category : Neutron transport theory
Languages : en
Pages : 188
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Author:
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Category : Science
Languages : en
Pages : 844
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Author:
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ISBN:
Category : Science
Languages : en
Pages : 700
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Category : Government reports announcements & index
Languages : en
Pages : 1064
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