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- W79079086 abstract "By Fourier transform techniques the exact solutions of the one-velocity neutron diffusion problem were derived for plane isotropic, plane parallel monodirectional, and plane parallel bidirectional source terms. These exact solutions in terms of Fourier inversion integrals were numerically evaluated upon the Narec to give the angular distribution of the scattered intensity, total scattered intensity, and total intensity. By solving the integrals by contour integration in the complex plane, asymptotic solutions were obtained which are good approximate solutions for deep penetrations and problems with little absorption. Moment method solutions were derived and evaluated to be in good agreement with the exact solutions for symmetric source and intensity functions. Monte Carlo esimates can be obtained that correctiy account for source asymmetries and boundary discontinuities and which can be extended to at least 20 mean free paths utilizing suitable bias techniques such as the exponential transformation. (auth)" @default.
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- W79079086 date "1957-10-21" @default.
- W79079086 modified "2023-09-27" @default.
- W79079086 title "COMPARISON OF SOLUTIONS TO THE ONE-VELOCITY NEUTRON DIFFUSION PROBLEM" @default.
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