A two group analytical approximation solution for an external source problem without separation of space and time |
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| Authors: | B. Merk,F.P. Weiß |
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| Affiliation: | Institute of Safety Research, Research Center Dresden-Rossendorf, Germany |
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| Abstract: | This work presents the development of analytical approximation solutions for a space–time dependent neutron transport problem in two energy groups for a one dimensional system consisting of a homogenized medium with a localized external source. The approximation solutions are developed using Green’s functions, the influence of the delayed neutrons is not considered. Qualitative results for a given system are analyzed. A detailed comparison of the developed analytical approximation solutions with solutions with one energy group diffusion and P1 equation without separation of space and time is given. |
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| Keywords: | Time dependent neutron diffusion Accelerator driven system Experimental analysis Green&rsquo s function expansion |
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