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Two-Group Critical Problems for Slabs and Spheres in Neutron-Transport Theory

J. T. Kriese, C. E. Siewert, Y. Yener

Nuclear Science and Engineering

Volume 50 / Number 1 / January 1973 / Pages 3-9


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The elementary solutions of the two-group neutron-transport equation are used to solve critical problems for finite slabs and spheres. The half-range orthogonality properties of the basic eigenvectors are used, along with the fundamental H -matrix, to reduce the encountered system of singular integral equations to a system of Fredholm-type equations, and these final equations are solved iteratively to yield accurate predictions of the two-group values of the extrapolated endpoint and critical dimensions for a selected set of slabs and spheres.

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