Two-group Neutron-transport Theory: Half-range Orthogonality, Normalization Integrals, Applications and Computations
نویسنده
چکیده
Abstract-A half-range orthogonality theorem concerning the established elementary solutions of the two-group neutron transport equation for isotropic scattering and plane geometry is proved. The orthogonality relations are based on a Chandrasekhar-type H-matrix, and all necessary normalization integrals are evaluated so that the desired expansion coefficients may be expressed concisely in terms of inner products. The half-range orthogonality theorem is used to construct tractable solutions to typical half-space problems. In addition, the required H-matrix is calculated to benchmark accuracy, and explicit results for several quantities of interest are reported for the Milne, albedo and constant-source problems.
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