Half-range moment method for solution of the transport equation in a spherically symmetric geometry

Computer Science – Numerical Analysis

Scientific paper

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Moments, Radiative Transfer, Transport Theory, Boundary Conditions, Boundary Value Problems, Differential Geometry, Neutrons, Numerical Analysis, Phonons, Spheres, Symmetrical Bodies

Scientific paper

A half-range moment method is presented for solving, in various orders of approximation, a multigroup transport equation subject to generalized boundary conditions in a spherically symmetric geometry. The results for the plane-parallel geometry are obtainable from the present analysis as a special case. The equations and the boundary conditions considered are sufficiently general to characterize a variety of problems in radiative transfer, neutron transport and phonon transport provided various coefficients appearing in the equations are properly specified.

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