Nuclear Science and Engineering / Volume 20 / Number 3 / November 1964 / Pages 324-330
Technical Paper / dx.doi.org/10.13182/NSE64-A19577
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The even-order spherical-harmonics theory for cylindrical geometry is developed along the same lines previously utilized for slab geometry. In particular an ‘effective boundary moment’ is found such that the common spherical-harmonics approach can be straightforwardly applied. The disadvantage-factor problem for a cylindrical unit cell is utilized to show the inherent countervergence of the odd- and even-order results when utilized in this manner. An extrapolation procedure is suggested to overcome the difficulty of divergence for small unit-cell sizes.