The Even-Order Spherical-Harmonics Method in Cylindrical Geometry
- 1 November 1964
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 20 (3) , 324-330
- https://doi.org/10.13182/nse64-a19577
Abstract
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.Keywords
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