Thin Regions In Diffusion Theory Calculations
- 1 February 1958
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 3 (2) , 186-200
- https://doi.org/10.13182/nse58-a25460
Abstract
A method for determining effective cross sections for geometrically thin absorbing regions in multigroup calculations is described. The effective absorption cross section in multigroup calculations provides a smooth transition from the usual diffusion theory cross section for low absorption slabs to the λtr extrapolated end-point condition for black slabs. In effect, the average flux between mesh points of the difference equation grid is related to the fluxes at the mesh points. Self-shielding effects are accounted for by material cross-section rather than difference equation modification. Application of the theory to lattice calculations is discussed, and comparisons are made with other methods for limiting cases.Keywords
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