A Bilinear Formulation for Spatial Cross-Section Averaging
- 1 March 1973
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 50 (3) , 220-228
- https://doi.org/10.13182/nse73-a28975
Abstract
The bilinear method of cell averaging of the neutron cross sections developed by Nicholson from the variational principle has been explained and supported by a perturbation theory derivation. By introducing further approximations, a form of the method is derived which involves only the scalar fluxes and adjoints and the currents. The scalar form differs from that used previously by others. A physical explanation is given for the flux gradient term which leads to a pseudoabsorption effect.Keywords
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