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Latest News
NRC updating GEIS rule for new nuclear technology
The Nuclear Regulatory Agency is issuing a proposed generic environmental impact statement (GEIS) for use in reviewing applications for new nuclear reactors.
In an April 17 memo, NRC secretary Carrie Safford wrote that the commission approved NRC staff’s recommendation to publish in the Federal Register a proposed rule amending 10 CFR Part 51, “Environmental Protection Regulations for Domestic Licensing and Related Regulatory Functions.”
B. D. Ganapol
Nuclear Science and Engineering | Volume 180 | Number 2 | June 2015 | Pages 224-246
Technical Paper | doi.org/10.13182/NSE14-55
Articles are hosted by Taylor and Francis Online.
In 1960, Ken Case published his seminal work on the singular eigenfunction expansion for the Green’s function of the monoenergetic neutron transport equation with isotropic scattering. Previously, the solution had been found by Fourier transform as pole and branch cut contributions. It was apparent the two solutions were equivalent; however, showing equivalence for general anisotropic scattering was an unresolved challenge—until now. The motivation for revisiting the Green’s function solution is to resolve this issue by constructing a moments solution through analytical recurrence and application of Christoffel-Darboux formulas. While nothing more than Case’s singular eigenfunction expansion will result, the approach is new and follows Case’s original reasoning in applying separation of variables common to partial differential equations to solve the transport equation; that is, an equivalence to the singular eigenfunction expansion by Fourier transforms should indeed exist.