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Newest Russian icebreaker ready to hit the ice
The Russian nuclear-powered icebreaker Arktika. Photo: Rosatom
The Arktika, Russia’s latest nuclear-powered icebreaker, sailed from the Baltic Shipyard in St. Petersburg last week, bound for the Murmansk seaport. The voyage is scheduled to take approximately two weeks, during which time the vessel will be tested “in ice conditions,” according to Rosatom, Russia’s state-owned atomic energy corporation.
Travis J. Trahan, Edward W. Larsen
Nuclear Science and Engineering | Volume 185 | Number 1 | January 2017 | Pages 1-35
Technical Paper | dx.doi.org/10.13182/NSE16-27
Articles are hosted by Taylor and Francis Online.
In this work, we derive and test variational discontinuity factors (DFs) for the asymptotic homogenized diffusion equation. We begin with a functional for optimally estimating the reactor multiplication factor, then introduce asymptotic expressions for the forward and adjoint angular fluxes, and finally require that all first-order error terms vanish. In this way, the reactor multiplication factor can be calculated with second-order error. The analysis leads to (1) an alternate derivation of the asymptotic homogenized diffusion equation, (2) variational boundary conditions for large periodic systems, and (3) variational DFs to be applied between adjacent periodic regions (e.g., fuel assemblies). Numerical tests show that applying the variational DFs to the asymptotic homogenized diffusion equation yields the most accurate estimates of the reactor multiplication factor compared to other DFs for a wide range of problems. However, the resulting assembly powers are less accurate than those obtained using other DFs for many realistic problems.