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Application of Invariant Embedding to Reactor Physics
Akinao Shimizu,Katsutada Aoki
Limited preview - 2013
albedo angular distribution applicable Bellman Boltzmann Boltzmann equation boundary conditions CALCULATION OF RESPONSE coefficient component rods Compton scattering Compton wavelength computation control rods coth criticality calculations derived diffusion equation diffusion theory dose buildup factors dose transmission eigenvalue Energy albedo energy groups expressed finite difference method fission formula GAMMA RA YS gamma rays given group diffusion homogeneous slab Hyodo incident current incident photons initial thickness internal flux invariant embedding approach invariant embedding calculation isotropic iterative method law of synthesis mean flux mean free paths method of invariant modified transmission function Monte Carlo calculation Monte Carlo method multigroup number of photons NUMERICAL SOLUTIONS obtained ONE-DIMENSIONAL PROBLEM pair production plane radiations reflected photons reflection and transmission reflection function reflector response matrices response matrix method right subassembly semi-infinite medium shown in Fig singly scattered photons slab of thickness slab thickness surface Table time-dependent tion total number TRANSMISSION OF GAMMA TWO-DIMENSIONAL PROBLEM