Nuclear reactor kinetics based on hierarchical nodal analysis

Abstract

Review of reactor kinetics -- Numerical methods -- Time integration methods -- Spatial homogenization methods in reactor kinetics -- Non-linear nodal methods in reactor kinetics -- Iterative solution methods -- Hierarchical nodal kinetics -- Time-dependant nodal equivalence theory -- Description of hierarchical nodal kinetics -- Code implementation of hierarchical nodal kinetics -- Numerical al results : static cases -- Reference static calculations -- Number of coarse regions -- Importance of discontinuity factors -- Effect of device positions on equivalence parameters -- Flux error due to the use of reference equivalence parameters -- Interference effect -- Effect of Xenon load on equivalence parameters -- Numerical results : dynamic cases -- Input parameters for hierarchical nodal kinetics -- Comments on numerical results -- Reactor stepback -- MCA insertion -- LOCA.