Abstract
The cylindrical nodal expansion method (NEM) is promising for improving the efficiency of HTGR whole-core neutronics calculation. In HTGR, there generally exists large void cavity above the pebble-bed core. The traditional cylindrical NEM is formulated by the surface-partial-current (SPC) coupling form, which is unable to solve the problem containing void cavity. Aiming to overcome this problem, this paper proposes three types of improved calculation schemes for cylindrical NEMs to treat the void cavity. The first one is employing a modified SPC coupling form; the second one is employing the surface-net-current (SNC) coupling form combined with advanced matrix solvers; the third one is directly using the surface-flux (SF) coupling form. All of the three types of cylindrical NEM schemes have been developed in PANGU code. Numerical results demonstrate the capability and performance of the improved NEMs in calculating the HTGR containing void cavity.
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