Abstract
Nodal expansion method (NEM) is a typical nodal method in solving neutron diffusion equation in coarse mesh spatial discretization. NEM has been extended to cylindrical geometry in previous studies. Cylindrical NEM can be realized by different forms, where the variables in the nodal coupling equations are classified as net current, flux or partial current at the nodal surface, respectively. The three types of coupling forms of NEM have been implemented in PANGU code for the high temperature gas-cooled reactor (HTGR) physics analysis. This paper derives the three types of coupling forms of NEM, and analyzes their performance in solving the HTGR model containing void region.
Highlights
Nodal expansion method (NEM) is one of typical nodal methods [1] in solving neutron diffusion equation in coarse mesh spatial discretization
The first type is the NEM with surface net current coupling (NEM-SNC), where the nodal surface net current is chosen as the coupling variable
The NEM with surface flux coupling (NEM-SF) and NEM with surface partial current coupling (NEM-SPC) are included into PANGU code, to improve the computation performance in the calculation of the models, containing void regions
Summary
Nodal expansion method (NEM) is one of typical nodal methods [1] in solving neutron diffusion equation in coarse mesh spatial discretization. There are three types of NEM forms, where the difference lies in the variables of the nodal coupling equations. The first type is the NEM with surface net current coupling (NEM-SNC), where the nodal surface net current is chosen as the coupling variable. The third type is the NEM with surface partial current (NEM-SPC) coupling, which uses the node surface partial current as the coupling variable. NEM-SNC is chosen as the coupling form of the NEM solver. The NEM-SF and NEM-SPC are included into PANGU code, to improve the computation performance in the calculation of the models, containing void regions.
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