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Nodal methods for a two-dimensional static multigroup diffusion calculation of nuclear reactors with hexagonal assemblies. (English) Zbl 1184.82019
From authors’ abstract: There variants of a hexagonal nodal method for determining the neutron flux distribution in a nuclear reactor are presented. Their common framework constitutes the few group coarse mesh finite-difference diffusion equations for all nodes inside the core domain. In order to achieve better accuracy without sacrificing efficiency they are corrected by higher-order nodal calculations formulated on pairs of nodes using the transverse integration procedure. This leads to three 1D equations coupled through neutron currents at transverse nodal boundaries. The approximation of the coupling has significant impact on the accuracy of the transverse integration based on nodal methods, and as such receives considerable attention. Three possibilities are discussed that define the variants of the developed nodal method. Once the transverse coupling term is suitably appoximate, the solution of nodal equations is computed semi-analytically by using an efficient node-by-node iterative procedure. The three implementations are compared on the example configuration of a VVER-1000 core.
82D75 Nuclear reactor theory; neutron transport
Full Text: DOI
[1] Chao Y. A., Journal Nucl. Sci. Eng. 121 pp 210– (1995)
[2] Fu X. D., J. Nucl. Sci. Technol. (Tokyo, Jpn.) 39 pp 1015– (2002) · doi:10.1080/18811248.2002.9715289
[3] Palmtag S. P., Advanced Nodal Methods for MOX Fuel Analysis (1997)
[4] Stacey W.M., Nuclear Reactor Physics (2001)
[5] Wachspress E. L., Iterative Solution of Elliptic Systems And Applications to the Neutron Diffusion Equations of Reactor Physics (1966) · Zbl 0161.12203
[6] Wagner M. R., Nuc. Sci. Eng. 103 pp 377– (1989)
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