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A coarse-mesh nodal method-diffusive-mesh finite difference method

Conference ·
OSTI ID:10146174
Modern nodal methods have been successfully used for conventional light water reactor core analyses where the homogenized, node average cross sections (XSs) and the flux discontinuity factors (DFs) based on equivalence theory can reliably predict core behavior. For other types of cores and other geometries characterized by tightly-coupled, heterogeneous core configurations, the intranodal flux shapes obtained from a homogenized nodal problem may not accurately portray steep flux gradients near fuel assembly interfaces or various reactivity control elements. This may require extreme values of DFs (either very large, very small, or even negative) to achieve a desired solution accuracy. Extreme values of DFs, however, can disrupt the convergence of the iterative methods used to solve for the node average fluxes, and can lead to a difficulty in interpolating adjacent DF values. Several attempts to remedy the problem have been made, but nothing has been satisfactory. A new coarse-mesh nodal scheme called the Diffusive-Mesh Finite Difference (DMFD) technique, as contrasted with the coarse-mesh finite difference (CMFD) technique, has been developed to resolve this problem. This new technique and the development of a few-group, multidimensional kinetics computer program are described in this paper.
Research Organization:
Westinghouse Electric Corp., West Mifflin, PA (United States). Bettis Atomic Power Lab.
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
AC11-93PN38195
OSTI ID:
10146174
Report Number(s):
WAPD-T--3030; CONF-940602--8; ON: DE94010809
Country of Publication:
United States
Language:
English

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