Exponential function expansion nodal diffusion method

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Abstract

An exponential function expansion nodal diffusion method is proposed to take care of diffusion calculation in unstructured geometry. Transverse integral technique is widely used in nodal method in regular geometry, such as rectangular and hexagonal, while improper in arbitrary triangular geometry because of the mathematical singularity. In this paper, nodal response matrix is derived by expanding detailed nodal flux distribution into a sum of exponential functions, and nodal balance equation can be obtained by strict integral in the polygonal node. Numerical results illustrate that the exponential function expansion nodal method in rectangular and triangular block can solve neutron diffusion equation in regular and irregular geometry.

Original languageEnglish
Title of host publication18th International Conference on Nuclear Engineering, ICONE18
DOIs
StatePublished - 2010
Event18th International Conference on Nuclear Engineering, ICONE18 - Xi'an, China
Duration: 17 May 201021 May 2010

Publication series

NameInternational Conference on Nuclear Engineering, Proceedings, ICONE
Volume2

Conference

Conference18th International Conference on Nuclear Engineering, ICONE18
Country/TerritoryChina
CityXi'an
Period17/05/1021/05/10

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