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Leakage iterative method for solving the three-dimensional neutron diffusion equation

Journal Article · · Nucl. Sci. Eng., v. 58, no. 2, pp. 182-192
OSTI ID:4185254
A new iterative method is proposed for solving the three-dimensional neutron diffusion equation. This method reduces the discretization error in the calculation of neutron leakage from a subregion. In addition, when only one fine- mesh point is located in each subregion, this method becomes the same as a fine- mesh finite-difference approximation method. Therefore, it is easy to compare the results of this method with those of a fine-mesh difference approximation. The computer code for this method can be used for calculating both the collapsed neutron flux and fine-mesh difference approximations. The conditions for the convergence of this iterative technique are introduced as a function of the neutron leakage. (auth)
Research Organization:
Japan Atomic Energy Research Inst., Tokai
NSA Number:
NSA-33-002468
OSTI ID:
4185254
Journal Information:
Nucl. Sci. Eng., v. 58, no. 2, pp. 182-192, Journal Name: Nucl. Sci. Eng., v. 58, no. 2, pp. 182-192; ISSN NSENA
Country of Publication:
United States
Language:
English