Efficiency and implementation of alternating direction implicate method for neutron diffusion equation in three-dimensional space

The paper presents algorithm of solving neutron diffusion equation in three-dimensional space based on multiple application of alternating direction implicit method. The point of the method is to reduce solving of multidiagonal systems of equations to solving of few three diagonal systems in iterati...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-11, Vol.1133 (1), p.12050
Main Authors: Pugachev, P A, Sirotkin, A M, Romanenko, V I, Bahdanovich, R B
Format: Article
Language:English
Subjects:
Algorithms
Alternating direction implicit methods
Diffusion
Implicit methods
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Summary:The paper presents algorithm of solving neutron diffusion equation in three-dimensional space based on multiple application of alternating direction implicit method. The point of the method is to reduce solving of multidiagonal systems of equations to solving of few three diagonal systems in iterative processes. Diffusion code CriMR that uses this algorithm implemented for triangular mesh is described. Results of initial tests of the code are also presented (comparison of parameters of three different homogenized cores of BN-600 calculated by CriMR with ones of MCU-PTR).
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1133/1/012050