TWO-LEVEL MULTIGRID PRECONDITIONING OF A NEUTRON NOISE DIFFUSION SOLVER
Paper in proceedings, 2019

This paper presents the utilization of a two-level multigrid preconditioner for the acceleration of a two-energy-group neutron noise diffusion solver for fine grid applications. The highly localized nature of most neutron noise sources requires the fine discretization of the spatial domain leading to large systems of algebraic equations. These systems are solved with iterative methods whose performances are usually determined by the accompanying preconditioners. This work applies a two-level multigrid approach aiming to enhance the convergence behavior of the GMRES iterative linear solver. The results show that the two-level scheme improves significantly the performance of GMRES in the solution of two problems. In particular, it outperforms two general-purpose alternative acceleration methods, i.e. ILU(0) and ILUC.

GMRES

preconditioning

multigrid

neutron noise

Author

Antonios Mylonakis

Chalmers, Physics, Subatomic and Plasma Physics

Paolo Vinai

Chalmers, Physics, Subatomic and Plasma Physics

Christophe Demaziere

Chalmers, Physics, Subatomic and Plasma Physics

Proceedings of M&C 2019

1208-1217

The International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engienering - M&C 2019
Portland, USA,

Core monitoring techniques and experimental validation and demonstration (CORTEX)

European Commission (Horizon 2020), 2017-09-01 -- 2021-08-31.

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Computational Mathematics

Other Engineering and Technologies not elsewhere specified

Other Physics Topics

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9/2/2019 1