Conference paper Open Access

TWO-LEVEL MULTIGRID PRECONDITIONING OF A NEUTRON NOISE DIFFUSION SOLVER

Antonios Mylonakis, Paolo Vinai, and Christophe Demaziere

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.

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