Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967260 | Journal of Computational Physics | 2017 | 25 Pages |
Abstract
We present theoretical analysis of a nonlinear acceleration method for solving multigroup neutron diffusion problems. This method is formulated with two energy grids that are defined by (i) fine-energy groups structure and (ii) coarse grid with just a single energy group. The coarse-grid equations are derived by averaging of the multigroup diffusion equations over energy. The method uses a nonlinear prolongation operator. We perform stability analysis of iteration algorithms for inhomogeneous (fixed-source) and eigenvalue neutron diffusion problems. To apply Fourier analysis the equations of the method are linearized about solutions of infinite-medium problems. The developed analysis enables us to predict convergence properties of this two-grid method in different types of problems. Numerical results of problems in 2D Cartesian geometry are presented to confirm theoretical predictions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Dmitriy Y. Anistratov, Luke R. Cornejo, Jesse P. Jones,