A New Synthetic Acceleration Technique Based on the Simplified Even-Parity S_N Equations

Abstract

The source iteration method or Richardson method is the most common technique utilized to solve the linear Boltzmann equation. However, this iterative method exhibits slow convergence for problems with optically thick regions and scattering ratio close to unity. Hence, an effective acceleration technique is necessary for achieving a converged solution in a reasonable amount of time. In this paper, we develop a new synthetic acceleration technique based on the simplified even‐parity S_N (SEP‐S_N) equations for the discrete ordinates method (S_N). We have measured the effectiveness of the SEP‐S_N acceleration technique for both fixed‐source and eigenvalue (k‐effective) problems.

Keywords:

• Neutron transport
• sythetic acceleration
• conjugate gradient