Multilevel Second-Moment Methods with Group Decomposition for Multigroup Transport Problems
This work addresses computational efficiency for solving multigroup transport problems, which is important for nuclear engineering and radiation transport, but the improvements appear incremental.
The paper develops multilevel iterative schemes for solving multigroup Boltzmann transport equations, using Second-Moment methods and Anderson acceleration to improve convergence and efficiency. Numerical results demonstrate performance gains.
This paper presents multilevel iterative schemes for solving the multigroup Boltzmann transport equations (BTEs) with parallel calculation of group equations. They are formulated with multigroup and grey low-order equations of the Second-Moment (SM) method. The group high-order BTEs and low-order SM (LOSM) equations are solved in parallel. To further improve convergence and increase computational efficiency of algorithms Anderson acceleration is applied to inner iterations for solving the system of multigroup LOSM equations. Numerical results are presented to demonstrate performance of the multilevel iterative methods.