Employing the stack disk method in the louvered-wall configuration described in the Appendix, the initial coordinates of the disks' center and the filter boundary were defined. The flow pattern histories of granular solids, velocity field and development of quasi-stagnant zones close to the louvered walls of three kinds of two-dimensional (2D) symmetrical moving granular filter beds and 2D hybrid moving granular filter beds were studied numerically. The discrete element method was used in this study. The numerical results reported here and experimental results provide fundamental and important information for designing moving granular bed for high-temperature flue gas dean-up filters.