2021 Volume 2021 Pages 20210015
Compact and boundary compact schemes are often combined under non-periodic boundary conditions to simulate numerically the fluid flow near a wall. Because compact schemes are implicit schemes, computational results are influenced by the choice of boundary compact schemes. Thus, the grid convergence of a combination of compact and boundary compact schemes should be considered. This study reveals that selecting boundary compact schemes significantly affects the relationship between grid spacing and computational error for dozens of nodes close to boundaries when the same compact scheme is used throughout a region, excluding near boundaries. This study also reveals that using explicit high order finite difference schemes near boundary nodes is effective at improving grid convergence.
