Abstract: We examine the super compact symmetric finite difference scheme (SCSFD) and compare it with traditional difference methods and compact difference methods. The result shows high efficiency of SCSFD. According to the characteristics of the algorithm, a parallel algorithm named block pipelined method for three-dimensional compressible Navier-Stokes equations using SCSFD is designed and its parallel performance is analysed. Numerical experiments are carried out.

Key words: compressible, multi-scales, super compact symmetric finite difference scheme, parallel algorithm, block pipelined method