Jl. Wu et al., NUMERICAL-ANALYSIS OF SECONDARY INSTABILITIES OF THE INCOMPRESSIBLE BOUNDARY-LAYER FLOW WITH SUCTION, International journal for numerical methods in fluids, 26(7), 1998, pp. 811-835
Based on the Euler-Maclaurin formula, a compact finite difference sche
me is employed to solve a two-point boundary value problem for studyin
g the secondary instabilities of the boundary layer flow. The parametr
ic resonance of unstable waves is explored using the Floquet method. F
or both subharmonic and fundamental modes, two additional Fourier term
s are added in the analysis, and the spatial growth rates are determin
ed. The effect of suction mechanism on the secondary instability waves
is also investigated. From numerical experiments, it is shown that th
e proposed numerical scheme is very promising. (C) 1998 John Wiley & S
ons, Ltd.