Second mode interactions in supersonic boundary layersThe nonlinear evolution of a two-dimensional second mode unstable wave in a Mach 4.5 wall-bounded flow is computed by solving the full time-dependent compressible Navier-Stokes equations. A highly accurate solution is obtained using spectral collocation methods. It is shown that departure from linearity first occurs in the critical layer due to the cubic nonlinearities in the momentum equation. This is a direct result of the large density perturbations in this regime. Time evolution studies of the growth rate as a function of normal distance from the plate suggests that the mode is evolving toward a nonlinear saturated state, and that this problem is possibly amenable to standard weakly nonlinear perturbation methods.
Document ID
19910055334
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Erlebacher, Gordon (NASA Langley Research Center Hampton, VA, United States)
Hussaini, M. Y. (NASA Langley Research Center; ICASE Hampton, VA, United States)