Numerical simulation of nonlinear interactions of supersonic instability modes in a high-speed mixing layer

The non-linear development of the slow and fast supersonic instabilities and their mutual interactions are studied in the mixing layer at the convective Mach number Mc=4 with the numerical simulation. Spatial evolution of the instability is considered. The unstable waves are excited at the inflow bo...

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Bibliographic Details
Main Authors: Khotyanovsky, Dmitry, Kudryavtsev, Alexey
Format: Conference Proceeding
Language:eng
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Summary:The non-linear development of the slow and fast supersonic instabilities and their mutual interactions are studied in the mixing layer at the convective Mach number Mc=4 with the numerical simulation. Spatial evolution of the instability is considered. The unstable waves are excited at the inflow boundary in the form of linear stability eigenfunctions. The simulation results show that the disturbance of the slow mode grows rapidly at the initial stage and reaches a nonlinear development regime with the formation of vortex structures in the form of curls in the lower critical layer. The development of the fast-mode disturbance at the initial stage is much slower. The disturbance gradually reaches the regime of nonlinear growth with the formation of elongated vortex structures in the upper critical layer. In both cases, intensive radiation of waves in the external streams is observed.
ISSN:0094-243X
1551-7616