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Simulation of early transition in compressible rotating Couette flow: Subharmonic development

机译：Simulation of early transition in compressible rotating Couette flow: Subharmonic development

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The nonlinear temporal evolution of disturbances in compressible flow between infinitely long, concentric cylinders is investigated through direct numerical simulations of the full, three‐dimensional Navier–Stokes and energy equations. Counter‐rotating cylinders separated by wide gaps are considered with supersonic velocities of the inner cylinder. Initially, the primary disturbance grows exponentially, in accordance with linear stability theory. As the disturbances evolve, higher harmonics and subharmonics are generated in a cascading order, eventually reaching a saturation state. Subsequent highly nonlinear stages of the evolution are governed by the interaction of the disturbance modes, particularly the axial subharmonics. Nonlinear evolution of the disturbance field is characterized by the formation of high‐shear layers, extending from the inner cylinder toward the center of the gap in the form of jets similar to the ejection events in transitional and turbulent wall‐bounded shear flows. ©1995 American Institute of Physics. 

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