Three-Dimensional Numerical Simulation of Laminar Turbulent Transition and its Control by Periodic Disturbances
The laminar-turbulent transition process in plane Poiseuille flow is simulated by numerical integration of the three-dimensional time-dependent Navier-Stokes equations using a spectral method. The classical peak-valley splitting mode of secondary instability is considered. Detailed comparison with experiments has demonstrated very satisfactory agreement up to the 1-spike stage. Visualizations of the development of three-dimensional flow structures are presented including timelines of fluid markers. It is found that the A vortex structure appearing in flow visualizations does not consist of a vortex tube as the usual interpretation of the vortex loop concept suggests. A numerical study of transition control by superposition of purely two-dimensional waves shows that efficient control is possible at an early stage of the transition process but fails once significant three-dimensional disturbances are present.
KeywordsVortex Line Vortex Tube Secondary Instability Springer Lecture Note Boundary Layer Transition
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