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Two-Dimensional Nonlinear Saturation Behaviour of Instability Waves in a Boundary Layer at Mach 5

  • N. A. Adams
  • L. Kleiser

Summary

The two-dimensional nonlinear evolution of a second-mode instability wave in a flat plate boundary layer at a free-stream Mach number of M = 5 is investigated by direct numerical simulation. An explicit spectral/finite-difference scheme employing the temporal model is used. A nonlinear saturation process is found, during which initially a weak viscous shock develops near the wall. A comparison of the numerical result obtained in the shock region with a one-dimensional analytic weak-shock solution is made and a good agreement of the shock-normal velocity distribution and shock thickness is found. The nonlinear saturation is characterized by a cascade of states with alternating high and low energy levels of the higher Fourier-modes. The system evolves on a slow time scale towards a steady state which appears to be different from the undisturbed laminar state.

Keywords

Direct Numerical Simulation Spanwise Direction Fourier Mode Secondary Instability Nonlinear Saturation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • N. A. Adams
    • 1
  • L. Kleiser
    • 1
  1. 1.Institute for Theoretical Fluid MechanicsDLRBunsenstraße 10GöttingenGermany

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