Abstract
The classical form of normal mode for the Tollmien-Schlichting wave can be generalized by taking into account the weak streamwise evolution of a steady boundary layer flow. Furthermore, the corresponding stability equations can be parabolized in the streamwise direction which leads to a simple marching procedure for the numerical resolution. This approach, called PSE, has the great advantage of allowing non linear models. For an incompressible flow and a two-dimensional mean flow, some results are given hereafter and compared with experiments, secondary instability theory and direct numerical simulations.
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References
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© 1994 Springer-Verlag
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Airiau, C., Casalis, G. (1994). Weakly non linear instability of the laminar boundary layer calculated by a parabolic system of equations. In: Bois, PA., Dériat, E., Gatignol, R., Rigolot, A. (eds) Asymptotic Modelling in Fluid Mechanics. Lecture Notes in Physics, vol 442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59414-0_59
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DOI: https://doi.org/10.1007/3-540-59414-0_59
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