Modeling mode interactions in boundary layer flows via the Parabolized Floquet Equations

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Ran, Wei; Zare, Armin; Hack, M. J. Philipp; Jovanović, Mihailo R.;

In this paper, we develop a model based on successive linearization to study interactions between different modes in boundary layer flows. Our method consists of two steps. First, we augment the Blasius boundary layer profile with a disturbance field resulting from the ... View more
  • References (51)
    51 references, page 1 of 6

    [1] M. V. Morkovin, E. Reshotko, and T. Herbert, \Transition in open ow systems{a reassessment," Bull. Am. Phys. Soc. 39, 1882 (1994).

    [2] W. S. Saric, H. L. Reed, and E. J. Kerschen, \Boundary-layer receptivity to freestream disturbances," Annu. Rev. Fluid Mech. 34, 291 (2002).

    [3] J. Kim and T. R. Bewley, \A linear systems approach to ow control," Annu. Rev. Fluid Mech. 39, 383 (2007).

    [4] M. M. Rai and P. Moin, \Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer," J. Comput. Phys. 109, 169 (1993).

    [5] X. Wu and P. Moin, \Direct numerical simulation of turbulence in a nominally zero-pressure-gradient at-plate boundary layer," J. Fluid Mech. 630, 5 (2009).

    [6] T. Sayadi, C. W. Hamman, and P. Moin, \Direct numerical simulation of complete H-type and K-type transitions with implications for the dynamics of turbulent boundary layers," J. Fluid Mech. 724, 480 (2013).

    [7] B. R. Noack, M. Morzynski, and G. Tadmor, Reduced-order modelling for ow control, CISM Courses and Lectures, Vol. 528 (Springer, 2011).

    [8] B. F. Farrell and P. J. Ioannou, \Stochastic forcing of the linearized Navier-Stokes equations," Phys. Fluids A 5, 2600 (1993).

    [9] B. Bamieh and M. Dahleh, \Energy ampli cation in channel ows with stochastic excitation," Phys. Fluids 13, 3258 (2001).

    [10] M. R. Jovanovic, Modeling, analysis, and control of spatially distributed systems, Ph.D. thesis, University of California, Santa Barbara (2004).

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