Direct simulation of transition in Stokes boundary layers

Numerical simulations of the Stokes boundary layer over a three‐dimensional wavy wall are performed in order to investigate the role played by infinitesimal wall imperfections in triggering transition to turbulence. Our results show flow patterns qualitatively similar to those experimentally detected. In particular the laminar, disturbed‐laminar and intermittent turbulent regimes are recovered. The characteristics of the above flow regimes are analyzed.

[1]  Debra Spinks,et al.  Annual Research Briefs , 1997 .

[2]  P. Blondeaux,et al.  Wall imperfections as a triggering mechanism for Stokes-layer transition , 1994, Journal of Fluid Mechanics.

[3]  Xuesong Wu.  The nonlinear evolution of high-frequency resonant-triad waves in an oscillatory Stokes layer at high Reynolds number , 1992, Journal of Fluid Mechanics.

[4]  Paolo Blondeaux,et al.  Sand ripples under sea waves Part 3. Brick-pattern ripple formation , 1992, Journal of Fluid Mechanics.

[5]  R. Kamm,et al.  An investigation of transition to turbulence in bounded oscillatory Stokes flows Part 2. Numerical simulations , 1991, Journal of Fluid Mechanics.

[6]  J. Grotberg,et al.  Experiments on transition to turbulence in oscillatory pipe flow , 1991, Journal of Fluid Mechanics.

[7]  P. Blondeaux.  Sand ripples under sea waves Part 1. Ripple formation , 1990, Journal of Fluid Mechanics.

[8]  Paolo Orlandi.  A numerical method for direct simulation of turbulence in complex geometries , 1990 .

[9]  Philippe R. Spalart,et al.  Direct simulation of a turbulent oscillating boundary layer , 1989 .

[10]  P. Hall.  The linear stability of flat Stokes layers , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[11]  M. Hino,et al.  Experiments on transition to turbulence in an oscillatory pipe flow , 1976, Journal of Fluid Mechanics.

[12]  P. Merkli,et al.  Transition to turbulence in oscillating pipe flow , 1975, Journal of Fluid Mechanics.

[13]  S. I. Sergeev.  Fluid oscillations in pipes at moderate Reynolds numbers , 1966 .