TY - GEN
T1 - Preventing transition to turbulence using streamwise traveling waves
T2 - Direct numerical simulations
AU - Lieu, Binh K.
AU - Moarref, Rashad
AU - Jovanović, Mihailo R.
PY - 2010
Y1 - 2010
N2 - We use direct numerical simulations of the nonlinear Navier-Stokes (NS) equations to examine the effectiveness of streamwise traveling waves for controlling the onset of turbulence in a channel flow. We highlight the effect of a base flow induced by the streamwise traveling waves on the dynamics of velocity fluctuations and on the net efficiency of control. It is shown that properly designed downstream traveling waves are capable of reducing the fluctuations' kinetic energy and maintaining the laminar flow. In contrast, our results demonstrate that upstream traveling waves promote turbulence even when the uncontrolled flow stays laminar. Our numerical simulations elucidate the predictive power of the theoretical framework developed in a companion paper [1] and suggest that the linearized NS equations with uncertainty serve as an effective control-oriented model for preventing transition.
AB - We use direct numerical simulations of the nonlinear Navier-Stokes (NS) equations to examine the effectiveness of streamwise traveling waves for controlling the onset of turbulence in a channel flow. We highlight the effect of a base flow induced by the streamwise traveling waves on the dynamics of velocity fluctuations and on the net efficiency of control. It is shown that properly designed downstream traveling waves are capable of reducing the fluctuations' kinetic energy and maintaining the laminar flow. In contrast, our results demonstrate that upstream traveling waves promote turbulence even when the uncontrolled flow stays laminar. Our numerical simulations elucidate the predictive power of the theoretical framework developed in a companion paper [1] and suggest that the linearized NS equations with uncertainty serve as an effective control-oriented model for preventing transition.
KW - Direct numerical simulations
KW - Energy amplification
KW - Flow control
KW - Navier- stokes equations
KW - Skin-friction drag coefficient
KW - Transition to turbulence
UR - http://www.scopus.com/inward/record.url?scp=77957800899&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77957800899&partnerID=8YFLogxK
U2 - 10.1109/acc.2010.5530949
DO - 10.1109/acc.2010.5530949
M3 - Conference contribution
AN - SCOPUS:77957800899
SN - 9781424474264
T3 - Proceedings of the 2010 American Control Conference, ACC 2010
SP - 3335
EP - 3340
BT - Proceedings of the 2010 American Control Conference, ACC 2010
PB - IEEE Computer Society
ER -