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Publications of B. K. Lieu


B. K. Lieu.
Dynamics and control of Newtonian and viscoelastic fluids.
PhD thesis,
University of Minnesota,
2014.
Keyword(s): Drag reduction,
Controlling the onset of turbulence,
Control of turbulent flows,
Flow modeling and control,
NavierStokes equations,
Spatiallyperiodic systems,
Traveling waves,
Vibrational control,
Distributed systems theory,
Computational tools for spatially distributed systems,
Uncertainty quantification in PDEs,
Viscoelastic fluids,
Inputoutput analysis,
Elastic turbulence,
Transition to turbulence,
Worstcase amplification.
[bibtexentry]

V. L. Thomas,
B. K. Lieu,
M. R. Jovanovic,
B. F. Farrell,
P. J. Ioannou,
and D. F. Gayme.
Selfsustaining turbulence in a restricted nonlinear model of plane Couette flow.
Phys. Fluids,
26(10):105112 (17 pages),
October 2014.
Keyword(s): Flow modeling and control,
NavierStokes equations,
Inputoutput analysis,
Energy amplification,
Transition to turbulence.
[bibtexentry]

B. K. Lieu and M. R. Jovanovic.
Computation of frequency responses for linear timeinvariant PDEs on a compact interval.
J. Comput. Phys.,
250:246269,
October 2013.
Keyword(s): Distributed systems theory,
Computational tools for spatially distributed systems,
Uncertainty quantification in PDEs.
[bibtexentry]

B. K. Lieu,
M. R. Jovanovic,
and S. Kumar.
Worstcase amplification of disturbances in inertialess Couette flow of viscoelastic fluids.
J. Fluid Mech.,
723:232263,
May 2013.
Keyword(s): Flow modeling and control,
Viscoelastic fluids,
Inputoutput analysis,
Elastic turbulence,
Transition to turbulence,
Uncertainty quantification in PDEs,
Worstcase amplification.
[bibtexentry]

B. K. Lieu,
R. Moarref,
and M. R. Jovanovic.
Controlling the onset of turbulence by streamwise traveling waves. Part 2: Direct numerical simulations.
J. Fluid Mech.,
663:100119,
November 2010.
Keyword(s): Controlling the onset of turbulence,
Direct numerical simulations,
Energy amplification,
Flow modeling and control,
Inputoutput analysis,
NavierStokes equations,
Parametric resonance,
Relaminarization,
Spatiallyperiodic systems,
Traveling waves,
Turbulent flows,
Vibrational control.
[bibtexentry]

B. K. Lieu and M. R. Jovanovic.
Modelbased analysis of polymer drag reduction in a turbulent channel flow.
In Proceedings of the 2013 American Control Conference,
Washington, DC,
pages 485490,
2013.
Note: (Invited paper).
Keyword(s): Drag reduction,
Control of turbulent flows,
Flow modeling and control,
Inputoutput analysis,
Energy amplification,
Simulationfree design,
Transition to turbulence,
Viscoelastic fluids.
[bibtexentry]

B. F. Farrell,
D. F. Gayme,
P. J. Ioannou,
B. K. Lieu,
and M. R. Jovanovic.
Dynamics of the roll and streak structure in transition and turbulence.
In Proceedings of the 2012 Summer Program,
Center for Turbulence Research, Stanford University/NASA,
pages 4354,
2012.
Keyword(s): Flow modeling and control,
NavierStokes equations,
Inputoutput analysis,
Energy amplification,
Transition to turbulence.
[bibtexentry]

B. K. Lieu and M. R. Jovanovic.
Analysis of drag reduction by polymers in a turbulent channel flow.
In Proceedings of the 2012 Summer Program,
Center for Turbulence Research, Stanford University/NASA,
pages 6574,
2012.
Keyword(s): Drag reduction,
Control of turbulent flows,
Flow modeling and control,
Inputoutput analysis,
Energy amplification,
Simulationfree design,
Transition to turbulence,
Viscoelastic fluids.
[bibtexentry]

B. K. Lieu and M. R. Jovanovic.
Slowfast decomposition of an inertialess flow of viscoelastic fluids.
In Proceedings of the 2012 American Control Conference,
Montreal, Canada,
pages 43694374,
2012.
Keyword(s): Flow modeling and control,
Viscoelastic fluids,
Inputoutput analysis,
Energy amplification,
Elastic turbulence,
Transition to turbulence,
Singular perturbation methods.
[bibtexentry]

A. Zare,
B. K. Lieu,
and M. R. Jovanovic.
Turbulent drag reduction by streamwise traveling waves.
In Proceedings of the 51th IEEE Conference on Decision and Control,
Maui, HI,
pages 31223126,
2012.
Keyword(s): Drag reduction,
Control of turbulent flows,
Flow modeling and control,
Inputoutput analysis,
NavierStokes equations,
Parametric resonance,
Perturbation analysis,
Simulationfree design,
Streamwise traveling waves,
Spatiallyperiodic systems,
Vibrational control.
[bibtexentry]

B. K. Lieu and M. R. Jovanovic.
Computation of the frequency responses for distributed systems with one spatial variable.
In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference,
Orlando, FL,
pages 69566961,
2011.
Keyword(s): Distributed systems theory,
Computational tools for spatially distributed systems,
Uncertainty quantification in PDEs.
[bibtexentry]

B. K. Lieu,
M. R. Jovanovic,
and S. Kumar.
Worstcase amplification of disturbances in inertialess flows of viscoelastic fluids.
In Preprints of the 18th IFAC World Congress,
Milano, Italy,
pages 1445814463,
2011.
Keyword(s): Flow modeling and control,
Viscoelastic fluids,
Inputoutput analysis,
Elastic turbulence,
Transition to turbulence,
Uncertainty quantification in PDEs,
Worstcase amplification.
[bibtexentry]

R. Moarref,
B. K. Lieu,
and M. R. Jovanovic.
Spatiallylocalized optimal control of transition to turbulence.
In Proceedings of the 2011 American Control Conference,
San Francisco, CA,
pages 35773582,
2011.
Keyword(s): Flow modeling and control,
NavierStokes equations,
Inputoutput analysis,
Energy amplification,
Transition to turbulence.
[bibtexentry]

B. K. Lieu,
R. Moarref,
and M. R. Jovanovic.
Preventing transition to turbulence using streamwise traveling waves: direct numerical simulations.
In Proceedings of the 2010 American Control Conference,
Baltimore, MD,
pages 33353340,
2010.
[bibtexentry]

R. Moarref,
B. K. Lieu,
and M. R. Jovanovic.
Optimal localized control of transitional channel flow.
In Proceedings of the 2010 Summer Program,
Center for Turbulence Research, Stanford University/NASA,
pages 107118,
2010.
Keyword(s): Flow modeling and control,
NavierStokes equations,
Inputoutput analysis,
Energy amplification,
Transition to turbulence.
[bibtexentry]
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