1. W. Ran. Modeling and analysis of parallel and spatially-evolving wall-bounded shear flows. PhD thesis, University of Southern California, 2020. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Drag reduction, Energy amplification, Floquet theory, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Parabolized Floquet equations, Parabolized stability equations, Riblets, Sensor-free flow control, Spatially-evolving flows, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Transition to turbulence, Turbulence modeling. [bibtex-entry]

1. W. Ran, A. Zare, and M. R. Jovanovic. Model-based design of riblets for turbulent drag reduction. J. Fluid Mech., 906:A7 (38 pages), January 2021. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]

1. W. Ran, A. Zare, and M. R. Jovanovic. Frequency-response analysis of riblets for turbulent drag reduction. In Proceedings of the 24th International Symposium on Mathematical Theory of Network and Systems, Cambridge, UK, 2020. Note: Submitted. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]



2. W. Ran, A. Zare, and M. R. Jovanovic. Drag reduction in turbulent channel flow over spatially periodic surfaces. In Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, pages 5918-5923, 2019. Keyword(s): Drag reduction, Riblets, Sensor-free flow control, Spatially-periodic systems, Spatio-temporal frequency responses, Stochastically-forced Navier-Stokes equations, Turbulence modeling. [bibtex-entry]

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