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, M. J. P. Hack, and M. R. Jovanovic. Modeling mode interactions in boundary layer flows via Parabolized Floquet Equations. Phys. Rev. Fluids, 4(2):023901 (22 pages), February 2019. Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, H-type transition, Laminar streaks, Parabolized Floquet equations, Parabolized stability equations, Periodic systems, Transition to turbulence. [bibtex-entry]



2. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Stochastic receptivity analysis of boundary layer flow. Phys. Rev. Fluids, 4(9):093901 (28 pages), September 2019. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]

1. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Boundary layer receptivity analysis via the algebraic Lyapunov equation. In Proceedings of the 2020 AIAA SciTech Forum and Exposition, Orlando, FL, pages 0109 (15 pages), 2020. Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]



2. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Relating global and local stochastic receptivity analysis of boundary layer flows. In Proceedings of the 2019 American Control Conference, Philadelphia, PA, pages 3212-3217, 2019. Note: (Invited paper). Keyword(s): Boundary layers, Boundary layer receptivity, Control-oriented modeling, Distributed systems, Energy amplification, Flow modeling and control, Free-stream turbulence, Low-complexity modeling, Navier-Stokes equations, Spatially-evolving flows, Transition to turbulence. [bibtex-entry]



3. W. Ran, A. Zare, M. J. P. Hack, and M. R. Jovanovic. Low-complexity modeling of mode interactions in boundary layer flows. In Proceedings of the 2018 American Control Conference, Milwaukee, WI, pages 134-139, 2018. Note: (Invited paper). Keyword(s): Boundary layers, Control-oriented modeling, Distributed systems, Floquet theory, Parabolized stability equations, Spatially-periodic systems, Transition to turbulence. [bibtex-entry]

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