## Research Abstracts Online

January
2008 - March 2009

### University of Minnesota Twin Cities

Institute of Technology

Department of Electrical and Computer Engineering

## PI: Mihailo Jovanovic

### Modeling and Control of Turbulent Wall-bounded Shear Flows

This project introduces new methods for modeling and control of turbulent wall-bounded shear flows. Transition in these flows is crucial to the technologically relevant problem of skin-friction drag reduction. This form of drag results from the no-slip boundary conditions on the surface of a submarine or the fuselage and the wings of an aircraft; it approximately accounts for 50% of the overall drag of a subsonic aircraft at cruise conditions, and 90% of the overall drag of an underwater vehicle. Progress in these problems has been hindered by the lack of understanding of turbulent flows and the absence of tractable models and theoretical tools for analysis and control thereof. Since skin-friction drag directly translates into large fuel consumption for air and water vehicles, there is a critical demand for development and utilization of advanced theoretical and computational techniques in this area.

These researchers are developing new control-oriented models of turbulent wall-bounded shear flows; these models will contain appropriate statistical descriptions of flow disturbances that approximate turbulent flow statistics in the least-squares sense. The flow estimators and controllers designed using these models will have superior performance compared to their counterparts designed without an accurate statistical description of flow disturbances. This approach will enable successful skin-friction drag reduction at higher Reynolds numbers than currently possible. The efficacy of the developed flow estimators and controllers will be demonstrated in direct numerical simulations of the Navier-Stokes equations using MSI computational resources.

### Group Members

Binh Lieu, Graduate Student

Rashad Moarref, Graduate Student