Control of fluid flows using multivariate spline reduced order models

Control of fluid flows using multivariate spline reduced order models

Tol, H.J. (TU Delft Control & Simulation)
de Visser, C.C. (TU Delft Control & Simulation)
Kotsonis, M. (TU Delft Aerodynamics)

2016

This paper presents a study on control of fluid flows using multivariate spline reduced order models. A new approach is presented for model reduction of the incompressible Navier-Stokes equations using multivariate splines defined on triangulations. State space descriptions are derived that can be used for control design. This paper considers the linearised Navier-Stokes equations in velocity-pressure formulation. The pressure is elimi- nated from the equations by using a space of velocity fields which are divergence free. The divergence free condition along with the smoothness across the domain and the bound- ary conditions are imposed as a linear system of side constraints. The projection of the system on the null space of these constraints significantly reduces the dimension of the model while satisfying these constraints. The reduction method is applied to design and implement feedback controllers for stabilization of disturbances in a Poiseuille flow. It is shown that effective feedback stabilization can be achieved using low order control models.

http://resolver.tudelft.nl/uuid:50d5fb3e-f558-4076-b50e-7460eeac0b9a

https://doi.org/10.2514/6.2016-1821

American Institute of Aeronautics and Astronautics Inc. (AIAA), Reston

978-1-62410-393-3

Proceedings of the 54th AIAA aerospace sciences meeting

54th AIAA Aerospace Sciences Meeting, 2016-01-04 → 2016-01-08, San Diego, United States

harvest AIAA 2016-1821

Institutional Repository

conference paper

© 2016 H.J. Tol, C.C. de Visser, M. Kotsonis