Control of fluid flows using multivariate spline reduced order models

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Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 54th AIAA aerospace sciences meeting
Editors s.n.
Place of PublicationReston
PublisherAmerican Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages12
ISBN (Print)978-1-62410-393-3
DOIs
Publication statusPublished - 2016
Event54th AIAA Aerospace Sciences Meeting - San Diego, United States
Duration: 4 Jan 20168 Jan 2016
Conference number: 54
https://doi.org/10.2514/MASM16

Publication series

Name
PublisherAIAA

Conference

Conference54th AIAA Aerospace Sciences Meeting
CountryUnited States
CitySan Diego
Period4/01/168/01/16
Internet address

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