Abstract
We consider a simple shape design problem for the Navier-Stokes system in two-dimensions. The shape of part of the boundary is determined so that flow matches, as well as possible, a given flow. An optimality system is derived and the adjoint equation method is used to determine the shape gradient of the design functional.
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Gunzburger, M., Manservisi, S. (2001). Flow Matching by Shape Design for the Navier-Stokes System. In: Hoffmann, KH., Lasiecka, I., Leugering, G., Sprekels, J., Tröltzsch, F. (eds) Optimal Control of Complex Structures. ISNM International Series of Numerical Mathematics, vol 139. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8148-7_23
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DOI: https://doi.org/10.1007/978-3-0348-8148-7_23
Publisher Name: Birkhäuser, Basel
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