Abstract
Theoretical and practical issues arising in optimal boundary control of the unsteady two-dimensional compressible Navier-Stokes equations are discussed. Assuming a sufficiently smooth state, formal adjoint and gradient equations are derived. For a vortex rebound model problem wall normal suction and blowing is used to minimize cost functionals of interest, here the kinetic energy at the final time.
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Collis, S.S., Ghayour, K., Heinkenschloss, M., Ulbrich, M., Ulbrich, S. (2001). Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equations. 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_4
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DOI: https://doi.org/10.1007/978-3-0348-8148-7_4
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