On the choice of the cost functional for optimal vortex reduction for instationary flows

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Abstract

In this paper we discuss an appropriate choice of a cost functional for vortex reduction for unsteady flows described by the Navier-Stokes equations. We discuss different possibilities for a definition of a vortex and for a corresponding cost functionals. The resulting optimal control problem is analyzed and numerical experiments are provided. © 2007 Springer-Verlag Berlin Heidelberg.

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Kunisch, K., & Vexler, B. (2007). On the choice of the cost functional for optimal vortex reduction for instationary flows. In Notes on Numerical Fluid Mechanics and Multidisciplinary Design (Vol. 95, pp. 339–352). https://doi.org/10.1007/978-3-540-71439-2_21

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