Abstract
This paper presents the development and application of the unsteady continuous adjoint method to the incompressible Navier-Stokes equations and its use in two different optimization problems. The first is the computation of the optimal setting of a flow control system, based on pulsating jets located along the surface of a square cylinder, in order to minimize the time-averaged drag. The second is dealing with unsteady topology optimization of a duct system with four fixed inlets and a single outlet, with periodic in time inlet velocity profiles, where the target is to minimize the time-averaged viscous losses. The presentation of the adjoint formulation is kept as general as possible and can thus be used to other optimization problems governed by the unsteady Navier-Stokes equations. Though in the examined problems the flow is laminar, the extension to turbulent flows is doable.
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Kavvadias, I.S., Karpouzas, G.K., Papoutsis-Kiachagias, E.M., Papadimitriou, D.I., Giannakoglou, K.C. (2015). Optimal Flow Control and Topology Optimization Using the Continuous Adjoint Method in Unsteady Flows. In: Greiner, D., Galván, B., Périaux, J., Gauger, N., Giannakoglou, K., Winter, G. (eds) Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. Computational Methods in Applied Sciences, vol 36. Springer, Cham. https://doi.org/10.1007/978-3-319-11541-2_10
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DOI: https://doi.org/10.1007/978-3-319-11541-2_10
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