Abstract
In this paper, we present a discrete adjoint method for optimal flow control of unsteady incompressible viscous flows. The discrete adjoint solver is developed in an automatic fashion from the flow solver by applying the Automatic Differentiation technique in reverse mode. The unsteady adjoint method requires the storage of the entire flow solution during the forward-in-time integration, which is then used in solving the adjoint equations in reverse time. For large-scale practical applications, the memory requirements can become prohibitively expensive. To reduce the memory requirements, the binomial checkpointing algorithm is combined with the adjoint solver. Numerical results are presented for laminar and turbulent cases to validate the discrete adjoint solver.
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Nemili, A., Özkaya, E., Gauger, N.R., Carnarius, A., Thiele, F. (2013). A Discrete Adjoint Approach for Unsteady Optimal Flow Control. In: Dillmann, A., Heller, G., Kreplin, HP., Nitsche, W., Peltzer, I. (eds) New Results in Numerical and Experimental Fluid Mechanics VIII. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35680-3_53
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DOI: https://doi.org/10.1007/978-3-642-35680-3_53
Publisher Name: Springer, Berlin, Heidelberg
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