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114837 |
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|a Günther, Stefanie
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|a Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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|a Wang, Qiqi
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|a Gauger, Nicolas R.
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|a Wang, Qiqi
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|a Simultaneous single-step one-shot optimization with unsteady PDEs
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|b Elsevier,
|c 2018-04-20T20:43:56Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/114837
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|a The single-step one-shot method has proven to be very efficient for PDE-constrained optimization where the partial differential equation (PDE) is solved by an iterative fixed point solver. In this approach, the simulation and optimization tasks are performed simultaneously in a single iteration. If the PDE is unsteady, finding an appropriate fixed point iteration is non-trivial. In this paper, we provide a framework that makes the single-step one-shot method applicable for unsteady PDEs that are solved by classical time-marching schemes. The one-shot method is applied to an optimal control problem with unsteady incompressible Navier-Stokes equations that are solved by an industry standard simulation code. With the Van-der-Pol oscillator as a generic model problem, the modified simulation scheme is further improved using adaptive time scales. Finally, numerical results for the advection-diffusion equation are presented. Keywords: Simultaneous optimization; One-shot method; PDE-constrained optimization; Unsteady PDE; Adaptive time scale
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|a Article
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|t Journal of Computational and Applied Mathematics
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