The primal and adjoint, time-dependent fluid—structure interaction (FSI) formulations are presented. A simple control strategy for FSI problems is formulated based on the information provided by the solution of the adjoint FSI problem. A well-known benchmark FSI problem is computed to demonstrate the effectiveness of the proposed technique. Such control strategies as proposed in this paper are useful for computational steering or so-called Dynamics Data Driven Application System (DDDAS) simulations, in which the computational model is adjusted to include the information coming from the measurement data, and control strategies may be employed to computationally steer the physical system toward desired behavior.
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Bazilevs et al. (2013) studied this question.
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