Optimal control of fluid force around a circular cylinder located in incompressible viscous flow using automatic differentiation

Abstract

In the inverse analysis, it is important to compute the gradient of the function. In the ordinary computation, this is a very complicated task. In this paper the authors propose the application of automatic differentiation (AD) as a new approach applied to the optimal control problems. The drag force minimization problem jetting the flow behind a circular cylinder is treated in this research. The forward mode AD computes the partial derivatives according to the differentiation rule of a composite function whenever basic operation is performed.

Keywords:

• Automatic differentiation
• Navier–Stokes equations
• Forward mode
• Optimal control

Notes

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Additional information

Notes on contributors

Mutsuto Kawahara

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