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Optimum shape design using automatic differentiation in reverse mode

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Book cover Fifteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 490))

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Abstract

This paper is devoted to show how to use automatic differentiation in reverse mode as a powerful tool in optimization procedures. It is also shown that for aerodynamic applications the gradients have to be as accurate as possible. In particular, the effect of having the exact gradient of the first or second order spatial discretization schemes is presented. We show that the loss of precision in the gradient affects not only the convergence, but also the final shape. Both two and three dimensional configurations of transonic and supersonic flows have been investigated. These cases involve up to several thousand of control parameters.

U. C. DAVIS and INRIA

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5 References

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Authors
  1. M. Hafez
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  2. B. Mohammadi
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  3. O. Pironneau
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Editor information

Paul Kutler Jolen Flores Jean-Jacques Chattot

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© 1997 Springer-Verlag

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Hafez, M., Mohammadi, B., Pironneau, O. (1997). Optimum shape design using automatic differentiation in reverse mode. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107083

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  • DOI: https://doi.org/10.1007/BFb0107083

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63054-8

  • Online ISBN: 978-3-540-69120-4

  • eBook Packages: Springer Book Archive

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