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Automatic Differentiation and Navier-Stokes Computations

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Book cover Computational Methods for Optimal Design and Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 24))

Abstract

We describe the use of automatic differentiation (AD) in, and its application to, a compressible NavierStokes model. Within the solver, AD is used to accelerate convergence by more than an order of magnitude. Outside the solver, AD is used to compute the derivatives needed for optimization. We emphasize the potential for performance gains if the programmer does not treat AD as a black box, but instead utilizes high-level knowledge about the nature of the application.

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Author information

Authors and Affiliations

  1. Mathematics and Computer Science Division, Argonne National Laboratory, 9700 S. Cass Avenue, Argonne, IL, 60439-4844, France

    Paul Hovland & Christian Bischof

  2. Math. Dept, CC51, University of Montpellier II and INRIA, Montpellier Cedex 5, 34095, France

    Bijan Mohammadi

Authors
  1. Paul Hovland
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  2. Bijan Mohammadi
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  3. Christian Bischof
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Editor information

Editors and Affiliations

  1. Ctr. for Optimal Design and Control Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, 14853, USA

    Jeff Borggaard

  2. Ctr. for Optimal Design and Control Interdisciplinary Ctr. for Applied Mathematics, Virginia Tech, Blacksburg, VA, 24061, USA

    John Burns  & Eugene Cliff  & 

  3. Air Force Office of Scientific Research, Bolling Air Force Base, Washington, DC, 20332, USA

    Scott Schreck (Directorate of Mathematics and Geosciences) (Directorate of Mathematics and Geosciences)

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© 1998 Springer Science+Business Media New York

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Hovland, P., Mohammadi, B., Bischof, C. (1998). Automatic Differentiation and Navier-Stokes Computations. In: Borggaard, J., Burns, J., Cliff, E., Schreck, S. (eds) Computational Methods for Optimal Design and Control. Progress in Systems and Control Theory, vol 24. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1780-0_15

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  • DOI: https://doi.org/10.1007/978-1-4612-1780-0_15

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7279-3

  • Online ISBN: 978-1-4612-1780-0

  • eBook Packages: Springer Book Archive

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