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Stabilization of Flexible Structures pp 312–321Cite as

A numerical method for drag minimization via the suction and injection of mass through the boundary

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 147))

Abstract

We study the problem of minimizing the viscous drag on a body via the addition or removal of mass through the boundary. The control considered is the mass flux through all or part of the boundary; the functional to be minimized is the viscous dissipation. We use Lagrange multiplier techniques to derive a system of partial differential equations from which optimal, i.e., minimum drag, solutions may be determined. Then, finite element approximations of solutions of the optimality system are defined and optimal error estimates are derived.

This work was supported by the Air Force Office of Scientific Research under grant numbers AFOSR-88-0197 for MDG and LH and AFOSR-85-0263 and AFOSR-86-0085 for TPS. The work of MDG was also partially performed under the auspices of the U.S. Department of Energy.

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Authors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USA

    Max D. Gunzburger

  2. Départment de Mathématiques et de Statistique, Université Laval, G1K 7P4, Quebec, Canada

    Lisheng Hou

  3. Department of Mathematics and Statistics, Wright State University, 45435, Dayton, OH, USA

    Thomas P. Svobodny

Authors
  1. Max D. Gunzburger
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  2. Lisheng Hou
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  3. Thomas P. Svobodny
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J. P. Zoléesio

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© 1990 Springer-Verlag

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Gunzburger, M.D., Hou, L., Svobodny, T.P. (1990). A numerical method for drag minimization via the suction and injection of mass through the boundary. In: Zoléesio, J.P. (eds) Stabilization of Flexible Structures. Lecture Notes in Control and Information Sciences, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005162

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  • DOI: https://doi.org/10.1007/BFb0005162

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53161-6

  • Online ISBN: 978-3-540-46731-1

  • eBook Packages: Springer Book Archive

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