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Research Article

Numerical control of two-dimensional shock waves in dual solution domain by instant temperature disturbances

  1. A.K. Alekseev1,
  2. I.M. Navon2,*

Article first published online: 29 JAN 2012

DOI: 10.1002/fld.3652

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Volume 71, Issue 2, pages 175–184, 20 January 2013

Additional Information

How to Cite

Alekseev, A.K. and Navon, I.M. (2013), Numerical control of two-dimensional shock waves in dual solution domain by instant temperature disturbances. Int. J. Numer. Meth. Fluids, 71: 175–184. doi: 10.1002/fld.3652

Author Information

  1. 1

    Moscow Institute of Physics and Technology, Moscow, Russia

  2. 2

    School of Computational Science, Florida State University, Tallahassee, FL, USA

* Michael Navon, Department of Scientific Computing, Florida State University, Tallahassee, FL 32306-4120, USA.
E-mail: inavon@fsu.edu

Publication History

  1. Issue published online: 11 DEC 2012
  2. Article first published online: 29 JAN 2012
  3. Manuscript Accepted: 3 JAN 2012
  4. Manuscript Received: 1 NOV 2011

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Keywords:

  • flow control;
  • adjoint equations;
  • Euler equations;
  • initial temperature disturbances;
  • a posteriori error estimation

SUMMARY

The search for the temperature disturbance causing transition between regular and Mach reflections in the dual solution domain is addressed in an optimization statement. The gradient of the discrepancy between the current and target flow fields was calculated using adjoint equations. The control was determined by gradient-based optimization. The flow field simulation is verified via a posteriori error estimates using the solution of an additional adjoint problem. Copyright © 2012 John Wiley & Sons, Ltd.

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