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Discrete Adjoint Approximations with Shocks

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • M. B. Giles

    (Oxford University Computing Laboratory)

Abstract

In recent years there has been considerable research into the use of adjoint flow equations for design optimisation (e.g. [Jam95]) and error analysis (e.g. [PGOO, BROI]). In almost every case, the adjoint equations have been formulated under the assumption that the original nonlinear flow solution is smooth. Since most applications have been for incompressible or subsonic flow, this has been valid, however there is now increasing use of such techniques in transonic design applications for which there are shocks. It is therefore of interest to investigate the formulation and discretisation of adjoint equations when in the presence of shocks.

Suggested Citation

  • M. B. Giles, 2003. "Discrete Adjoint Approximations with Shocks," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 185-194, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_16
    DOI: 10.1007/978-3-642-55711-8_16
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