Discrete Adjoint Approximations with Shocks

M. B. Giles ()
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M. B. Giles: Oxford University Computing Laboratory

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 185-194 from Springer

Abstract: 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.

Keywords: Burger Equation; Adjoint Equation; Numerical Flux; Adjoint Solution; Shock Point (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_16

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DOI: 10.1007/978-3-642-55711-8_16

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