The Mathematical Institute, University of Oxford, Eprints Archive

Analytic Adjoint Solutions for the Quasi-1D Euler Equations

Giles, M. B. and Pierce, Niles A. (2000) Analytic Adjoint Solutions for the Quasi-1D Euler Equations. Technical Report. Unspecified. (Submitted)



The analytic properties of adjoint solutions are examined for the quasi-1D Euler equations. For shocked flow, the derivation of the adjoint problem reveals that the adjoint variables are continuous with zero gradient at the shock, and that an internal adjoint boundary condition is required at the shock. A Green's function approach is used to derive the analytic adjoint solutions corresponding to supersonic, subsonic, isentropic and shocked transonic flows in a converging-diverging duct of arbitrary shape. This analysis reveals a logarithmic singularity at the sonic throat and confirms the expected properties at the shock.

This research was supported by EPSRC under grant GR/K91149

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1278
Deposited By: Lotti Ekert
Deposited On:01 Jun 2011 08:20
Last Modified:29 May 2015 18:58

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