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Analytic adjoint solutions for the quasi-one-dimensional Euler equations

Giles, Michael B. and Pierce, Niles A. (2001) Analytic adjoint solutions for the quasi-one-dimensional Euler equations. Journal of Fluid Mechanics, 426 . pp. 327-345. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:GILjfm01

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Abstract

The analytic properties of adjoint solutions are examined for the quasi-one-dimensional 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.


Item Type:Article
ORCID:
AuthorORCID
Pierce, Niles A.0000-0003-2367-4406
Additional Information:© Cambridge University Press 2001. Reprinted with permission. (Received 11 June 1998 and in revised form 8 August 2000) [Published online 12 January 2001] This research was supported by EPSRC under grant GR/K91149.
Record Number:CaltechAUTHORS:GILjfm01
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GILjfm01
Alternative URL:http://dx.doi.org/10.1017/S0022112000002366
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9062
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:24 Oct 2007
Last Modified:02 Oct 2019 23:56

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