Admitting the Inadmissible: Adjoint Formulation for Incomplete Cost Functionals in Aerodynamic Optimization

The adjoint equations are derived for problems in aerodynamic optimization that are improperly considered as inadmissible. For example, a cost functional that depends on the density, rather than on the pressure, is considered inadmissible for an optimization problem governed by the Euler equations.

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Bibliographic Details
Published in:AIAA journal 1999-01, Vol.37 (1), p.37-44
Main Authors: Arian, Eyal, Salas, Manuel D
Format: Article
Language:English
Subjects:
Aerodynamics
Aircraft
Applied fluid mechanics
Costs
Exact sciences and technology
Fluid dynamics
Functions
Fundamental areas of phenomenology (including applications)
Lagrange multipliers
Mathematics
Navier Stokes equations
Optimization
Partial differential equations
Physics
Problem solving
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Description
Summary:The adjoint equations are derived for problems in aerodynamic optimization that are improperly considered as inadmissible. For example, a cost functional that depends on the density, rather than on the pressure, is considered inadmissible for an optimization problem governed by the Euler equations.
ISSN:0001-1452
1533-385X
DOI:10.2514/2.690