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One‐shot pseudo‐time method for aerodynamic shape optimization using the Navier–Stokes equations
Author(s) -
Hazra S. B.,
Jameson A.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2521
Subject(s) - preconditioner , aerodynamics , sequential quadratic programming , computational fluid dynamics , navier–stokes equations , acceleration , mathematics , convergence (economics) , computation , computer science , mathematical optimization , iterative method , compressibility , physics , mechanics , algorithm , classical mechanics , quadratic programming , economics , economic growth
This paper presents a numerical method for aerodynamic shape optimization problems in compressible viscous flow. It is based on simultaneous pseudo‐time stepping in which stationary states are obtained by solving the pseudo‐stationary system of equations representing the state, costate and design equations. The main advantages of this method are that it blends in nicely with previously existing pseudo‐time‐stepping methods for the state and the costate equations, that it requires no additional globalization in the design space, and that a preconditioner can be used for convergence acceleration which stems from the reduced SQP methods. For design examples of 2D problems, the overall cost of computation can be reduced to less than 2 times the forward simulation runs. Copyright © 2011 John Wiley & Sons, Ltd.