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Aerodynamic shape optimization using simultaneous pseudo-timestepping. (English) Zbl 1143.76564
Summary: The paper deals with a numerical method for aerodynamic shape optimization. It is based on simultaneous pseudo-timestepping in which stationary states are obtained by solving the non-stationary system of equations representing the state, costate and design equations. The main advantages of this method are that it requires no additional globalization techniques and that a preconditioner can be used for convergence acceleration which stems from the reduced SQP method. A design example for drag reduction for an RAE2822 airfoil, keeping its thickness fixed, is included. The overall cost of computation is less than four times that of the forward simulation run.

MSC:
76N25 Flow control and optimization for compressible fluids and gas dynamics
49Q10 Optimization of shapes other than minimal surfaces
65K10 Numerical optimization and variational techniques
76G25 General aerodynamics and subsonic flows
76M25 Other numerical methods (fluid mechanics) (MSC2010)
Software:
MEGAFLOW
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References:
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