Simultaneous pseudo-time stepping for 3D aerodynamic shape optimization

被引:6
|
作者
Hazra, S. B. [1 ]
Schulz, V. [1 ]
Brezillon, J. [2 ]
机构
[1] Univ Trier, Dept Math, D-54286 Trier, Germany
[2] German Aerosp Ctr, Inst Aerodynam & Flow Technol, D-38108 Braunschweig, Germany
关键词
shape optimization; simultaneous pseudo-time stepping; Euler equations; preconditioner; reduced SQP methods; supersonic aircraft;
D O I
10.1515/JNUM.2008.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents a numerical method for aerodynamic shape optimization problems with state constraint. It uses a simultaneous semi-iterative technique to solve the equations arising from the first order necessary optimality conditions. Although there is no theoretical proof of convergence of this algorithm so far, in our numerical experiments the method converges without additional globalization in the design space. A reduced SQP method based preconditioner is used for convergence acceleration. Design examples of drag reduction with constant lift for wing and body of a Supersonic Commercial Transport (SCT) aircraft are included. The overall cost of computation is about 8 forward simulation runs.
引用
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页码:139 / 161
页数:23
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