Single-step One-shot Aerodynamic Shape Optimization

Single-step One-shot Aerodynamic Shape Optimization
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单步一次性气动形状优化

DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
N. Gauger
N. Gauger
中科院分区:
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文献类型:
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作者:
E. Özkaya;N. Gauger

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本文研究了一种跨音速翼型的外形优化问题,其气动特性是用结构化欧拉解算器计算的。优化策略是基于一个一次性的技术,其中的伪时间步长的原始和伴随的求解器进行迭代,同时进行设计修正的翼型几何形状。计算所需灵敏度的伴随求解器基于离散伴随,并通过使用自动微分的反向模式导出。一个新的预处理器,这是通过考虑增广拉格朗日制定的优化问题,以实现有界延迟的整体优化过程。给出了RAE2822翼型跨音速最小阻力设计实例。
In this paper we consider the shape optimization of a transonic airfoil whose aerodynamic properties are calculated by a structured Euler solver. The optimization strategy is based on a one-shot technique in which pseudo time-steps of the primal and the adjoint solver are iterated simultaneously with design corrections done on the airfoil geometry. The adjoint solver which calculates the necessary sensitivities is based on discrete adjoints and derived by using reverse mode of automatic differentiation. A new preconditioner which is derived by considering an augmented Lagrangian formulation of the optimization problem is employed in order to achieve bounded retardation of the overall optimization process. A design example of drag minimization for an RAE2822 airfoil under transonic flight conditions is included.