Aerodynamic Shape Optimization of Wings Using a Parallel Newton-Krylov Approach
Aerodynamic Shape Optimization of Wings Using a Parallel Newton-Krylov Approach
复制标题
使用并行牛顿-克雷洛夫方法优化机翼的气动形状
DOI：
10.2514/1.j051192
复制
发表时间：
2012
期刊：
影响因子：
2.5
通讯作者：
D. Zingg
中科院分区：
文献类型：
--
作者：
Timothy Leung;D. Zingg
针对单点和多点气动外形优化问题，提出了一种三维气动外形优化的Newton-Krylov算法。用非精确牛顿方法求解欧拉方程，用离散伴随方法计算梯度，用基于拟牛顿方法的优化器寻找最优几何形状。采用灵活的广义最小残差法和近似Schur预处理法同时求解流动方程和伴随方程。文中采用B-Spline曲面对翼面进行参数化处理，并在每次迭代时采用快速代数算法进行网格移动。提出了一种同时优化平面变量和截面形状的有效策略。优化结果显示了多达225个设计变量，以证明该方法的能力和效率。
ANewton–Krylov algorithm for aerodynamic shape optimization in three dimensions is presented for both singlepoint andmultipoint optimization. An inexact Newtonmethod is used to solve the Euler equations, a discrete adjoint method is used to compute the gradient, and an optimizer based on a quasi-Newtonmethod is used tofind the optimal geometry. Theflexible generalizedminimal residualmethod is usedwith approximate Schur preconditioning to solve both the flow equation and the adjoint equation. Thewing geometry is parameterized byB-spline surfaces, and a fast algebraic algorithm is used for grid movement at each iteration. An effective strategy is presented to enable simultaneous optimization of planform variables and section shapes. Optimization results are presented with up to 225 design variables to demonstrate the capabilities and efficiency of the approach.