基于N-S方程的翼型气动优化设计

本文简要回顾了气动优化设计的最新发展，并采用连续伴随方法对粘性条件下的翼型气动外形进行了优化设计。设计过程中，采用B样条曲线的控制顶点作为设计变量，通过求解伴随方程得到目标函数关系设计变量的梯度，最后用最速下降法和BFGS变尺度法对二维翼型进行了外形优化，验证了本方法直接、快速的设计能力。

Airfoil aerodynamic design and optimization based on Navier-Stokes equations

This paper presents a brief overview of some of the recent advances in aerodynamic shape design and optimization, the continuous adjoint method based on Navier Stokes equations is employed to achieve the airfoil optimal design. During the process, the B spline control vertices are chosen as the design variables, and the gradients of the objective function with respect to the design variables are calculated by solving the adjoint equations, the steepest descend and the BFGS algorithm are chosen to carry out the optimization. Two demonstration cases are presented to exhibit the direct and efficient performance of this methodology.