基于欧拉方程的二维振荡机翼非定常气动设计反命题方法

建立了基于欧拉方程组的二维振荡机翼非定常气动设计反命题方法的数学模型.通过一系列变换,将物理时空中的求解域转换成映象坐标系中的规范区域;并导出了映象坐标下的欧拉方程,结合非定常反命题的边界条件,便可用有限差分方法求解.本方法引入映象坐标系解决反命题边界形状的不确定性,并能利用欧拉方程现有的各种差分格式于反命题求解.

An approach of inverse problem for unsteady aerodynamic design of 2-D oscillating airfoil based on Euler equations

A mathematical model for the inverse problem of unsteady aerodynamic design of 2-D oscillating airfoil based on Euler equations is proposed. The physical solution domain is transferred into a normalized domain in the image coordinates system through a series of transformation, so that the difficulties caused by the unknown geometry of airfoil can be avoided. The Euler equations are transformed into the image space, which, combined with the boundary conditions of the inverse unsteady problem, can be solved using the various FEM schemes now available.