绕大攻角翼型低速非定常流动的SUPG有限元数值模拟

Numerical Simulation of The Unsteady Flow Past An Airfoil at High Incidence by SUPG FEM

采用既有良好稳定性又有较高精度的 Ｓ Ｕ Ｐ Ｇ 有限元方法，通过数值求解涡量－流函数形式的不可压缩流 Ｎ Ｓ方程组，模拟了大攻角翼型在高 Ｒｅ 数下几种典型情况的非定常绕流流场，同时验证了 Ｓ Ｕ Ｐ Ｇ 有限元方法在求解对流占优的二维非定常对流－ 扩散方程时的有效性。

By using the SUPG finite element method and a high-resolution grid system we solved 2-D incompressible Navier-Stokes equations in vorticity-streamfunction variables at high Reynolds numbers. Viscous flows past a NACA0012 airfoil with a constant angular speed were presented in this paper. It has been shown that the SUPG FEM is feasible for the simulation of the convection dominated 2-D unsteady viscous flows.