基于两种计算方法的二维水翼性能预报

The performance prediction of two-dimension hydrofoil based on two computational methods

对拉普拉斯方程采用Galerkin方法得到积分表达式,建立以流场速度势为未知量有限元总体方程。并采用2种不同的计算模式求解有限元方程,即控制流线法和速度势分解法,计算了绕NACA4412二维翼的表面压力分布,不同攻角的升力系数以及流线分布。讨论了2种方法各自的特点。计算结果与试验数据进行了对比,取得了较为一致的结果,说明了本文方法的有效性和可靠性。

According to Laplace equation, the integral expression is derived by the Galerkin＇s method. The global finite element equation is constructed to solve velocity potential distribution in the flow field. The finite element equation is solved by two methods：the stream line control method and the velocity potential decomposition method. The pressure distributing on 2-D NACA4412 foils and the lift coefficients are provided at difference angles of attack. The characteristics of two methods are discussed. The comparisons between numerical results and real experimental data show two methods are reliable and feasible.