平面叶栅气动噪声的高精度谱元方法求解

本文建立了一种用于气动噪声预测的高精度三角谱元方法。结合CBS法(Characteristic-based split method)求解Navier-Stokes方程获取伪声压声源后,基于波动方程求解声传播问题。谱元法的谱收敛特性满足了气动声学问题的高精度需求,而CBS法的引入保证了高雷诺数问题的计算稳定性。通过两组基准解问题求解验证了本文方法的正确性。将本文方法应用于平面叶栅气动噪声计算,并考察了不同攻角下噪声的变化规律。研究内容为进一步探究各类流体机械的气动噪声提供了一种新的途径。

An Accurate Spectral Element Method for Solving Plane Cascade Aerodynamic Noise

In this paper,an accurate triangular spectral element method for prediction of aerodynamic noise is established.Combining with characteristic-based split method,Navier-Stokes equations are solved to obtain the acoustic source of pseudo acoustic pressure.Then acoustic propagation problem is solved based on wave equation.The spectral convergence feature of spectral element method meets the requirement of high accuracy in aeroacoustic problems,while the introduction of CBS method guarantees the numerical stability in high Reynolds number problems.The effectiveness of the proposed method is demonstrated by two benchmark problems.The proposed method is applied to calculation of plane cascade aerodynamic noise.Changing law of noises under different angles of attack is investigated.The research content provides a new solution for further investigation in aerodynamic noises of various type of fluid mechinary.