基于高阶DG方法的非定常流场声辐射特性数值模拟研究

随着航空噪声越来越受到关注，计算声传播的算法成为研究热点。高阶间断伽辽金(Discontinuous Galerkin,DG)方法具有高精度、对网格质量要求低、适合自适应和并行计算等优点，可以以较高的效率对声场进行计算。文章运用高阶DG方法对线性化欧拉方程(Linearized Euler Equations, LEE)进行空间离散，并且基于离散后的线性化欧拉方程对带有背景流场的NACA0012翼型和30P30N多段翼型的声场进行数值计算。采用有限体积法计算得出流场信息后，通过插值将流场数据导入声场网格，并运用高阶DG方法进行声场计算。计算结果与参考文献中FW-H(Ffowcs Williams-Hawkings)算法对比一致性较好，验证了高阶DG算法的可行性。

Numerical simulation of acoustic radiation characteristics in unsteady flow field based on high-order DG method

With aviation noise getting more and more attention, the algorithms for calculating sound propagation have become a research hotspot. The high-order discontinuous Galerkin(DG) method has the advantages of high precision, low requirement on mesh quality, suitable for adaptive and parallel computing, and can calculate sound field with high efficiency. In this paper, the higher-order DG method is used to discretize the Linearized Euler Equations in space, and the sound fields of NACA0012 airfoil and 30P30N multi-segment airfoil with the background flow field are numerically calculated based on the discretized Linearized Euler Equation. After using the finite volume method to calculate the flow field information, the flow field information is imported into the sound field grid through interpolation, and the high-order DG method is used to calculate the sound field information. The calculated results are in good agreement with the FW-H algorithm in the references, which verifies the feasibility of high-order DG method.