摘要
从二维模型方程的全离散形式出发，重点分析了差分格式的色散特性和各向异性效应，证实迎风紧致格式比对称格式有更好的色散和各向同性特性，故有利于声场的数值模拟．并采用三阶迎风紧致格式（UCD3）和四阶对称紧致格式（SCD4）计算了绕NACA0012翼型的可压缩非定常流场，并将此流场作为近场声源，运用声学比拟理论对气动声进行模拟．
The numerical dispersion and anisotripic effects of several finite difference schemes are assessed by Fourier analysis from the full-discretized, two-dimensional model equations. It is found that there are three kinds of numerical waves propagating in the numerically dispersive medium,namely, the flow velocity waves and two acoustic waves superimposed on the flow velocity. The investigation shows that the upwind compact difference scheme suffers less significantly from the anisotropic effect than the symmetrical compact difference scheme with the similar arcurary and thus is more suitable for the simulation of aeroacoustic noise.Acoustic analogy computations of vortex shedding noise are carried out in the context of a two-dimensional flow past a NACA0012 airfoil. The near-field flow governed by the compressible Navier-Stokes equations is solved by 3-order upwind compact difference scheme combined with 3-order Runge-Kutta method. The unsteady flow generates aeroacoustic dipole and quadrupole sources. The radiated far-field noise is calculated based one Curle's extension to the Lighthill analogy. A method for reducing the spurious noise caused by eddies crossing the exit boundary is checked. Numerical results confirm that the quadrupole noise cannot be neglected compared with the noise due to lift and drag dipoles when the freestream Marh number is high. The far-field sound pressure has the directivity and spectra show that low frequency peaks shift toward higher frequency regions as the observation angle diverges from the flow direction.
出处
《力学学报》
EI
CSCD
北大核心
2000年第4期392-401,共10页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金!19872069
国家科学技术部(九五)攀登A预选项目!"流体及空气动力学关键基础问题研究"资助
关键词
气动声学
声学比拟理论
翼型
扰流
声场
aeroacoustics, numerical simulation, acoustic analogy, compact difference scheme,airfoil
