Aeroacoustic computations using a high-order shock-capturing scheme
Aeroacoustic computations using a high-order shock-capturing scheme
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DOI：
10.2514/1.28518
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发表时间：
2007-10
期刊：
影响因子：
2.5
通讯作者：
V. Daru;X. Gloerfelt
中科院分区：
文献类型：
--
作者：
V. Daru;X. Gloerfelt
对于超音速区域的气动声学计算，有必要使用一种能够表示激波而不产生虚假数值振荡的数值格式。通常在亚音速情况下成功使用的中心格式，与选择性滤波相结合，在存在不连续性的情况下，通常会振荡。一类新的激波捕捉格式--一步单调保持格式，结合了联合收割机的高精度和无振荡特性。因此，它是一个很好的候选人超音速航空声学应用。这些计划的良好的谱特性的标量线性的情况下示出。欧拉和Navier-Stokes方程的气动声学试验问题的结果进行了比较的色散关系保持计划。应用于超声速空腔流，这将导致一个复杂的模式的移动激波，表明一步单调性保持格式捕捉移动的不连续性没有虚假振荡，并保持在同一时间的高精度。
For aeroacoustic computations in the supersonic regime, it is necessary to use a numerical scheme that can represent shock waves without generating spurious numerical oscillations. The centered schemes that are usually used with success in the subsonic case, combined with a selective filtering, will generally oscillate in the presence of discontinuities. A new class of shock-capturing schemes, the one-step monotonicity-preserving schemes, combine the high accuracy and the nonoscillating property. It is thus a good candidate for supersonic aeroacoustic applications. The good spectral properties of these schemes are illustrated in the scalar linear case. Results of aeroacoustic test problems for the Euler and Navier-Stokes equations are compared with a dispersion-relation-preserving scheme. The application to a supersonic cavity flow, which induces a complex pattern of moving shocks, shows that the one-step monotonicity-preserving schemes capture the moving discontinuities without spurious oscillations and preserve a high accuracy at the same time.