Wavenumber-extended high-order oscillation control finite volume schemes for multi-dimensional aeroacoustic computations
Wavenumber-extended high-order oscillation control finite volume schemes for multi-dimensional aeroacoustic computations
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DOI：
10.1016/j.jcp.2007.12.013
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发表时间：
2008-04
期刊：
影响因子：
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通讯作者：
Sungtae Kim;Soogab Lee;Kyu Hong Kim
中科院分区：
文献类型：
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作者：
Sungtae Kim;Soogab Lee;Kyu Hong Kim
提出了一种精确、高效的多维可压缩流气动声学计算新方法。该方案的核心思想是结合波数扩展优化方案和M-AUSMPW+/MLP方案的优点，在多空间维度上更准确地预测流动变量的物理分布。为了提高精度，提出了基于保守性要求的有限体积法的波数扩展优化方法，该方法要求在光滑区域捕获解的声学部分。此外，根据区分函数的确定，引入了基于不连续区域和不连续区域之间的Gibbs现象的新的区分机制，通过限制应用MLP来消除连续区域中过多的数值耗散。为了验证该方法的有效性，对球面波传播、非线性波传播、激波管问题和涡流保持试验问题进行了基准模拟。同时，通过对激波-涡相互作用和炮口冲击波流动问题的比较，验证了新方法在气动声学应用中的实用性。
A new numerical method toward accurate and efficient aeroacoustic computations of multi-dimensional compressible flows has been developed. The core idea of the developed scheme is to unite the advantages of the wavenumber-extended optimized scheme and M-AUSMPW+/MLP schemes by predicting a physical distribution of flow variables more accurately in multi-space dimensions. The wavenumber-extended optimization procedure for the finite volume approach based on the conservative requirement is newly proposed for accuracy enhancement, which is required to capture the acoustic portion of the solution in the smooth region. Furthermore, the new distinguishing mechanism which is based on the Gibbs phenomenon in discontinuity, between continuous and discontinuous regions is introduced to eliminate the excessive numerical dissipation in the continuous region by the restricted application of MLP according to the decision of the distinguishing function. To investigate the effectiveness of the developed method, a sequence of benchmark simulations such as spherical wave propagation, nonlinear wave propagation, shock tube problem and vortex preservation test problem are executed. Also, throughout more realistic shock–vortex interaction and muzzle blast flow problems, the utility of the new method for aeroacoustic applications is verified by comparing with the previous numerical or experimental results.