A seventh-order accurate weighted compact scheme for shock-associated noise computation
A seventh-order accurate weighted compact scheme for shock-associated noise computation
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DOI：
10.1016/j.jcp.2023.112575
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发表时间：
2023-10
期刊：
影响因子：
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通讯作者：
Hu Li;Conghai Wu;Yong Luo;Xuliang Liu;Shuhai Zhang
中科院分区：
文献类型：
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作者：
Hu Li;Conghai Wu;Yong Luo;Xuliang Liu;Shuhai Zhang
冲击噪声的高保真计算对冲击波捕获格式的精度、线性和非线性谱特性提出了严格的要求。本文提出了一种新的七阶精度的加权非线性紧致格式，以改善原格式的线性和非线性谱特性（Zhang et al.，（2008）[1]）。在单元中心的数值通量是使用基于新的S型平滑指示器的迎风偏置加权非线性插值获得的，该S型平滑指示器对于正弦和余弦函数是恒定的（Wu等人，（2020）[2]）。通过系统的谱分析和数值试验，证明了新格式在中高波数处具有很弱的非线性效应，并减小了耗散和色散。提高了对短波和精细结构的分辨率。它有可能成为计算冲击相关噪声的合适候选者。
High-fidelity computation of shock-associated noise places stringent requirements on the accuracy, linear and nonlinear spectral properties of shock-capturing scheme. In this paper, a novel weighted nonlinear compact scheme with seventh-order accuracy is developed for the purpose of improving the linear and nonlinear spectral properties of original scheme (Zhang et al., (2008) [1]). The numerical fluxes at cell centers are obtained using upwind-biased weighted nonlinear interpolation based on the new S-type smoothness indicator that be constant for sine and cosine functions (Wu et al., (2020) [2]). Through systematic spectral analysis and numerical experiments, it is demonstrated that the newly proposed scheme has very weak nonlinear effect and reduces the dissipation and dispersion at the medium and high wavenumbers. The resolution for the short waves and the fine-scale structures is improved. It has the potential to become a suitable candidate for the computation of shock-associated noise.