Improved algorithm for solving nonlinear parabolized stability equations
Improved algorithm for solving nonlinear parabolized stability equations
复制标题
求解非线性抛物化稳定性方程的改进算法
DOI：
10.1088/1674-1056/25/8/084701
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发表时间：
2016-06
影响因子：
1.7
通讯作者：
Luo Ji-sheng
中科院分区：
文献类型：
--
作者：
Zhao Lei;Zhang Cun-bo;Liu Jian-xin;Luo Ji-sheng
非线性抛物化稳定性方程（NPSE）方法因其计算效率高、能考虑非平行和非线性效应等优点，已被广泛应用于研究稳定性和转捩机制。然而，在高超声速边界层中，当扰动幅值达到一定程度时，它往往发散。在这项研究中，一个改进的算法求解NPSE的发展。在该算法中，平均流畸变被包含在线性算子中，而不是NPSE中的非线性强迫项。在迭代过程中引入欠松弛因子来计算非线性项，以保证算法的鲁棒性。通过定常横流涡的非线性发展和高超声速边界层中二阶模态扰动的基本共振两个算例验证了所提出的NPSE算法的有效性。直接数值模拟（DNS）的结果被视为比较的基线。该方法与DNS方法的计算结果吻合较好，表明该方法在研究高超声速边界层横流和流向不稳定性方面具有很大的潜力。
Due to its high computational efficiency and ability to consider nonparallel and nonlinear effects, nonlinear parabolized stability equations (NPSE) approach has been widely used to study the stability and transition mechanisms. However, it often diverges in hypersonic boundary layers when the amplitude of disturbance reaches a certain level. In this study, an improved algorithm for solving NPSE is developed. In this algorithm, the mean flow distortion is included into the linear operator instead of into the nonlinear forcing terms in NPSE. An under-relaxation factor for computing the nonlinear terms is introduced during the iteration process to guarantee the robustness of the algorithm. Two case studies, the nonlinear development of stationary crossflow vortices and the fundamental resonance of the second mode disturbance in hypersonic boundary layers, are presented to validate the proposed algorithm for NPSE. Results from direct numerical simulation (DNS) are regarded as the baseline for comparison. Good agreement can be found between the proposed algorithm and DNS, which indicates the great potential of the proposed method on studying the crossflow and streamwise instability in hypersonic boundary layers.
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DOI：
10.1007/s11433-011-4487-6
发表时间：
2011-09
期刊：
Science China Physics,Mechanics & Astonomy
影响因子：
--
作者：
Xu Guoliang;Xiaozhixiang;Fu Song
通讯作者：
Fu Song
超声速平板边界层扰动的非线性相互作用机制
DOI：
10.1007/s11433-014-5568-0
发表时间：
2014-08
期刊：
Science China Physics,Mechanics & Astronomy
影响因子：
--
作者：
Yu Min;Luo JiSheng
通讯作者：
Luo JiSheng
DOI：
10.2514/6.1994-2374
发表时间：
1994-06
期刊：
--
影响因子：
--
作者：
Mengjie Wang;T. Herbert;G. Stuckert
通讯作者：
Mengjie Wang;T. Herbert;G. Stuckert
DOI：
10.2514/6.2003-973
发表时间：
2003-01
期刊：
--
影响因子：
--
作者：
Meelan Choudhari;C. Chang;C. Streett;P. Balakumar
通讯作者：
Meelan Choudhari;C. Chang;C. Streett;P. Balakumar
影响因子：
4.4
作者：
曹伟;黄章峰;周恒
通讯作者：
曹伟;黄章峰;周恒