清晨好,您是今天最早来到科研通的研友!由于当前在线用户较少,发布求助请尽量完整地填写文献信息,科研通机器人24小时在线,伴您科研之路漫漫前行!

Spectral proper orthogonal decomposition

数学 分解 纯数学 组合数学 矩阵分解
作者
Moritz Sieber,Kilian Oberleithner,Christian Oliver Paschereit
出处
期刊:arXiv: Fluid Dynamics 被引量:141
标识
DOI:10.1017/jfm.2016.103
摘要

The identification of coherent structures from experimental or numerical data is an essential task when conducting research in fluid dynamics. This typically involves the construction of an empirical mode base that appropriately captures the dominant flow structures. The most prominent candidates are the energy-ranked proper orthogonal decomposition (POD) and the frequency ranked Fourier decomposition and dynamic mode decomposition (DMD). However, these methods fail when the relevant coherent structures occur at low energies or at multiple frequencies, which is often the case. To overcome the deficit of these rigid approaches, we propose a new method termed Spectral Proper Orthogonal Decomposition (SPOD). It is based on classical POD and it can be applied to spatially and temporally resolved data. The new method involves an additional temporal constraint that enables a clear separation of phenomena that occur at multiple frequencies and energies. SPOD allows for a continuous shifting from the energetically optimal POD to the spectrally pure Fourier decomposition by changing a single parameter. In this article, SPOD is motivated from phenomenological considerations of the POD autocorrelation matrix and justified from dynamical system theory. The new method is further applied to three sets of PIV measurements of flows from very different engineering problems. We consider the flow of a swirl-stabilized combustor, the wake of an airfoil with a Gurney flap, and the flow field of the sweeping jet behind a fluidic oscillator. For these examples, the commonly used methods fail to assign the relevant coherent structures to single modes. The SPOD, however, achieves a proper separation of spatially and temporally coherent structures, which are either hidden in stochastic turbulent fluctuations or spread over a wide frequency range.
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
领导范儿应助科研通管家采纳,获得10
4秒前
科研通AI2S应助科研通管家采纳,获得10
4秒前
科研通AI2S应助科研通管家采纳,获得10
4秒前
科研通AI5应助科研通管家采纳,获得10
4秒前
沐浠完成签到 ,获得积分10
30秒前
葛力完成签到,获得积分20
34秒前
科研通AI2S应助葛力采纳,获得10
46秒前
47秒前
宇文非笑完成签到 ,获得积分0
55秒前
科研通AI5应助laodai8855采纳,获得20
56秒前
58秒前
乾坤侠客LW完成签到,获得积分10
1分钟前
2分钟前
lixuebin完成签到 ,获得积分10
2分钟前
科研通AI2S应助葛力采纳,获得10
2分钟前
lxh完成签到 ,获得积分10
2分钟前
2分钟前
2分钟前
laodai8855发布了新的文献求助20
2分钟前
3分钟前
3分钟前
科研通AI5应助梨子茶采纳,获得30
3分钟前
3分钟前
bju发布了新的文献求助10
3分钟前
4分钟前
科研通AI2S应助科研通管家采纳,获得10
4分钟前
搜集达人应助科研通管家采纳,获得10
4分钟前
科研通AI2S应助科研通管家采纳,获得10
4分钟前
bju完成签到,获得积分10
4分钟前
4分钟前
梨子茶发布了新的文献求助30
4分钟前
mczhu完成签到,获得积分10
4分钟前
聪慧芷巧完成签到 ,获得积分10
4分钟前
qqJing完成签到,获得积分10
5分钟前
deallyxyz应助草木采纳,获得10
5分钟前
5分钟前
5分钟前
常有李完成签到,获得积分10
5分钟前
5分钟前
默默孱完成签到 ,获得积分10
5分钟前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
Cognitive Neuroscience: The Biology of the Mind 1000
Technical Brochure TB 814: LPIT applications in HV gas insulated switchgear 1000
Immigrant Incorporation in East Asian Democracies 600
Nucleophilic substitution in azasydnone-modified dinitroanisoles 500
不知道标题是什么 500
A Preliminary Study on Correlation Between Independent Components of Facial Thermal Images and Subjective Assessment of Chronic Stress 500
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 3968504
求助须知:如何正确求助?哪些是违规求助? 3513318
关于积分的说明 11167279
捐赠科研通 3248691
什么是DOI,文献DOI怎么找? 1794414
邀请新用户注册赠送积分活动 875030
科研通“疑难数据库(出版商)”最低求助积分说明 804652