Proper orthogonal and dynamic mode decomposition of sunspot data

被引：21

作者：

Albidah, A. B. ^{[1
,2
]}

Brevis, W. ^{[3
]}

Fedun, V. ^{[4
]}

Ballai, I. ^{[1
]}

Jess, D. B. ^{[5
,6
]}

Stangalini, M. ^{[7
]}

Higham, J. ^{[8
]}

Verth, G. ^{[1
]}

机构：

[1] Univ Sheffield, Sch Math & Stat, Plasma Dynam Grp, Hicks Bldg,Hounsfield Rd, Sheffield S3 7RH, S Yorkshire, England

[2] Majmaah Univ, Dept Math, Coll Sci Al Zulfi, Al Majmaah, Saudi Arabia

[3] Pontificia Univ Catolica Chile, Sch Engn, Santiago, Chile

[4] Univ Sheffield, Dept Automat Control & Syst Engn, Plasma Dynam Grp, Mappin St, Sheffield S1 3JD, S Yorkshire, England

[5] Queens Univ, Sch Math & Phys, Astrophys Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

[6] Calif State Univ Northridge, Dept Phys & Astron, Northridge, CA 91330 USA

[7] ASI Italian Space Agcy, Via Politecn Snc, I-00133 Rome, Italy

[8] Univ Liverpool, Sch Environm Sci, Dept Geog & Planning, Roxby Bldg, Liverpool L69 7ZT, Merseyside, England

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2021年 / 379卷 / 2190期

基金：

英国科学技术设施理事会;

关键词：

magnetohydrodynamic; proper orthogonal decomposition; dynamic mode decomposition; sunspots; waves; POINTS;

D O I：

10.1098/rsta.2020.0181

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

High-resolution solar observations show the complex structure of the magnetohydrodynamic (MHD) wave motion. We apply the techniques of proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) to identify the dominant MHD wave modes in a sunspot using the intensity time series. The POD technique was used to find modes that are spatially orthogonal, whereas the DMD technique identifies temporal orthogonality. Here, we show that the combined POD and DMD approaches can successfully identify both sausage and kink modes in a sunspot umbra with an approximately circular cross-sectional shape. This article is part of the Theo Murphy meeting issue 'High-resolution wave dynamics in the lower solar atmosphere'.

引用

页数：11

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