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• W4316690596 abstract "Dynamic mode decomposition (DMD) describes complex dynamic processes through a hierarchy of simpler coherent features. DMD is regularly used to understand the fundamental characteristics of turbulence and is closely related to Koopman operators. However, verifying the decomposition, equivalently the computed spectral features of Koopman operators, remains a significant challenge due to the infinite-dimensional nature of Koopman operators. Challenges include spurious (unphysical) modes and dealing with continuous spectra, which both occur regularly in turbulent flows. Residual dynamic mode decomposition (ResDMD), introduced by Colbrook & Townsend (Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. 2021. arXiv:2111.14889), overcomes such challenges through the data-driven computation of residuals associated with the full infinite-dimensional Koopman operator. ResDMD computes spectra and pseudospectra of general Koopman operators with error control and computes smoothed approximations of spectral measures (including continuous spectra) with explicit high-order convergence theorems. ResDMD thus provides robust and verified Koopmanism. We implement ResDMD and demonstrate its application in various fluid dynamic situations at varying Reynolds numbers from both numerical and experimental data. Examples include vortex shedding behind a cylinder, hot-wire data acquired in a turbulent boundary layer, particle image velocimetry data focusing on a wall-jet flow and laser-induced plasma acoustic pressure signals. We present some advantages of ResDMD: the ability to resolve nonlinear and transient modes verifiably; the verification of learnt dictionaries; the verification of Koopman mode decompositions; and spectral calculations with reduced broadening effects. We also discuss how a new ordering of modes via residuals enables greater accuracy than the traditional modulus ordering (e.g. when forecasting) with a smaller dictionary. This result paves the way for more significant dynamic compression of large datasets without sacrificing accuracy." @default.
• W4316690596 created "2023-01-17" @default.
• W4316690596 creator A5022171536 @default.
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• W4316690596 date "2023-01-17" @default.
• W4316690596 modified "2023-10-16" @default.
• W4316690596 title "Residual dynamic mode decomposition: robust and verified Koopmanism" @default.
• W4316690596 cites W149522324 @default.
• W4316690596 cites W1588125963 @default.
• W4316690596 cites W1723433682 @default.
• W4316690596 cites W1990318523 @default.
• W4316690596 cites W1997054581 @default.
• W4316690596 cites W2001097642 @default.
• W4316690596 cites W2014356541 @default.
• W4316690596 cites W2040690030 @default.
• W4316690596 cites W2058775581 @default.
• W4316690596 cites W2060806808 @default.
• W4316690596 cites W2063819580 @default.
• W4316690596 cites W2064361774 @default.
• W4316690596 cites W2066060292 @default.
• W4316690596 cites W2067035505 @default.
• W4316690596 cites W2074057741 @default.
• W4316690596 cites W2080914886 @default.
• W4316690596 cites W2094686470 @default.
• W4316690596 cites W2097098299 @default.
• W4316690596 cites W2103978756 @default.
• W4316690596 cites W2105338713 @default.
• W4316690596 cites W2121496177 @default.
• W4316690596 cites W2126479355 @default.
• W4316690596 cites W2126999002 @default.
• W4316690596 cites W2151084831 @default.
• W4316690596 cites W2160375049 @default.
• W4316690596 cites W2164954534 @default.
• W4316690596 cites W2167651376 @default.
• W4316690596 cites W2171582747 @default.
• W4316690596 cites W2172945660 @default.
• W4316690596 cites W2265020672 @default.
• W4316690596 cites W2266274954 @default.
• W4316690596 cites W2341174028 @default.
• W4316690596 cites W2346717862 @default.
• W4316690596 cites W2395962256 @default.
• W4316690596 cites W2462430224 @default.
• W4316690596 cites W2532817592 @default.
• W4316690596 cites W2549774780 @default.
• W4316690596 cites W2556930732 @default.
• W4316690596 cites W2594932112 @default.
• W4316690596 cites W2604485079 @default.
• W4316690596 cites W2648653857 @default.
• W4316690596 cites W2730644873 @default.
• W4316690596 cites W2734671533 @default.
• W4316690596 cites W2767099474 @default.
• W4316690596 cites W2795833322 @default.
• W4316690596 cites W2901625726 @default.
• W4316690596 cites W2910566511 @default.
• W4316690596 cites W2948064061 @default.
• W4316690596 cites W2953392960 @default.
• W4316690596 cites W2962782996 @default.
• W4316690596 cites W2963013180 @default.
• W4316690596 cites W2963448313 @default.
• W4316690596 cites W2964350754 @default.
• W4316690596 cites W2981080108 @default.
• W4316690596 cites W2987245967 @default.
• W4316690596 cites W3006550916 @default.
• W4316690596 cites W3019988632 @default.
• W4316690596 cites W3038118776 @default.
• W4316690596 cites W3048559000 @default.
• W4316690596 cites W3088148763 @default.
• W4316690596 cites W3090325895 @default.
• W4316690596 cites W3098607878 @default.
• W4316690596 cites W3098709846 @default.
• W4316690596 cites W3099211663 @default.
• W4316690596 cites W3099674394 @default.
• W4316690596 cites W3099803807 @default.
• W4316690596 cites W3100610601 @default.
• W4316690596 cites W3105713006 @default.
• W4316690596 cites W3125135891 @default.
• W4316690596 cites W3128239482 @default.
• W4316690596 cites W3128722827 @default.
• W4316690596 cites W3129637124 @default.
• W4316690596 cites W3133989388 @default.
• W4316690596 cites W3153337028 @default.
• W4316690596 cites W3173399907 @default.
• W4316690596 cites W3173536202 @default.
• W4316690596 cites W3189651510 @default.
• W4316690596 cites W3203014670 @default.
• W4316690596 cites W4210968171 @default.
• W4316690596 cites W4214671029 @default.
• W4316690596 cites W4224071957 @default.
• W4316690596 cites W4225773934 @default.
• W4316690596 cites W4238160257 @default.
• W4316690596 cites W4246313583 @default.
• W4316690596 doi "https://doi.org/10.1017/jfm.2022.1052" @default.
• W4316690596 hasPublicationYear "2023" @default.
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