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README.md

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## Description
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**PySPOD** is a Python package that implements the so-called **Spectral Proper Orthgonal Decomposition** whose name was first conied by (picard-&-delville-2000), and goes back to the original work by (lumley-1970). The implementation proposed here follows the original contributions by (towne-et-al.-2018), (schmidt-&-towne-2019).
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**PySPOD** is a Python package that implements the so-called **Spectral Proper Orthgonal Decomposition** whose name was first conied by (picard-&-delville-2000), and goes back to the original work by [(Lumley 1970)](#lumley-1970). The implementation proposed here follows the original contributions by [Towne et al. 2018](#towne-et-al.-2018), [Schmidt & Towne 2019](#schmidt-&-towne-2019).
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**Spectral Proper Orthgonal Decomposition (SPOD)** has been extensively used in the past few years to identify spatio-temporal coherent pattern in a variety of datasets, mainly in the fluidmechanics and climate communities. In fluidmechanics it was applied to jets (Schmidt et al. 2017), wakes (Colonius & Dabiri 2017), and boundary layers (Tutkun & George 2017), among others, while in weather and climate it was applied to ECMWF reanalysis datasets under the name Spectral Empirical Orthogonal Function, or SEOF, (Schmidt et al. 2019).
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## References
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###### (Lumley 1970)
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#### (Lumley 1970)
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*Stochastic Tools in Turbulence.*
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[[DOI](https://www.elsevier.com/books/stochastic-tools-in-turbulence/lumey/978-0-12-395772-6?aaref=https%3A%2F%2Fwww.google.com)]
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###### (Picard & Delville 2000)
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#### (Picard & Delville 2000)
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*Pressure velocity coupling in a subsonic round jet.*
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[[DOI](https://www.sciencedirect.com/science/article/abs/pii/S0142727X00000217)]
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###### (Tutkun & George 2017)
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#### Tutkun & George 2017
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*Lumley decomposition of turbulent boundary layer at high Reynolds numbers.*
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[[DOI](https://aip.scitation.org/doi/10.1063/1.4974746)]
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###### (Schmidt et al. 2017)
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#### Schmidt et al. 2017
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*Wavepackets and trapped acoustic modes in a turbulent jet: coherent structure eduction and global stability.*
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[[DOI](https://doi.org/10.1017/jfm.2017.407)]
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###### (Araya et al. 2017)
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#### Araya et al. 2017
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*Transition to bluff-body dynamics in the wake of vertical-axis wind turbines.*
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[[DOI]( https://doi.org/10.1017/jfm.2016.862)]
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###### (Taira et al. 2017)
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#### Taira et al. 2017
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*Modal analysis of fluid flows: An overview.*
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[[DOI](https://doi.org/10.2514/1.J056060)]
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###### (Towne et al. 2018)
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#### Towne et al. 2018
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*Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis.*
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[[DOI]( https://doi.org/10.1017/jfm.2018.283)]
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###### (Schmidt & Towne 2019)
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#### Schmidt & Towne 2019
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*An efficient streaming algorithm for spectral proper orthogonal decomposition.*
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[[DOI](https://doi.org/10.1016/j.cpc.2018.11.009)]
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###### (Schmidt et al. 2019)
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#### Schmidt et al. 2019
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*Spectral empirical orthogonal function analysis of weather and climate data.*
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[[DOI](https://doi.org/10.1175/MWR-D-18-0337.1)]
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###### (Schmidt & Colonius 2020)
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#### Schmidt & Colonius 2020
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*Guide to spectral proper orthogonal decomposition.*
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[[DOI](https://doi.org/10.2514/1.J058809)]
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