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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)](#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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**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 and Towne 2019)](#schmidt-and-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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*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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*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 and 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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