Streaming Spectral Proper Orthogonal Decomposition

バージョン 1.0.0 (10.4 MB) 作成者: Oliver Schmidt

A low-memory streaming algorithm for spectral proper orthogonal decomposition (SPOD) of stationary random data

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更新 2019/1/11

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A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated cross-spectral density (CSD) matrix is performed. The algorithm requires access to only one temporal snapshot of the data at a time and converges orthogonal sets of SPOD modes at discrete frequencies that are optimally ranked in terms of energy. The algorithm’s low memory requirement enables real-time deployment and allows for the convergence of second-order statistics from arbitrarily long streams of data.

A detailed description of the algorithm and the example (high-fidelity numerical simulation data of a turbulent jet) can be found in:
Schmidt, O. T., and A. Towne. “An Efficient Streaming Algorithm for Spectral Proper Orthogonal Decomposition.” Computer Physics Communications, Nov. 2018, https://doi.org/10.1016/j.cpc.2018.11.009

引用

Schmidt, Oliver T., and Aaron Towne. “An Efficient Streaming Algorithm for Spectral Proper Orthogonal Decomposition.” Computer Physics Communications, Elsevier BV, Nov. 2018, doi:10.1016/j.cpc.2018.11.009.

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バージョン	公開済み	リリースノート
1.0.0	2019/1/11		ダウンロード

MLA	Schmidt, Oliver T., and Aaron Towne. “An Efficient Streaming Algorithm for Spectral Proper Orthogonal Decomposition.” Computer Physics Communications, Elsevier BV, Nov. 2018, doi:10.1016/j.cpc.2018.11.009.
APA	Schmidt, O. T., & Towne, A. (2018). An efficient streaming algorithm for spectral proper orthogonal decomposition. Computer Physics Communications. Elsevier BV. Retrieved from https://doi.org/10.1016%2Fj.cpc.2018.11.009
BibTeX	@article{Schmidt_2018, doi = {10.1016/j.cpc.2018.11.009}, url = {https://doi.org/10.1016%2Fj.cpc.2018.11.009}, year = 2018, month = {nov}, publisher = {Elsevier {BV}}, author = {Oliver T. Schmidt and Aaron Towne}, title = {An efficient streaming algorithm for spectral proper orthogonal decomposition}, journal = {Computer Physics Communications} }