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The shifted proper orthogonal decomposition: a mode decomposition for multiple transport phenomena
Zitatschlüssel Reiss.2015
Autor Reiss, Julius and Schulze, Philipp and Sesterhenn, Jörn
Jahr 2015
DOI 10.14279/depositonce-4935
Verlag Technische Universität Berlin
Institution Technische Universität Berlin
Zusammenfassung Transport-dominated phenomena provide a challenge for common mode-based model reduction approaches. We present a model reduction method, which extends the proper orthogonal decomposition (POD) by introducing time-dependent shifts of the snapshot matrix. The approach, called shifted proper orthogonal decomposition (sPOD), features a determination of the multiple transport velocities and a separation of these. One- and two-dimensional test examples reveal the good performance of the sPOD for transport-dominated phenomena and its superiority in comparison to the POD.
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