The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena

2015/12/07 by Reiss, Julius, Schulze, Philipp, Sesterhenn, Jörn +1 · 4 citations
#35Q35 #65Z05 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1512.01985

Abstract

Transport-dominated phenomena provide a challenge for common mode-based model reduction approaches. We present a model reduction method, which is suited for these kind of systems. It 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 \it 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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