The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena
Numerical Analysis
2018-02-20 v3
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.
Keywords
Cite
@article{arxiv.1512.01985,
title = {The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena},
author = {Julius Reiss and Philipp Schulze and Jörn Sesterhenn and Volker Mehrmann},
journal= {arXiv preprint arXiv:1512.01985},
year = {2018}
}
Comments
extended and clarified version