The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
/ Authors
/ 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.
Journal: SIAM J. Sci. Comput.
DOI: 10.1137/17M1140571