Inhalt des Dokuments
Preprint 22-2015
The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena
Author(s) :
Julius Reiss
,
Philipp Schulze
,
Jörn Sesterhenn
,
Volker Mehrmann
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 22-2015
MSC 2000
- 65Z05 Applications to physics
-
35Q35 Other equations arising in fluid mechanics
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 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 :
transport phenomena, model reduction, mode decomposition, shifted proper orthogonal decomposition, proper orthogonal decomposition, principal component analysis