Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-4935
Main Title: The shifted proper orthogonal decomposition
Subtitle: a mode decomposition for multiple transport phenomena
Author(s): Reiss, Julius
Schulze, Philipp
Sesterhenn, Jörn
Type: Research Paper
Language Code: en
Abstract: 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.
URI: http://depositonce.tu-berlin.de/handle/11303/5241
http://dx.doi.org/10.14279/depositonce-4935
Issue Date: 2015
Date Available: 12-Jan-2016
DDC Class: DDC::500 Naturwissenschaften und Mathematik::510 Mathematik::518 Numerische Analysis
Subject(s): transport phenomena
model reduction
mode decomposition
shifted proper orthogonal decomposition
proper orthogonal decomposition
principal component analysis
Sponsor/Funder: DFG, SFB 1029, Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics
Usage rights: Terms of German Copyright Law
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 22
Appears in Collections:Technische Universität Berlin » Disziplinübergreifende Projekte (SFB, TR etc.) » SFB 1029 - Turbin » Publications

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