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Fast Approximated POD for a Flat Plate Benchmark with a Time Varying Angle of Attack

Tadmor, Gilead and Bissex, Daniel and Noack, Bernd R. and Morzyński, Marek and Colonius, Tim and Taira, Kunihiko (2008) Fast Approximated POD for a Flat Plate Benchmark with a Time Varying Angle of Attack. In: 4th Flow Control Conference, 23-26 June 2008, Seattle, WA. https://resolver.caltech.edu/CaltechAUTHORS:20190717-102320576

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Abstract

An approximate POD algorithm provides an empirical Galerkin approximation with guaranteed a priori lower bound on the required resolution. The snapshot ensemble is partitioned into several sub-ensembles. Cross correlations between these sub-ensembles are approximated in terms of a far smaller correlation matrix. Computational speedup is nearly linear in the number of partitions, up to a saturation that can be estimated a priori. The algorithm is particularly suitable for analyzing long transient trajectories of high dimensional simulations, but can be applied also for spatial partitioning and parallel processing of very high spatial dimension data. The algorithm is demonstrated using transient data from two simulations. First, a two dimensional simulation of the flow over a flat plate, as it transitions from AOA = 30° to a horizontal position and back. Second, a three dimensional simulation of a flat plate with aspect ratio two as it transitions from a horizontal position to AOA = 30°.


Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2008-4191DOIConference Paper
https://arc.aiaa.org/doi/10.2514/6.2008-4191PublisherConference Paper
ORCID:
AuthorORCID
Colonius, Tim0000-0003-0326-3909
Taira, Kunihiko0000-0002-3762-8075
Additional Information:© 2008 by Gilead Tadmor. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Published Online: 15 Jun 2012. We gratefully acknowledge the support for this work by the U.S. Air Force Office of Scientific Research (FA9550-05-0369 and FA9550-06-1-0373) with program manager Dr. Fariba Fahroo.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-05-0369
Air Force Office of Scientific Research (AFOSR)FA9550-06-1-0373
Subject Keywords:Flow Control
Other Numbering System:
Other Numbering System NameOther Numbering System ID
AIAA Paper2008-4191
Record Number:CaltechAUTHORS:20190717-102320576
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190717-102320576
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97217
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:18 Jul 2019 21:44
Last Modified:09 Mar 2020 13:19

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