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DPIV-driven flow simulation: a new computational paradigm

Ma, X. and Karniadakis, G. E. and Park, H. and Gharib, M. (2003) DPIV-driven flow simulation: a new computational paradigm. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 459 (2031). pp. 547-565. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20130911-112619659

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Abstract

We present a new approach to simulating unsteady fluid flows, with only very few degrees of freedom, by employing directly eigenmodes extracted from digital particle image velocimetry experimental data. In particular, we formulate standard Galerkin and nonlinear Galerkin approximations of the incompressible Navier–Stokes equations using hierarchical empirical eigenfunctions extracted from an ensemble of flow snapshots. We demonstrate that standard Galerkin approaches produce simulations capable of capturing the short–term dynamics of the flow, but nonlinear Galerkin projections are more effective in capturing both the short– and long–term dynamics, leading to bounded solutions. These findings are documented by applying these approaches to flow past a stationary circular cylinder at Reynolds number 610.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rspa.2002.0981 DOIArticle
http://rspa.royalsocietypublishing.org/content/459/2031/547PublisherArticle
Additional Information:© 2002 The Royal Society. Received 4 June 2001; revised 4 March 2002; accepted 18 March 2002; published online 16 December 2002. This work was supported by a joint Brown-Caltech NSF grant. Partial support for the numerical work was also provided by DOE and ONR, and computations were performed at the Maui High Performance Supercomputing Center and at Brown’s TCASV SP3.
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Department of Energy (DOE)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:low-dimensional flow modelling; Galerkin and nonlinear Galerkin projections; particle image velocimetry
Issue or Number:2031
Record Number:CaltechAUTHORS:20130911-112619659
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130911-112619659
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41249
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Sep 2013 22:18
Last Modified:03 Oct 2019 05:47

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