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Verification of a fluid-dynamics solver using correlations with linear stability results

Matheou, G. and Pantano, C. and Dimotakis, P. E. (2008) Verification of a fluid-dynamics solver using correlations with linear stability results. Journal of Computational Physics, 227 (11). pp. 5385-5396. ISSN 0021-9991.

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A novel method is described for verification of fluid-dynamics solvers based on correlations with solutions from linear stability analysis. A difficulty with the linear stability analysis solutions for spatially developing flows is that flow fields typically exhibit exponentially growing features compromising the performance of classical error metrics. This motivates the construction of a projection-based metric that only assumes the shape of the solution and not the growth rate of the perturbations, thus also allowing the latter to be determined. The proposed correlation metric complements classical error metrics, such as p-norms, and can also be used for time-dependent problems with realistic boundary conditions. We demonstrate how the present method can be applied in the verification of an Euler solver for the instability behavior of laminar compressible free and confined shear layers.

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Additional Information:© 2008 Elsevier. Received 4 November 2006; received in revised form 12 January 2008; accepted 25 January 2008. This work was supported by AFOSR Grants FA9550-04-1-0020 and FA9550-04-1-0389, by the Caltech DOE Advanced Simulation and Computing (ASC) Alliance Center under subcontract No. B341492 of DOE contract W-7405-ENG-48, and NSF Grant EIA-0079871. We would like to acknowledge Ralph Deiterding and David Hill for their contributions to and support of the AMROC framework, and Dan Meiron and Dale Pullin for discussions. We would like to thank the Center for Advanced Computing Research at Caltech and the Livermore Computing Center at Lawrence Livermore National Laboratory for technical assistance.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-04-1-0020
Air Force Office of Scientific Research (AFOSR)FA9550-04-1-0389
Department of Energy (DOE)B341492
Department of Energy (DOE)W-7405-ENG-48
Subject Keywords:Verification; Linear stability analysis; Correlation; Projection; Shear layer
Issue or Number:11
Record Number:CaltechAUTHORS:20160602-161905791
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Official Citation:G. Matheou, C. Pantano, P.E. Dimotakis, Verification of a fluid-dynamics solver using correlations with linear stability results, Journal of Computational Physics, Volume 227, Issue 11, 10 May 2008, Pages 5385-5396, ISSN 0021-9991, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67600
Deposited By: Paul Dimotakis
Deposited On:13 Jun 2016 22:16
Last Modified:03 Oct 2019 10:07

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