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Statistical Error Estimation Methods for Engineering-Relevant Quantities From Scale-Resolving Simulations

Bergmann, Michael and Morsbach, Christian and Ashcroft, Graham and Kügeler, Edmund (2021) Statistical Error Estimation Methods for Engineering-Relevant Quantities From Scale-Resolving Simulations. ASME Journal of Turbomachinery. American Society of Mechanical Engineers (ASME). doi: 10.1115/1.4052402. ISSN 0889-504X.

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Official URL: https://asmedigitalcollection.asme.org/turbomachinery/article/144/3/031005/1119518/Statistical-Error-Estimation-Methods-for


Scale-resolving simulations, such as large eddy simulations, have become affordable tools to investigate the flow in turbomachinery components. The resulting time-resolved flow field is typically analyzed using first- and second-order statistical moments. However, two sources of uncertainty are present when statistical moments from scale-resolving simulations are computed: the influence of initial transients and statistical errors due to the finite number of samples. In this paper, both are systematically analyzed for several quantities of engineering interest using time series from a long-time large eddy simulation of the low-pressure turbine cascade T106C. A set of statistical tools to either remove or quantify these sources of uncertainty is assessed. First, the Marginal Standard Error Rule is used to detect the end of the initial transient. The method is validated for integral and local quantities and guidelines on how to handle spatially varying initial transients are formulated. With the initial transient reliably removed, the statistical error is estimated based on standard error relations considering correlations in the time series. The resulting confidence intervals are carefully verified for quantities of engineering interest utilizing cumulative and simple moving averages. Furthermore, the influence of periodic content from large scale vortex shedding on the error estimation is studied. Based on the confidence intervals, the required averaging interval to reduce the statistical uncertainty to a specific level is indicated for each considered quantity.

Item URL in elib:https://elib.dlr.de/144399/
Document Type:Article
Title:Statistical Error Estimation Methods for Engineering-Relevant Quantities From Scale-Resolving Simulations
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Bergmann, MichaelMichael.Bergmann (at) dlr.deUNSPECIFIED
Morsbach, ChristianChristian.Morsbach (at) dlr.dehttps://orcid.org/0000-0002-6254-6979
Ashcroft, GrahamGraham.Ashcroft (at) dlr.deUNSPECIFIED
Kügeler, EdmundEdmund.Kuegeler (at) dlr.dehttps://orcid.org/0000-0002-9719-626X
Date:1 October 2021
Journal or Publication Title:ASME Journal of Turbomachinery
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1115/1.4052402
Publisher:American Society of Mechanical Engineers (ASME)
Keywords:Scale-Resolving simulation, Large-Eddy simulation, LES, Statistical Error, Initial Transient, Turbine
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Clean Propulsion
DLR - Research area:Aeronautics
DLR - Program:L CP - Clean Propulsion
DLR - Research theme (Project):L - Virtual Engine
Location: Köln-Porz
Institutes and Institutions:Institute of Propulsion Technology
Deposited By: Bergmann, Michael
Deposited On:11 Oct 2021 08:11
Last Modified:11 Oct 2021 08:11

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