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# Revisiting the Higher-Order Statistical Moments in Turbulent Pipe Flow Using Direct Numerical Simulations

Bauer, Christian and Feldmann, Daniel and Wagner, Claus (2018) Revisiting the Higher-Order Statistical Moments in Turbulent Pipe Flow Using Direct Numerical Simulations. In: New Results in Numerical and Experimental Fluid Mechanics XI Notes on Numerical Fluid Mechanics an Multidiciplinary Design 136, 136. Springer, Cham. pp. 75-84. doi: 10.1007/978-3-319-64519-3_7. ISBN 978-3-319-64518-6. ISSN 1612-2909.

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## Abstract

Direct numerical simulations of turbulent pipe flow in a flow domain of length $$L=42R$$ and a friction Reynolds number of $$Re_{\tau } =180$$ and two different wall normal grid refinements were carried out and investigated in terms of turbulent high-order statistics. The phenomenology of large local wall-normal velocity fluctuations ( velocity spikes ), is discussed through time series and instantaneous flow field realizations. Due to their rare appearance both in space and time, statistical high-order moments take long time to converge. A convergence study is performed and for fully converged statistics the sensitivity of the wall-normal kurtosis component value on the wall is investigated. The fourth order statistical moment of the wall-normal velocity needs to be integrated at least $$\varDelta \tau ^+ = 2.4\cdot 10^{11}$$ units of an averaging coordinate in time and space to obtain a fully converged flatness value in the very vicinity of the wall. Furthermore, a near-wall grid spacing of at least $$\varDelta r^+=0.11$$ is needed to fully satisfy the no-slip boundary condition in terms of wall-normal flatness.

Item URL in elib:https://elib.dlr.de/115359/
Document Type:Contribution to a Collection
Additional Information:First Online: 31 October 2017; Online ISBN 978-3-319-64519-3; Series Online ISSN 1860-0824
Title:Revisiting the Higher-Order Statistical Moments in Turbulent Pipe Flow Using Direct Numerical Simulations
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Bauer, ChristianChristian.Bauer (at) dlr.deUNSPECIFIED
Feldmann, DanielDaniel.Feldmann (at) dlr.deUNSPECIFIED
Wagner, ClausClaus.Wagner (at) dlr.deUNSPECIFIED
Date:2018
Journal or Publication Title:New Results in Numerical and Experimental Fluid Mechanics XI
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:136
DOI :10.1007/978-3-319-64519-3_7
Page Range:pp. 75-84
Editors:
EditorsEmailEditor's ORCID iD
Dillmann, AndreasDLR GöttingenUNSPECIFIED
Krämer, EwaldUNI StuttgartUNSPECIFIED
Wagner, ClausDLR GÖttingenUNSPECIFIED
Bansmer, StephanTU BaraunschweigUNSPECIFIED
Semaan, RichardTU BraunschweigUNSPECIFIED
Publisher:Springer, Cham
Series Name:Notes on Numerical Fluid Mechanics an Multidiciplinary Design 136
ISSN:1612-2909
ISBN:978-3-319-64518-6
Status:Published
Keywords:DNS, Turbulent Pipe Flow
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles (old)
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Next Generation Train III (old)
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Fluid Systems, GO
Deposited By: Bachmann, Barbara
Deposited On:21 Nov 2017 11:05