Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer

V. Kitsios; C. Atkinson; J. A. Sillero; G. Borrell; A. G. Gungor; J. Jiménez; J. Soria

doi:10.1016/j.ijheatfluidflow.2016.04.008

Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer

V. Kitsios^*, C. Atkinson, J. A. Sillero, G. Borrell, A. G. Gungor, J. Jiménez, J. Soria

^*Corresponding author for this work

Department of Astronautical Engineering

Research output: Contribution to journal › Article › peer-review

59 Citations (Scopus)

Abstract

The statistical properties of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) are presented. The flow is generated via the direct numerical simulation of a TBL on a flat surface with a farfield boundary condition designed to apply the desired pressure gradient. The conditions for self-similarity and appropriate scaling are derived, with the mean profiles, Reynolds stress profiles, and turbulent kinetic energy budgets non-dimensionalised using this scaling. The APG TBL has a momentum thickness based Reynolds number range from Re_δ2=300 to 6000, with a self-similar region spanning a Reynolds number range from Re_δ2=3500 to 4800. Within this range the non-dimensional pressure gradient parameter β=1. Two-point correlations of each of the velocity components in the streamwise/wall-normal plane are also presented, which illustrate the statistical imprint of the structures in this plane for the APG TBL.

Original language	English
Pages (from-to)	129-136
Number of pages	8
Journal	International Journal of Heat and Fluid Flow
Volume	61
DOIs	https://doi.org/10.1016/j.ijheatfluidflow.2016.04.008
Publication status	Published - 1 Oct 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Funding

The authors would like to acknowledge the research funding from the Australian Research Council , and the computational resources provided by the Australian National Computational Infrastructure, iVEC and PRACE. Julio Soria gratefully acknowledges the support of an Australian Research Council Discovery Outstanding Researcher Award fellowship.

Funders	Funder number
Australian Research Council
Partnership for Advanced Computing in Europe AISBL

Keywords

Adverse pressure gradient
Direct numerical simulation
Turbulent boundary layer

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10.1016/j.ijheatfluidflow.2016.04.008

Cite this

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title = "Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer",

abstract = "The statistical properties of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) are presented. The flow is generated via the direct numerical simulation of a TBL on a flat surface with a farfield boundary condition designed to apply the desired pressure gradient. The conditions for self-similarity and appropriate scaling are derived, with the mean profiles, Reynolds stress profiles, and turbulent kinetic energy budgets non-dimensionalised using this scaling. The APG TBL has a momentum thickness based Reynolds number range from Reδ2=300 to 6000, with a self-similar region spanning a Reynolds number range from Reδ2=3500 to 4800. Within this range the non-dimensional pressure gradient parameter β=1. Two-point correlations of each of the velocity components in the streamwise/wall-normal plane are also presented, which illustrate the statistical imprint of the structures in this plane for the APG TBL.",

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AU - Kitsios, V.

AU - Atkinson, C.

AU - Sillero, J. A.

AU - Borrell, G.

AU - Gungor, A. G.

AU - Jiménez, J.

AU - Soria, J.

PY - 2016/10/1

Y1 - 2016/10/1

N2 - The statistical properties of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) are presented. The flow is generated via the direct numerical simulation of a TBL on a flat surface with a farfield boundary condition designed to apply the desired pressure gradient. The conditions for self-similarity and appropriate scaling are derived, with the mean profiles, Reynolds stress profiles, and turbulent kinetic energy budgets non-dimensionalised using this scaling. The APG TBL has a momentum thickness based Reynolds number range from Reδ2=300 to 6000, with a self-similar region spanning a Reynolds number range from Reδ2=3500 to 4800. Within this range the non-dimensional pressure gradient parameter β=1. Two-point correlations of each of the velocity components in the streamwise/wall-normal plane are also presented, which illustrate the statistical imprint of the structures in this plane for the APG TBL.

AB - The statistical properties of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) are presented. The flow is generated via the direct numerical simulation of a TBL on a flat surface with a farfield boundary condition designed to apply the desired pressure gradient. The conditions for self-similarity and appropriate scaling are derived, with the mean profiles, Reynolds stress profiles, and turbulent kinetic energy budgets non-dimensionalised using this scaling. The APG TBL has a momentum thickness based Reynolds number range from Reδ2=300 to 6000, with a self-similar region spanning a Reynolds number range from Reδ2=3500 to 4800. Within this range the non-dimensional pressure gradient parameter β=1. Two-point correlations of each of the velocity components in the streamwise/wall-normal plane are also presented, which illustrate the statistical imprint of the structures in this plane for the APG TBL.

KW - Adverse pressure gradient

KW - Direct numerical simulation

KW - Turbulent boundary layer

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JO - International Journal of Heat and Fluid Flow

JF - International Journal of Heat and Fluid Flow

ER -

Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer

Abstract

Bibliographical note

Funding

Keywords

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