Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow

H. L. Zhang, C. R. Bachman, Hermann F Fasel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this study, a combination of the unsteady incompressible Navier-Stokes equations in vorticityvelocity formulation and the Algebraic Stress Model (ASM) of Gatski and Speziale (1996) is employed for Unsteady Reynolds Averaged Navier-Stokes (URANS) calculations of turbulent boundary layer flows. The Navier-Stokes equations are solved using a fourth-order compact difference scheme in space and a fourth-order Runge-Kutta method in time. The highly accurate numerical method greatly reduces the possibility of contamination of the results by second-order artificial dissipation from the numerical schemes. A flat plate boundary layer subjected to a strong adverse pressure gradient with laminar separation and turbulent reattachment is investigated. Performing URANS calculations for this Aow, we found that unsteady vertical structures remain in the flow field despite the large "effective eddy viscosity" produced by the turbulence model (ASM). This is due to the fact that a special function is used in this turbulence model such that the eddy viscosity is strongly coupled with the unsteady flow structures. For comparison, URANS calculations were also carried out employing the standard k - ∈ model, where in contrast no unsteady vertical structures were found in the flow field. For further comparison, results from 2-D "Direct Numerical Simulation (DNS)" and 3-D Large-Eddy Simulation (LES) using the standard Smagorinski model are also presented and discussed.

Original languageEnglish (US)
Title of host publication38th Aerospace Sciences Meeting and Exhibit
StatePublished - 2000
Event38th Aerospace Sciences Meeting and Exhibit 2000 - Reno, NV, United States
Duration: Jan 10 2000Jan 13 2000

Other

Other38th Aerospace Sciences Meeting and Exhibit 2000
CountryUnited States
CityReno, NV
Period1/10/001/13/00

Fingerprint

unsteady flow
turbulent flow
Turbulent flow
eddy viscosity
turbulence models
Navier-Stokes equation
flow distribution
Turbulence models
Navier Stokes equations
Flow fields
Runge-Kutta method
boundary layer flow
turbulent boundary layer
Navier-Stokes equations
large eddy simulation
Viscosity
flat plates
direct numerical simulation
pressure gradients
flow field

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Zhang, H. L., Bachman, C. R., & Fasel, H. F. (2000). Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow. In 38th Aerospace Sciences Meeting and Exhibit

Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow. / Zhang, H. L.; Bachman, C. R.; Fasel, Hermann F.

38th Aerospace Sciences Meeting and Exhibit. 2000.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhang, HL, Bachman, CR & Fasel, HF 2000, Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow. in 38th Aerospace Sciences Meeting and Exhibit. 38th Aerospace Sciences Meeting and Exhibit 2000, Reno, NV, United States, 1/10/00.
Zhang HL, Bachman CR, Fasel HF. Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow. In 38th Aerospace Sciences Meeting and Exhibit. 2000
Zhang, H. L. ; Bachman, C. R. ; Fasel, Hermann F. / Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow. 38th Aerospace Sciences Meeting and Exhibit. 2000.
@inproceedings{2f18949590144631ad96f693e54d635d,
title = "Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow",
abstract = "In this study, a combination of the unsteady incompressible Navier-Stokes equations in vorticityvelocity formulation and the Algebraic Stress Model (ASM) of Gatski and Speziale (1996) is employed for Unsteady Reynolds Averaged Navier-Stokes (URANS) calculations of turbulent boundary layer flows. The Navier-Stokes equations are solved using a fourth-order compact difference scheme in space and a fourth-order Runge-Kutta method in time. The highly accurate numerical method greatly reduces the possibility of contamination of the results by second-order artificial dissipation from the numerical schemes. A flat plate boundary layer subjected to a strong adverse pressure gradient with laminar separation and turbulent reattachment is investigated. Performing URANS calculations for this Aow, we found that unsteady vertical structures remain in the flow field despite the large {"}effective eddy viscosity{"} produced by the turbulence model (ASM). This is due to the fact that a special function is used in this turbulence model such that the eddy viscosity is strongly coupled with the unsteady flow structures. For comparison, URANS calculations were also carried out employing the standard k - ∈ model, where in contrast no unsteady vertical structures were found in the flow field. For further comparison, results from 2-D {"}Direct Numerical Simulation (DNS){"} and 3-D Large-Eddy Simulation (LES) using the standard Smagorinski model are also presented and discussed.",
author = "Zhang, {H. L.} and Bachman, {C. R.} and Fasel, {Hermann F}",
year = "2000",
language = "English (US)",
booktitle = "38th Aerospace Sciences Meeting and Exhibit",

}

TY - GEN

T1 - Reynolds-averaged Navier-Stokes calculations of unsteady turbulent flow

AU - Zhang, H. L.

AU - Bachman, C. R.

AU - Fasel, Hermann F

PY - 2000

Y1 - 2000

N2 - In this study, a combination of the unsteady incompressible Navier-Stokes equations in vorticityvelocity formulation and the Algebraic Stress Model (ASM) of Gatski and Speziale (1996) is employed for Unsteady Reynolds Averaged Navier-Stokes (URANS) calculations of turbulent boundary layer flows. The Navier-Stokes equations are solved using a fourth-order compact difference scheme in space and a fourth-order Runge-Kutta method in time. The highly accurate numerical method greatly reduces the possibility of contamination of the results by second-order artificial dissipation from the numerical schemes. A flat plate boundary layer subjected to a strong adverse pressure gradient with laminar separation and turbulent reattachment is investigated. Performing URANS calculations for this Aow, we found that unsteady vertical structures remain in the flow field despite the large "effective eddy viscosity" produced by the turbulence model (ASM). This is due to the fact that a special function is used in this turbulence model such that the eddy viscosity is strongly coupled with the unsteady flow structures. For comparison, URANS calculations were also carried out employing the standard k - ∈ model, where in contrast no unsteady vertical structures were found in the flow field. For further comparison, results from 2-D "Direct Numerical Simulation (DNS)" and 3-D Large-Eddy Simulation (LES) using the standard Smagorinski model are also presented and discussed.

AB - In this study, a combination of the unsteady incompressible Navier-Stokes equations in vorticityvelocity formulation and the Algebraic Stress Model (ASM) of Gatski and Speziale (1996) is employed for Unsteady Reynolds Averaged Navier-Stokes (URANS) calculations of turbulent boundary layer flows. The Navier-Stokes equations are solved using a fourth-order compact difference scheme in space and a fourth-order Runge-Kutta method in time. The highly accurate numerical method greatly reduces the possibility of contamination of the results by second-order artificial dissipation from the numerical schemes. A flat plate boundary layer subjected to a strong adverse pressure gradient with laminar separation and turbulent reattachment is investigated. Performing URANS calculations for this Aow, we found that unsteady vertical structures remain in the flow field despite the large "effective eddy viscosity" produced by the turbulence model (ASM). This is due to the fact that a special function is used in this turbulence model such that the eddy viscosity is strongly coupled with the unsteady flow structures. For comparison, URANS calculations were also carried out employing the standard k - ∈ model, where in contrast no unsteady vertical structures were found in the flow field. For further comparison, results from 2-D "Direct Numerical Simulation (DNS)" and 3-D Large-Eddy Simulation (LES) using the standard Smagorinski model are also presented and discussed.

UR - http://www.scopus.com/inward/record.url?scp=84894303827&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84894303827&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84894303827

BT - 38th Aerospace Sciences Meeting and Exhibit

ER -