Transition and turbulence decay in the taylor-green vortex

F.F. Grinstein, C. Fureby, D. Drikakis, D. Youngs

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

In this work, Monotone Integrated LES (MILES) and conventional LES models have been used to investigate the Taylor-Green Vortex (TGV) problem. We have examined the behavior of MILES based on various different high-resolution schemes, including 2nd and 4th order FCT, CB-Godunov, and Lagrange Remap algorithms. Conventional LES approaches tested included Smagorinsky, Dynamic Smagorinsky models, One-Equation Eddy-Viscosity model (OEEVM), as well as a mixed model (MM) combining an OEEVM and a scale similarity model. Comparisons of TGV integral measures based on the present simulations are made with previously reported and new DNS data. The results show that all the MILES approaches employed here can provide stable and acceptable (in terms of accuracy) solutions without resorting to an explicit subgrid scale (SGS) model, as well as using relatively coarse grids. The results also show that the kinetic energy dissipation rate does depend on the details of the numerical scheme employed (and its particular associated implicit SGS model). Therefore, even though MILES provides a fairly robust computational framework for LES, there is plenty of room to achieve improvements on MILES performance based on better understanding of the specific dissipation and dispersion properties of the different high-resolution schemes. In particular, further such investigations are clearly warranted in order to gain better insights into the accuracy (and computational behavior in general) of MILES in relation to LES.
LanguageEnglish
Pages8357-8367
Number of pages11
Publication statusPublished - 12 Jan 2006
Event44th AIAA Aerospace Sciences Meeting, 2006 - Reno, NV, United States
Duration: 9 Jan 200612 Jan 2006

Conference

Conference44th AIAA Aerospace Sciences Meeting, 2006
CountryUnited States
CityReno, NV
Period9/01/0612/01/06

Fingerprint

Vortex
Turbulence
Monotone
Vortex flow
Decay
High-resolution Schemes
Subgrid-scale Model
Eddy Viscosity
Viscosity
Mixed Model
Energy Dissipation
Kinetic energy
Lagrange
Model
Numerical Scheme
Dissipation
Dynamic Model
Dynamic models
Energy dissipation
Grid

Keywords

  • Lagrange remap
  • monotone integrated LES (MILES)
  • resolution schemes
  • Smagorinsky models
  • Taylor-green vortex
  • computational methods
  • computer simulation
  • numerical analysis
  • turbulence models
  • viscosity
  • vortex flow

Cite this

Grinstein, F. F., Fureby, C., Drikakis, D., & Youngs, D. (2006). Transition and turbulence decay in the taylor-green vortex. 8357-8367. Paper presented at 44th AIAA Aerospace Sciences Meeting, 2006, Reno, NV, United States.
Grinstein, F.F. ; Fureby, C. ; Drikakis, D. ; Youngs, D. / Transition and turbulence decay in the taylor-green vortex. Paper presented at 44th AIAA Aerospace Sciences Meeting, 2006, Reno, NV, United States.11 p.
@conference{12f1ff7e1823417d9a81899c3cc102e5,
title = "Transition and turbulence decay in the taylor-green vortex",
abstract = "In this work, Monotone Integrated LES (MILES) and conventional LES models have been used to investigate the Taylor-Green Vortex (TGV) problem. We have examined the behavior of MILES based on various different high-resolution schemes, including 2nd and 4th order FCT, CB-Godunov, and Lagrange Remap algorithms. Conventional LES approaches tested included Smagorinsky, Dynamic Smagorinsky models, One-Equation Eddy-Viscosity model (OEEVM), as well as a mixed model (MM) combining an OEEVM and a scale similarity model. Comparisons of TGV integral measures based on the present simulations are made with previously reported and new DNS data. The results show that all the MILES approaches employed here can provide stable and acceptable (in terms of accuracy) solutions without resorting to an explicit subgrid scale (SGS) model, as well as using relatively coarse grids. The results also show that the kinetic energy dissipation rate does depend on the details of the numerical scheme employed (and its particular associated implicit SGS model). Therefore, even though MILES provides a fairly robust computational framework for LES, there is plenty of room to achieve improvements on MILES performance based on better understanding of the specific dissipation and dispersion properties of the different high-resolution schemes. In particular, further such investigations are clearly warranted in order to gain better insights into the accuracy (and computational behavior in general) of MILES in relation to LES.",
keywords = "Lagrange remap, monotone integrated LES (MILES), resolution schemes, Smagorinsky models, Taylor-green vortex, computational methods, computer simulation, numerical analysis, turbulence models, viscosity, vortex flow",
author = "F.F. Grinstein and C. Fureby and D. Drikakis and D. Youngs",
year = "2006",
month = "1",
day = "12",
language = "English",
pages = "8357--8367",
note = "44th AIAA Aerospace Sciences Meeting, 2006 ; Conference date: 09-01-2006 Through 12-01-2006",

}

Grinstein, FF, Fureby, C, Drikakis, D & Youngs, D 2006, 'Transition and turbulence decay in the taylor-green vortex' Paper presented at 44th AIAA Aerospace Sciences Meeting, 2006, Reno, NV, United States, 9/01/06 - 12/01/06, pp. 8357-8367.

Transition and turbulence decay in the taylor-green vortex. / Grinstein, F.F.; Fureby, C.; Drikakis, D.; Youngs, D.

2006. 8357-8367 Paper presented at 44th AIAA Aerospace Sciences Meeting, 2006, Reno, NV, United States.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Transition and turbulence decay in the taylor-green vortex

AU - Grinstein, F.F.

AU - Fureby, C.

AU - Drikakis, D.

AU - Youngs, D.

PY - 2006/1/12

Y1 - 2006/1/12

N2 - In this work, Monotone Integrated LES (MILES) and conventional LES models have been used to investigate the Taylor-Green Vortex (TGV) problem. We have examined the behavior of MILES based on various different high-resolution schemes, including 2nd and 4th order FCT, CB-Godunov, and Lagrange Remap algorithms. Conventional LES approaches tested included Smagorinsky, Dynamic Smagorinsky models, One-Equation Eddy-Viscosity model (OEEVM), as well as a mixed model (MM) combining an OEEVM and a scale similarity model. Comparisons of TGV integral measures based on the present simulations are made with previously reported and new DNS data. The results show that all the MILES approaches employed here can provide stable and acceptable (in terms of accuracy) solutions without resorting to an explicit subgrid scale (SGS) model, as well as using relatively coarse grids. The results also show that the kinetic energy dissipation rate does depend on the details of the numerical scheme employed (and its particular associated implicit SGS model). Therefore, even though MILES provides a fairly robust computational framework for LES, there is plenty of room to achieve improvements on MILES performance based on better understanding of the specific dissipation and dispersion properties of the different high-resolution schemes. In particular, further such investigations are clearly warranted in order to gain better insights into the accuracy (and computational behavior in general) of MILES in relation to LES.

AB - In this work, Monotone Integrated LES (MILES) and conventional LES models have been used to investigate the Taylor-Green Vortex (TGV) problem. We have examined the behavior of MILES based on various different high-resolution schemes, including 2nd and 4th order FCT, CB-Godunov, and Lagrange Remap algorithms. Conventional LES approaches tested included Smagorinsky, Dynamic Smagorinsky models, One-Equation Eddy-Viscosity model (OEEVM), as well as a mixed model (MM) combining an OEEVM and a scale similarity model. Comparisons of TGV integral measures based on the present simulations are made with previously reported and new DNS data. The results show that all the MILES approaches employed here can provide stable and acceptable (in terms of accuracy) solutions without resorting to an explicit subgrid scale (SGS) model, as well as using relatively coarse grids. The results also show that the kinetic energy dissipation rate does depend on the details of the numerical scheme employed (and its particular associated implicit SGS model). Therefore, even though MILES provides a fairly robust computational framework for LES, there is plenty of room to achieve improvements on MILES performance based on better understanding of the specific dissipation and dispersion properties of the different high-resolution schemes. In particular, further such investigations are clearly warranted in order to gain better insights into the accuracy (and computational behavior in general) of MILES in relation to LES.

KW - Lagrange remap

KW - monotone integrated LES (MILES)

KW - resolution schemes

KW - Smagorinsky models

KW - Taylor-green vortex

KW - computational methods

KW - computer simulation

KW - numerical analysis

KW - turbulence models

KW - viscosity

KW - vortex flow

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-34250875607&partnerID=40&md5=8f00db689d594d1de178a0db7003874d

M3 - Paper

SP - 8357

EP - 8367

ER -

Grinstein FF, Fureby C, Drikakis D, Youngs D. Transition and turbulence decay in the taylor-green vortex. 2006. Paper presented at 44th AIAA Aerospace Sciences Meeting, 2006, Reno, NV, United States.