A Finite Volume Approach to Compressible Large Eddy Simulations

B.J. Geurts; J.G.M. Kuerten; A.W. Vreman; V. Theofilis; P.J. Zandbergen

doi:10.1007/978-94-011-1689-3_52

A Finite Volume Approach to Compressible Large Eddy Simulations

B.J. Geurts, J.G.M. Kuerten, A.W. Vreman, V. Theofilis, P.J. Zandbergen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

We present Large Eddy Simulations of compressible turbulent flow within a finite volume approach with central spatial differencing. Different spatial discretisations yield quite different predictions of fluctuating flow properties although mean and integral flow properties appeared less sensitive. In the case of homogeneous, isotropic, decaying turbulence the Kolmogorov -(5/3) law is reproduced if the convective and viscous fluxes are treated with Simpson’s cell vertex method. For the temporal flat plate exponentially growing unstable modes are recovered in the linear regime. Moreover, a scheme in which the viscous fluxes are treated with a ‘vertex based’ method is required in order to properly capture the saturation of growing fluctuations, due to nonlinear interactions.

Original language	English
Title of host publication	Advances in Turbulence IV
Subtitle of host publication	Proceedings of the fourth European Turbulence Conference 30th June – 3rd July 1992
Editors	F.T.M. Nieuwstadt
Publisher	Kluwer Academic Publishers
Pages	325-329
Number of pages	5
ISBN (Electronic)	978-94-011-1689-3
ISBN (Print)	978-94-010-4739-5
DOIs	https://doi.org/10.1007/978-94-011-1689-3_52
Publication status	Published - 1993
Event	4th European Turbulence Conference, ETC IV 1992 - Delft, Netherlands Duration: 30 Jun 1992 → 3 Jul 1992 Conference number: 1992

Publication series

Name	Fluid Mechanics and Its Applications
Publisher	Kluwer Academic Publishers
Volume	18
ISSN (Print)	0926-5112

Conference

Conference	4th European Turbulence Conference, ETC IV 1992
Abbreviated title	ETC
Country/Territory	Netherlands
City	Delft
Period	30/06/92 → 3/07/92

Keywords

Finite volume
Compressible LES
Linear instability

Access to Document

10.1007/978-94-011-1689-3_52

1 Citations
1 Conference article

A Finite Volume Approach to Compressible Large Eddy Simulations
Geurts, B. J., Kuerten, J. G. M., Vreman, A. W., Theofilis, V. & Zandbergen, P. J., 1993, In: Applied scientific research. 51, 1-2, p. 325-329 5 p.
Research output: Contribution to journal › Conference article › Academic › peer-review

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Geurts, B. J., Kuerten, J. G. M., Vreman, A. W., Theofilis, V., & Zandbergen, P. J. (1993). A Finite Volume Approach to Compressible Large Eddy Simulations. In F. T. M. Nieuwstadt (Ed.), Advances in Turbulence IV: Proceedings of the fourth European Turbulence Conference 30th June – 3rd July 1992 (pp. 325-329). (Fluid Mechanics and Its Applications; Vol. 18). Kluwer Academic Publishers. https://doi.org/10.1007/978-94-011-1689-3_52

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title = "A Finite Volume Approach to Compressible Large Eddy Simulations",

abstract = "We present Large Eddy Simulations of compressible turbulent flow within a finite volume approach with central spatial differencing. Different spatial discretisations yield quite different predictions of fluctuating flow properties although mean and integral flow properties appeared less sensitive. In the case of homogeneous, isotropic, decaying turbulence the Kolmogorov -(5/3) law is reproduced if the convective and viscous fluxes are treated with Simpson{\textquoteright}s cell vertex method. For the temporal flat plate exponentially growing unstable modes are recovered in the linear regime. Moreover, a scheme in which the viscous fluxes are treated with a {\textquoteleft}vertex based{\textquoteright} method is required in order to properly capture the saturation of growing fluctuations, due to nonlinear interactions.",

keywords = "Finite volume, Compressible LES, Linear instability",

author = "B.J. Geurts and J.G.M. Kuerten and A.W. Vreman and V. Theofilis and P.J. Zandbergen",

year = "1993",

doi = "10.1007/978-94-011-1689-3_52",

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pages = "325--329",

editor = "F.T.M. Nieuwstadt",

booktitle = "Advances in Turbulence IV",

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Geurts, BJ, Kuerten, JGM, Vreman, AW, Theofilis, V & Zandbergen, PJ 1993, A Finite Volume Approach to Compressible Large Eddy Simulations. in FTM Nieuwstadt (ed.), Advances in Turbulence IV: Proceedings of the fourth European Turbulence Conference 30th June – 3rd July 1992. Fluid Mechanics and Its Applications, vol. 18, Kluwer Academic Publishers, pp. 325-329, 4th European Turbulence Conference, ETC IV 1992, Delft, Netherlands, 30/06/92. https://doi.org/10.1007/978-94-011-1689-3_52

A Finite Volume Approach to Compressible Large Eddy Simulations. / Geurts, B.J.; Kuerten, J.G.M.; Vreman, A.W. et al.
Advances in Turbulence IV: Proceedings of the fourth European Turbulence Conference 30th June – 3rd July 1992. ed. / F.T.M. Nieuwstadt. Kluwer Academic Publishers, 1993. p. 325-329 (Fluid Mechanics and Its Applications; Vol. 18).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Geurts, B.J.

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AU - Vreman, A.W.

AU - Theofilis, V.

AU - Zandbergen, P.J.

N1 - Conference code: 1992

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N2 - We present Large Eddy Simulations of compressible turbulent flow within a finite volume approach with central spatial differencing. Different spatial discretisations yield quite different predictions of fluctuating flow properties although mean and integral flow properties appeared less sensitive. In the case of homogeneous, isotropic, decaying turbulence the Kolmogorov -(5/3) law is reproduced if the convective and viscous fluxes are treated with Simpson’s cell vertex method. For the temporal flat plate exponentially growing unstable modes are recovered in the linear regime. Moreover, a scheme in which the viscous fluxes are treated with a ‘vertex based’ method is required in order to properly capture the saturation of growing fluctuations, due to nonlinear interactions.

AB - We present Large Eddy Simulations of compressible turbulent flow within a finite volume approach with central spatial differencing. Different spatial discretisations yield quite different predictions of fluctuating flow properties although mean and integral flow properties appeared less sensitive. In the case of homogeneous, isotropic, decaying turbulence the Kolmogorov -(5/3) law is reproduced if the convective and viscous fluxes are treated with Simpson’s cell vertex method. For the temporal flat plate exponentially growing unstable modes are recovered in the linear regime. Moreover, a scheme in which the viscous fluxes are treated with a ‘vertex based’ method is required in order to properly capture the saturation of growing fluctuations, due to nonlinear interactions.

KW - Finite volume

KW - Compressible LES

KW - Linear instability

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M3 - Conference contribution

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BT - Advances in Turbulence IV

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Geurts BJ, Kuerten JGM, Vreman AW, Theofilis V, Zandbergen PJ. A Finite Volume Approach to Compressible Large Eddy Simulations. In Nieuwstadt FTM, editor, Advances in Turbulence IV: Proceedings of the fourth European Turbulence Conference 30th June – 3rd July 1992. Kluwer Academic Publishers. 1993. p. 325-329. (Fluid Mechanics and Its Applications). doi: 10.1007/978-94-011-1689-3_52

A Finite Volume Approach to Compressible Large Eddy Simulations

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A Finite Volume Approach to Compressible Large Eddy Simulations

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