Flux corrected finite-volume scheme for preserving scalar boundedness in large-eddy simulations

Marcus Herrmann; G. Blanquart; V. Raman

Flux corrected finite-volume scheme for preserving scalar boundedness in large-eddy simulations

Marcus Herrmann, G. Blanquart, V. Raman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

LES of turbulent combustion has emerged as a practical tool in the simulation of complex industrial combustors. Most combustion models use the mixture-fraction to track reactions. A robust and consistent numerical scheme for suiving the conserved scalar transport equation is thus of paramount importance. Due to inherent numerical instabilities in the advection component of the equation, currently used methods like the QUICK scheme use an upwind-biased stencil to reduce numerical oscillations. It is observed that such schemes can lead to local values that are outside the physical bounds of the scalar. Here a correction scheme is proposed for the QUICK scheme such that physical bounds are exactly maintained in the simulation domain. It is further shown that the Bounded QUICK (BQUICK) scheme performs betters than a third-order total-variation bounded (TVB) scheme in maintaining spatial accuracy and reducing dispersion errors.

Original language	English (US)
Title of host publication	43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers
Pages	4963-4972
Number of pages	10
State	Published - 2005
Externally published	Yes
Event	43rd AIAA Aerospace Sciences Meeting and Exhibit - Reno, NV, United States Duration: Jan 10 2005 → Jan 13 2005

Other

Other	43rd AIAA Aerospace Sciences Meeting and Exhibit
Country/Territory	United States
City	Reno, NV
Period	1/10/05 → 1/13/05

ASJC Scopus subject areas

General Engineering

Cite this

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title = "Flux corrected finite-volume scheme for preserving scalar boundedness in large-eddy simulations",

abstract = "LES of turbulent combustion has emerged as a practical tool in the simulation of complex industrial combustors. Most combustion models use the mixture-fraction to track reactions. A robust and consistent numerical scheme for suiving the conserved scalar transport equation is thus of paramount importance. Due to inherent numerical instabilities in the advection component of the equation, currently used methods like the QUICK scheme use an upwind-biased stencil to reduce numerical oscillations. It is observed that such schemes can lead to local values that are outside the physical bounds of the scalar. Here a correction scheme is proposed for the QUICK scheme such that physical bounds are exactly maintained in the simulation domain. It is further shown that the Bounded QUICK (BQUICK) scheme performs betters than a third-order total-variation bounded (TVB) scheme in maintaining spatial accuracy and reducing dispersion errors.",

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year = "2005",

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T1 - Flux corrected finite-volume scheme for preserving scalar boundedness in large-eddy simulations

AU - Herrmann, Marcus

AU - Blanquart, G.

AU - Raman, V.

PY - 2005

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N2 - LES of turbulent combustion has emerged as a practical tool in the simulation of complex industrial combustors. Most combustion models use the mixture-fraction to track reactions. A robust and consistent numerical scheme for suiving the conserved scalar transport equation is thus of paramount importance. Due to inherent numerical instabilities in the advection component of the equation, currently used methods like the QUICK scheme use an upwind-biased stencil to reduce numerical oscillations. It is observed that such schemes can lead to local values that are outside the physical bounds of the scalar. Here a correction scheme is proposed for the QUICK scheme such that physical bounds are exactly maintained in the simulation domain. It is further shown that the Bounded QUICK (BQUICK) scheme performs betters than a third-order total-variation bounded (TVB) scheme in maintaining spatial accuracy and reducing dispersion errors.

AB - LES of turbulent combustion has emerged as a practical tool in the simulation of complex industrial combustors. Most combustion models use the mixture-fraction to track reactions. A robust and consistent numerical scheme for suiving the conserved scalar transport equation is thus of paramount importance. Due to inherent numerical instabilities in the advection component of the equation, currently used methods like the QUICK scheme use an upwind-biased stencil to reduce numerical oscillations. It is observed that such schemes can lead to local values that are outside the physical bounds of the scalar. Here a correction scheme is proposed for the QUICK scheme such that physical bounds are exactly maintained in the simulation domain. It is further shown that the Bounded QUICK (BQUICK) scheme performs betters than a third-order total-variation bounded (TVB) scheme in maintaining spatial accuracy and reducing dispersion errors.

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M3 - Conference contribution

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BT - 43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers

T2 - 43rd AIAA Aerospace Sciences Meeting and Exhibit

Y2 - 10 January 2005 through 13 January 2005

ER -

Flux corrected finite-volume scheme for preserving scalar boundedness in large-eddy simulations

Abstract

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ASJC Scopus subject areas

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