Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations

A simplified chemistry based three-dimensional Direct Numerical Simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with a range of different values of turbulent Reynolds number has been used for the a priori modelling of the curvature term of the generalis...

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Main Authors: Mohit Katragadda, Nilanjan Chakraborty
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Combustion
Online Access:http://dx.doi.org/10.1155/2012/915482
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author Mohit Katragadda
Nilanjan Chakraborty
author_facet Mohit Katragadda
Nilanjan Chakraborty
author_sort Mohit Katragadda
collection DOAJ
description A simplified chemistry based three-dimensional Direct Numerical Simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with a range of different values of turbulent Reynolds number has been used for the a priori modelling of the curvature term of the generalised Flame Surface Density (FSD) transport equation in the context of Large Eddy Simulation (LES). The curvature term has been split into the contributions arising due to the reaction and normal diffusion components of displacement speed and the term originating from the tangential diffusion component of displacement speed. Subsequently, these contributions of the curvature term have been split into the resolved and subgrid contributions. New models have been proposed for the subgrid curvature terms arising from the combined reaction and normal diffusion components and the tangential diffusion component of displacement speed. The performances of the new model and the existing models for the subgrid curvature term have been compared with the corresponding quantity extracted from the explicitly filtered DNS data. The new model for the subgrid curvature term is shown to perform satisfactorily in all cases considered in the current study, accounting for wide variations in LES filter size.
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institution Kabale University
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2090-1976
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spelling doaj-art-6fad1b8293e94c2aa10fbebb9d2f57d12025-02-03T05:52:36ZengWileyJournal of Combustion2090-19682090-19762012-01-01201210.1155/2012/915482915482Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy SimulationsMohit Katragadda0Nilanjan Chakraborty1School of Mechanical and Systems Engineering, Newcastle University, Claremont Road, Newcastle upon Tyne NE1 7RU, UKSchool of Mechanical and Systems Engineering, Newcastle University, Claremont Road, Newcastle upon Tyne NE1 7RU, UKA simplified chemistry based three-dimensional Direct Numerical Simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with a range of different values of turbulent Reynolds number has been used for the a priori modelling of the curvature term of the generalised Flame Surface Density (FSD) transport equation in the context of Large Eddy Simulation (LES). The curvature term has been split into the contributions arising due to the reaction and normal diffusion components of displacement speed and the term originating from the tangential diffusion component of displacement speed. Subsequently, these contributions of the curvature term have been split into the resolved and subgrid contributions. New models have been proposed for the subgrid curvature terms arising from the combined reaction and normal diffusion components and the tangential diffusion component of displacement speed. The performances of the new model and the existing models for the subgrid curvature term have been compared with the corresponding quantity extracted from the explicitly filtered DNS data. The new model for the subgrid curvature term is shown to perform satisfactorily in all cases considered in the current study, accounting for wide variations in LES filter size.http://dx.doi.org/10.1155/2012/915482
spellingShingle Mohit Katragadda
Nilanjan Chakraborty
Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations
Journal of Combustion
title Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations
title_full Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations
title_fullStr Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations
title_full_unstemmed Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations
title_short Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Large Eddy Simulations
title_sort modelling of the curvature term of the flame surface density transport equation for large eddy simulations
url http://dx.doi.org/10.1155/2012/915482
work_keys_str_mv AT mohitkatragadda modellingofthecurvaturetermoftheflamesurfacedensitytransportequationforlargeeddysimulations
AT nilanjanchakraborty modellingofthecurvaturetermoftheflamesurfacedensitytransportequationforlargeeddysimulations