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On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames

On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames

Year:    2010

Author:    Ashraf N. Al-Khateeb, Joseph M. Powers, Samuel Paolucci

Communications in Computational Physics, Vol. 8 (2010), Iss. 2 : pp. 304–326

Abstract

We consider the grid resolution necessary to resolve combustion in a mixture of calorically imperfect ideal gases described by detailed kinetics and multicomponent transport. Using the steady premixed laminar flame as a paradigm, the required spatial discretization to capture all detailed physics in the reaction zone is found via 1) determination of the finest grid used in a standard software tool which employs adaptive mesh refinement, 2) examination of peak values of intermediate species mass fractions in the flame zone as a function of grid size, 3) a formal grid resolution study, and 4) a robust new eigenvalue analysis developed to estimate the finest length scale. Application to laminar premixed flames in hydrogen-air flames reveals that the finest length scale is on the order of 10−4 cm for combustion at atmospheric pressure. Resolution at this scale is shown to be necessary to capture detailed species mass fraction profiles; other features such as steady flame speeds and equilibrium thermochemical properties do not have such a stringent length scale requirement.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.090709.021109a

Communications in Computational Physics, Vol. 8 (2010), Iss. 2 : pp. 304–326

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:   

Author Details

Ashraf N. Al-Khateeb

Joseph M. Powers

Samuel Paolucci

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