Volume 8, Issue 2
On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames

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

Commun. Comput. Phys., 8 (2010), pp. 304-326.

Published online: 2010-08

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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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@Article{CiCP-8-304, author = {}, title = {On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.090709.021109a}, url = {http://global-sci.org/intro/article_detail/cicp/7574.html} }
TY - JOUR T1 - On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames JO - Communications in Computational Physics VL - 2 SP - 304 EP - 326 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.090709.021109a UR - https://global-sci.org/intro/article_detail/cicp/7574.html KW - AB -

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.

Ashraf N. Al-Khateeb, Joseph M. Powers & Samuel Paolucci. (2020). On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames. Communications in Computational Physics. 8 (2). 304-326. doi:10.4208/cicp.090709.021109a
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