@Article{CiCP-8-304,
author = {Ashraf N. Al-Khateeb, Joseph M. Powers and Samuel Paolucci},
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 = {<p style="text-align: justify;">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<sup>−4&nbsp;</sup>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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.090709.021109a},
url = {http://global-sci.org/intro/article_detail/cicp/7574.html}
}