Abstract
We consider the grid resolution necessary to resolve combustion in a mix- ture of calorically imperfect ideal gases described by detailed kinetics and multicom- ponent transport. Using the steady premixed laminar flame asa paradigm, the re- quired spatial discretizationto captureall detailed physics inthe reactionzone 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. Res- olution 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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