Verified computations of laminar premixed flames

The required spatial discretization to capture all detailed continuum physics in the reaction zone for one-dimensional steady laminar premixed hydrogen-air names described by detailed kinetics and multi-component transport is accurately estimated a priori by a simple mean free path calculation. To verify this, a robust method has been developed to rigorously calculate the finest length scale a posteriori. The method reveals that the finest length scale is at the micron-level. This result is consistent with an estimate from the underlying molecular collision theory, and orders of magnitude smaller than the discretization scales employed in nearly all multi-dimensional and/or unsteady laminar premixed name simulations in the literature.