Our central result is a methodology for predicting mesh convergence forthree dimensional (3D) turbulent combustion simulations,based on less expensive one dimensional (1D) and two dimensional (2D) simulations.We verify the prediction by comparison to a 3Dfinite rate chemistry simulationbased on a reduced reaction mechanism,and we further verify it by comparison to a completely independent simulation of the same problem.We validate our simulation by comparison to experiment.Additionally, we assess grid requirements for finite rate chemistrywith more detailed chemical reaction mechanism.In both cases, the test problem is an engineering scale study ofa model scramjet combustor designed by Gamba et al.We find that the mesh requirements are not feasible for finite ratechemistry simulations of engineering scale problems with detailedreaction mechanism, as expected,but these criteria are less severe than the Kolmogorov scale.
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