A dynamic formulation for a previously developed coupled fractal–similarity model for large eddy simulation of premixed combustion is proposed. In this formulation, the fractal dimension is obtained dynamically from the resolved scales, leaving the inner cutoff scale, representative for the smallest flame structures, as the only parameter to be prescribed. The fractal model provides an accurate estimate for the mean flame surface, whereas the similarity model predicts its spatial distribution.
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Knikker et al. (2004) studied this question.
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