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- W2034433172 abstract "A numerical, grid-free algorithm is presented for the one-dimensional reaction-diffusion model of laminar flame propagation in premixed gases. It is based on the random element method developed by the authors for the analysis of diffusional processes. The effect of combustion is taken into account by applying the principle of fractional steps to separate the process of diffusion, modeled by the random walk of computational elements, from the exothermic effects of chemical reaction monitoring their strength. The validity of the algorithm is demonstrated by application to flame propagation problems for which exact solutions exist. The flame speed evaluated by its use oscillates around the exact value at a relatively small amplitude, while the temperature and species concentration profiles are self-correcting in their convergence to the exact solution. A satisfactory resolution is obtained by the use of a small number of computational elements which automatically adjust their distribution to fit sharp gradients." @default.
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- W2034433172 date "1984-10-01" @default.
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- W2034433172 title "Numerical solution for the problem of flame propagation by the random element method" @default.
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- W2034433172 doi "https://doi.org/10.2514/3.8799" @default.
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