Verification of Markov hypothesis for conserved scalar process: validation of conditional moment closure for turbulent combustion

Andrew P. Wandel, Nigel S. A. Smith, A. Y. Klimenko

Abstract


The Conditional Moment Closure (cmc) is a model for turbulent combustion that describes the physics of the process across the flow for a wide range of situations. The theoretical basis used in closing the model is that conserved scalars develop in turbulent fields similarly to Markov processes. We describe the formulation of cmc in both its deterministic and stochastic forms and show some preliminary results justifying the assumption of similarity with the Markov hypothesis.

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DOI: https://doi.org/10.21914/anziamj.v44i0.708



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.