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Analytical Validation of Flamelet-Based Models for Non-Premixed Turbulent Combustion

机译：基于Flamelet的非预混湍流燃烧模型的分析验证

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The aim of the project was to validate various implementations of the flamelet approach to turbulent combustion modeling, in particular in the context of large eddy simulations of turbulent flames. A hybrid mathematical-numerical- asymptotic approach has been used by Bourlioux and her students, in collaboration with Majda, to systematically exploit Majda and co-workers theoretical results in an applied computational framework. The idealized models utilized in the project were amenable to rigorous asymptotic predictions regarding the effective behavior of turbulent flames at large scales in terms of their effective burning rate. New numerical tools were designed to carry on the asymptotic procedures for relevant test-cases. A strong emphasis was placed on providing the physical intuition behind the various turbulent regimes identified by the theory. The asymptotic predictions were compared with ad-hoc modeling procedures to identify their pros and cons. Additionally, direct numerical simulations were carried on for the idealized test-cases to provide practitioners with some intuition regarding the relationship between the theoretical asymptotic limit results and finite parameters realizations.

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