Follow-up proposal: Numerical investigations of compressibleturbulent boundary layers with pressure gradients and heat transfer

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In this follow-up project, a systematic understanding of the combined influences of pressure gradient and strong heat transfer in compressible turbulent boundary layers should be gained for the first time. To this end, data from Direct Numerical Simulations will be computed and analyzed for self-similar compressible turbulent boundary layers with and without pressure gradients and strong heat transfer on a high performance computer system, yielding insightful data that are not affected by a potentially inappropriate turbulence model. Thus, this proposal is a direct extension of the previous proposal, which focused on compressible turbulent boundary layers with pressure gradients and mild heat transfer. Among other things, this study will allow us to verify the validity of the main assumptions made in the derivation of the (strong) Reynolds analogy, which are known to be only partially valid for cases with strong heat transfer and not for turbulent boundary layers with pressure gradients. The result of this work thus significantly contributes to our fundamental understanding of how a compressible turbulent boundary layer is expected to principally behave in complex and thus realistic flow environments.