Global Stability Analysis for 3D hypersonic flows

This thesis is part of the FREHYA Federating Research Project, jointly run with ONERA. The objectives of this project are to improve the understanding and modeling of the transition and turbulence of cold hypersonic flows through experimental and numerical approaches. The PhD work focuses on the physical understanding of the mechanisms at the origin of the laminar/turbulent transition and unsteadiness encountered during hypersonic flight.

We propose to use recent global linear analysis tools to study flow stability around the CCF12 geometry. Computations of this type have already been carried out as part of an ONERA/CEA post-doc and have demonstrated their relevance. Here, we'll make the flow more complex by adding incidence to CCF12, which will bring to light new modes that have so far been poorly documented because they are too complex. These include crossflow modes, the effect of incidence on mixing layer modes and global bubble modes when the bubble is not axisymmetric.

The thesis work will focus primarily on the execution of stability calculations in an HPC environment, followed by their physical interpretation. It should be noted that, in the context of the FREHYA project, this thesis will be carried out in conjunction with several experimental campaigns, as well as high-fidelity computations of the flow.

High performance strategies for processing big data produced by numerical simulations

Data assimilation for hypersonic laminar turbulent transition reconstruction

To design a hypersonic vehicle, it is necessary to accurately predict the heat flows at the wall. These flows are strongly constrained by the nature of the boundary layer (laminar/transitional/turbulent). The mechanisms behind the laminar-turbulent transition are complex and still poorly understood. What's more, transitional phenomena are highly dependent on fluctuations in the free flow around the model in the case of wind tunnel testing, or around the craft in the case of flight. These fluctuations are very difficult to measure precisely, which makes the comparison between calculation and testing very complex. To carry out a detailed analysis of flow physics during testing, we need to turn to the results of high-fidelity calculations. It is therefore crucial to be able to reproduce numerically the upstream disturbances encountered. During the course of the thesis, we will be looking to develop data assimilation methods, based on high-fidelity simulation, to invert, i.e. determine fluctuations in the light of observations. The focus will be on assembly techniques based on Bayesian inference. Emphasis will be placed on integrating a priori knowledge of fluctuations. In addition, we will try to reduce the computational cost and quantify the uncertainties on the solution obtained. In particular, the approach will be applied to a flow around the CCF12 (cone-cylinder-flare) geometry realised in the R2Ch wind tunnel at ONERA.

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