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This project aims to study some cases related to boundary layer transition, a well known phenomenon in Fluid Mechanics but still hard to predict on real cases.

The core of the repository is the implementation of methods that can help predict the boundary layer point of transition on 2D geometries, such as aerodynamic airfoils. It is relevant to point out that these methods work well under certain geometries or conditions, so bear in mind about its limitations and range of application.

Dynamic mode decomposition (DMD)

The dynamic mode decomposition (DMD) considers the flow to be made up of an overlapping of dynamic modes, each one associated to a specific mechanism or fluid structure that develops within the flow. Each of these can be analyzed and understood in an isolated and simple way if a flow mode decomposition is carried out. As far as boundary layer transition is concerned, the linear stability theory (LST) accomplishes transition prediction by evaluating the spatial growthrate of the TS waves, along with the eN criteria. The DMD method aims for the same objective, but it is based on a completely different physico-mathematical model in comparison with the LST, in terms of the spatial growthrate measurement of the disturbances associated to the TS waves. Once it is applied, it is possible to analyse not only flow transition but also all the flow mechanisms in isolation so that its behaviour and its development is properly understood.

Thus, in this repository one of the multiple versions of DMD is implemented. The way the analysis is performed is as follows: 1.