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Javier Jiménez: Fake Turbulence

Tid: To 2024-05-30 kl 10.30 - 11.30

Plats: Digital Futures Hub, Osquars Backe 5, floor 2

Medverkande: Javier Jiménez (Universidad Politecnica de Madrid)

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Abstract

Turbulence is a high-dimensional dynamical system with known equations of motion. It can be numerically integrated, but the simulation results are also high-dimensional and hard to interpret. Lower-dimensional models are not dynamical systems, because some dynamics is discarded in the projection, and a stochastic Perron-Frobenius operator substitutes the equations of motion. Using as example turbulent flows at moderate but non-trivial Reynolds number, we show that particularly deterministic projections can be identified by either Monte-Carlo or exhaustive testing, and can be interpreted as coherent structures. We also show that they can be used to construct data-driven ‘fake’ models that retain many of the statistical characteristics of the real flow.