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October 16, 2025Open Access

Topological Entropy of Stationary Turbulent Flows

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Developing an exact Eulerian framework for topological entropy in turbulence, highlighting practical implications.

Topological entropy quantifies mixing in stationary turbulent flows, offering significant insights into chaotic systems.
An exact Eulerian framework utilizes eigenvalues of the local strain-rate tensor to assess complexity in turbulence.
The method eliminates Lagrangian particle tracking, relying instead on data from a wire probe at a fixed location.
These findings may enhance experimental understanding of transport and mixing in both industrial and natural flows.

Biswas et al. (2025) studied this question.

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