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July 29, 2026Open Access

Emergence Inevitability and Algebraic Computational Methods of Turbulence Based on Discrete Microscopic Causal Statistics and Multidimensional Manifold Reconstruction

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Authors

YLYue Lu

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Overview

Randomized trial uncovers turbulence modeling in fluid dynamics, suggesting new computational frameworks.

Key Points

  • This research aims to create a new discrete dynamical method for analyzing turbulence in fluid dynamics, avoiding classical singularities.
  • Developed a discrete dynamical framework using Status-Relational Entropy (SRE) dynamics.
  • Utilized a combination of three operators for local graph expansion, pruning, and allocation in fluid media.
  • Established a Chapman-Enskog expansion to link discrete methods to traditional Navier-Stokes equations.
  • Simulations showed macroscopic coherence locked within a robust Lyapunov attractor envelope [0.75, 1.00], exceeding the disordered baseline.
  • Visual reconstructions indicated highly connected paths condensing into a toroidal loop, representing vortex dynamics.
  • Proven mathematical foundations are provided for understanding complex fluid behaviors through discrete networks.

Cite This Study

Yue Lu (2026) studied this question.

synapsesocial.com/papers/6a69a295c8da07d9defa6349https://doi.org/10.5281/zenodo.21618867
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