• Corpus ID: 233481835

Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)

  title={Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)},
  author={Daniel Gurevich and Patrick A. K. Reinbold and Roman O. Grigoriev},
We show how a complete mathematical description of a complicated physical phenomenon can be learned from observational data via a hybrid approach combining three simple and general ingredients: physical assumptions of smoothness, locality, and symmetry, a weak formulation of differential equations, and sparse regression. To illustrate this, we extract a system of governing equations describing flows of incompressible Newtonian fluids – the Navier-Stokes equation, the continuity equation, and the… 

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