mlsanityData to 7 Oct 2026

Deep Learning of Turbulent Scalar Mixing

arXiv 1811.07095 ↗First posted 17 Nov 2018physics.flu-dyn cs.CE physics.comp-phcited by 17

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Abstract (arXiv)

Based on recent developments in physics-informed deep learning and deep hidden physics models, we put forth a framework for discovering turbulence models from scattered and potentially noisy spatio-temporal measurements of the probability density function (PDF). The models are for the conditional expected diffusion and the conditional expected dissipation of a Fickian scalar described by its transported single-point PDF equation. The discovered model are appraised against exact solution derived by the amplitude mapping closure (AMC)/ Johnsohn-Edgeworth translation (JET) model of binary scalar mixing in homogeneous turbulence.

Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 17 Nov 2018.

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Citing papers per year: 2021: 7; 2022: 3; 2023: 1; 2024: 3; 2025: 2; 2026: 1.

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  11. 2022A Review of Machine Learning Methods Applied to Structural Dynamics and Vibroacousticcited by 7
  12. 2024ANaGRAM: A Natural Gradient Relative to Adapted Model for efficient PINNs learningcited by 7
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  3. 2025Multiphysics Bench: Benchmarking and Investigating Scientific Machine Learning for Multiphysics PDEscited by 3
  4. 2021Physics-informed neural networks for improving cerebral hemodynamics predictionscited by 1
  5. 2026Graph-Instructed Neural Networks for parametric problems with varying boundary conditionscited by 0