Line Plot from Scientific Research

Standardized PDFs of one generic component of the velocity increment, V i , at / = 1, 2, 5, 100 for ground-truth DNS data (black lines), synthetically generated data from DM-1c (blue lines with circles) and that from DM-1c-10% (green lines with squares), a DM-1c model trained with 10% DNS data. PDFs for different are vertically shifted for the sake of presentation. is the standard deviation. Notice in panel a the remarkable generalizability properties of our DM data-driven model, able to explore and capture extreme events for velocity fluctuations with far larger intensities than observed in the DNS dataset, represented by much more extended tails, while still maintaining the ground-truth statistics inherent in the training data. Here, the statistics for DM-1c and DM-1c-10% data are derived from 86 and 22 times the number of trajectories in the DNS, respectively.

DOI