Unfolding Time: Generative Modeling for Turbulent Flows in 4D

A time-varying 3D turbulent flow simulation generated by our model. Visualization shows the magnitude of the velocity field u. The insets show that the flow evolves coherently at a similar rate as a ground-truth sample of the same region.

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Abstract

A recent study in turbulent flow simulation demonstrated the potential of generative diffusion models for fast 3D surrogate modeling. This approach eliminates the need for specifying initial states or performing lengthy simulations, significantly accelerating the process. While adept at sampling individual frames from the learned manifold of turbulent flow states, the previous model lacks the capability to generate sequences, hindering analysis of dynamic phenomena. This work addresses this limitation by introducing a 4D generative diffusion model and a physics-informed guidance technique that enables the generation of realistic sequences of flow states. Our findings indicate that the proposed method can successfully sample entire subsequences from the turbulent manifold, even though generalizing from individual frames to sequences remains a challenging task. This advancement opens doors for the application of generative modeling in analyzing the temporal evolution of turbulent flows, providing valuable insights into their complex dynamics.

Cite

@inproceedings{saydemir2024unfolding, title={Unfolding Time: Generative Modeling for Turbulent Flows in 4D}, author={Saydemir, Abdullah and Lienen, Marten and G{\"u}nnemann, Stephan}, booktitle={ICML 2024 AI for Science Workshop}, year={2024}, url={https://openreview.net/forum?id=rqFLF2wwpg} }