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Learning Turbulent Flows with Generative Models: Super-resolution, Forecasting, and Sparse Flow Reconstruction

Created by
  • Haebom

Author

Vivek Oommen, Siavash Khodakarami, Aniruddha Bora, Zhicheng Wang, George Em Karniadakis

Outline

This paper highlights that neural agents trained with the standard L2 loss function tend to oversmooth fine-scale turbulent structures and proposes a method to overcome this limitation by combining generative models with neural agent training. We demonstrate failures of conventional neural agents on three practical turbulent flow problems: spatiotemporal super-resolution, prediction, and sparse flow reconstruction, and address these challenges using an adversarially trained neural agent (adv-NO). In Schlieren jet super-resolution, adv-NO reduces energy spectral errors by a factor of 15 while maintaining sharp gradients at the cost of neural agent-level inference. In 3D homogeneous isotropic turbulence, adv-NO, trained with only 160 time steps of a single trajectory, accurately predicts over a fivefold increase in vortex rotation time and achieves a wall-clock speedup of 114x over baseline diffusion-based predictors, enabling near-real-time evolution. Finally, when reconstructing the cylinder wake flow from highly sparse particle-tracking velocimetry-like inputs, the conditional generative model infers complete 3D velocity and pressure fields with correct phase alignment and statistics. This advancement enables accurate reconstruction and prediction at low computational cost, enabling near-real-time analysis and control in experimental and computational fluid dynamics.

Takeaways, Limitations

Takeaways:
We demonstrate that combining generative models and neural agents can overcome the limitations of conventional neural agents in turbulent flow problems.
It presents applicability to various turbulent flow problems, including spatiotemporal super-resolution, prediction, and sparse flow reconstruction.
It can have a significant impact on the fields of experimental and computational fluid dynamics by enabling near-real-time analysis and control.
Using adv-NO, we can significantly reduce energy spectral errors and reduce computational costs.
Limitations:
Further research is needed to evaluate the generalization performance of the method presented in this paper.
Further verification of its applicability to various types of turbulent flows is required.
Further research is needed to determine its applicability and effectiveness for high-dimensional turbulent flow problems.
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