Generative Turbulence Prediction

Adapt generative AI models to efficiently predict turbulent flows and incorporate constraints in large-scale applications.

The fast, time-resolved prediction of turbulent flows, particularly in complex natural environments such as urban canopies or wind farms, remains a major challenge. Traditional high-fidelity approaches, including DNS and LES, are often prohibitively expensive and rely on uncertain model inputs. Recent advances in generative AI provide a promising new avenue for capturing flow dynamics efficiently while quantifying predictive uncertainties. We investigate how state-of-the-art generative models can be adapted for scientific modeling to enable reliable and scalable turbulence prediction, as explored in the projects below.

Projekte

We propose replacing conventional sequential data assimilation pipelines—typically consisting of numerical solvers followed by a correction stage—with a scalable, data-driven alternative. Our framework integrates dimensionality-reduction techniques with a transformer-based diffusion model operating in a compact latent space, enabling efficient prediction and data assimilation of four-dimensional turbulent flow fields.

Current simulation methods of wind farms wakes lack physical realism and are limited in the integration of multi-source data. Here, we explore and develop a generative modeling framework for wind turbine wake prediction that is able to integrate physical constraints and multi-source measurements e.g., UAV and LiDAR.

Urban planning requires reliable assessments of how land-use changes affect local climate, yet high-resolution simulations are too costly for large ensembles and comprehensive uncertainty quantification. We propose a conditional diffusion model with a given land-use configuration as the conditioning input.

Selected Publications

  • Steinbrenner, F., Turan, B., Teng, H., and Xiao, H. Turbulence generation and data assimilation in wall-bounded flows with a latent diffusion model. Submitted to Journal of Fluid Mechanics. Also available at https://arxiv.org/abs/2603.02143
  • Wu, J.-L., Kashinath, K., Alberta, A., Chirila, D., Prabhat, M., and Xiao, H. Enforcing statistical constraints in generative adversarial networks for modeling chaotic dynamical systems. Journal of Computational Physics, 406, 109209, 2020. DOI: https://doi.org/10.1016/j.jcp.2019.109209

Funding and Acknowledgement

These Projects are funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC 2075 - 390740016. We acknowledge the support by the Stuttgart Center for Simulation Science (SC SimTech) and Carl-Zeiss-Stiftung (CZS, Carl Zeiss Foundation), project number P2021_0401. Funding and support is highly acknowledged.

Contacts

This image showsFabian Steinbrenner

Fabian Steinbrenner

M.Sc.

Research Associate

This image showsBaris Turan

Baris Turan

M.Sc.

Research Associate

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