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Generative Modeling of Dynamic Systems

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.

Turbulence Generation and Data Assimilation with Reduced-Dimensionality Models

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.

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Physics-Guided Generative Modeling for Wind Turbine Wake Prediction

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.

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Uncertainty Quantification in Urban Planning

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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.

Funding Information and Acknowledgement

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Funded by Carl-Zeiss-Stiftung (CZS, Carl Zeiss Foundation), project number P2021_0401. Funding and support is highly acknowledged.

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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).

Contact

Stuttgart Center for Simulation Science

(SC SimTech)

University of Stuttgart

Universitätsstraße 32

70569 Stuttgart, Germany

heng.xiao AT simtech.uni-stuttgart.de

©2022 by Heng Xiao.

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