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From Zero to Turbulence: Generative Modeling for 3D Flow Simulation

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arxiv 2306.01776 v3 pith:5ZZL23F3 submitted 2023-05-29 physics.flu-dyn cs.LG

classification physics.flu-dyncs.LG
keywords flowflowsturbulentgenerativemodelsrealisticstateturbulence
verification ladder T0 review T1 audit T2 compute T3 formal
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Simulations of turbulent flows in 3D are one of the most expensive simulations in computational fluid dynamics (CFD). Many works have been written on surrogate models to replace numerical solvers for fluid flows with faster, learned, autoregressive models. However, the intricacies of turbulence in three dimensions necessitate training these models with very small time steps, while generating realistic flow states requires either long roll-outs with many steps and significant error accumulation or starting from a known, realistic flow state - something we aimed to avoid in the first place. Instead, we propose to approach turbulent flow simulation as a generative task directly learning the manifold of all possible turbulent flow states without relying on any initial flow state. For our experiments, we introduce a challenging 3D turbulence dataset of high-resolution flows and detailed vortex structures caused by various objects and derive two novel sample evaluation metrics for turbulent flows. On this dataset, we show that our generative model captures the distribution of turbulent flows caused by unseen objects and generates high-quality, realistic samples amenable for downstream applications without access to any initial state.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A hybrid proper orthogonal decomposition and diffusion framework for reduced-order forecasting of turbulent flow dynamics

    physics.flu-dyn 2026-08 conditional novelty 6.0 of 10

    A POD-reduced diffusion forecasting framework predicts turbulent cylinder wake dynamics at roughly one-third the inference cost of full-field G-LED while preserving dominant coherent structures.

  2. Pixel-Resolved Long-Context Learning for Turbulence at Exascale: Resolving Small-scale Eddies Toward the Viscous Limit

    physics.flu-dyn 2025-07 conditional novelty 6.0 of 10

    A multiscale transformer with a new collective-based parallel attention method is claimed to be the first deep-learning model to reproduce small-scale turbulence statistics down to the viscous limit in 3D flow.

  3. Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction

    cs.LG 2025-05 conditional novelty 6.0 of 10

    A regularized autoregressive score-based diffusion model predicts turbulent flows across multiple scenarios, with the variance-preserving SDE formulation performing best.

  4. Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

    physics.flu-dyn 2025-12 conditional novelty 5.0 of 10

    DiAFNO, an implicit adaptive Fourier neural operator used as the denoiser inside an EDM diffusion model, gives more accurate autoregressive predictions of 3D turbulence than EDM or dynamic Smagorinsky LES.

  5. Reconstructing Multi-Scale Physical Fields from Extremely Sparse Measurements with an Autoencoder-Diffusion Cascade

    cs.LG 2025-12 conditional novelty 5.0 of 10

    A cascade of a functional autoencoder (coarse structure) and a residual conditional diffusion model (fine details), with mask-cascade training and manifold-constrained gradients, reconstructs sparse-sensed physical fields.

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