Turbulence generation and data assimilation in wall-bounded flows with a latent diffusion model
This paper presents a generative framework combining a -variational autoencoder with a transformer-based diffusion model to achieve high-compression, real-time probabilistic reconstruction and data assimilation of wall-bounded turbulent flows, demonstrating the ability to reproduce complex statistical properties while highlighting the inherent trade-off between enforcing statistical constraints and preserving physical fidelity.