Compressible Flow
Compressible flow research focuses on accurately and efficiently modeling fluid dynamics where density changes significantly, crucial for applications like aerospace and weather prediction. Current efforts leverage machine learning, employing neural networks (including DeepONets, physics-informed neural networks, and generative models like diffusion models) to create fast and accurate surrogate models for computationally expensive simulations, often focusing on improving the handling of discontinuities and turbulence. These advancements promise to accelerate scientific discovery and enable real-time simulations for engineering design and optimization, particularly in scenarios involving complex geometries and high-speed flows.
Papers
A model-constrained Discontinuous Galerkin Network (DGNet) for Compressible Euler Equations with Out-of-Distribution Generalization
Hai Van Nguyen (1), Jau-Uei Chen (1), William Cole Nockolds (2), Wesley Lao (2), Tan Bui-Thanh (1 and 2) ((1) Department of Aerospace Engineering and Engineering Mechanics, the University of Texas at Austin, Texas (2) The Oden Institute for Computational Engineering and Sciences, the University of Texas at Austin, Texas)
Generative AI for fast and accurate Statistical Computation of Fluids
Roberto Molinaro, Samuel Lanthaler, Bogdan Raonić, Tobias Rohner, Victor Armegioiu, Zhong Yi Wan, Fei Sha, Siddhartha Mishra, Leonardo Zepeda-Núñez