3 papers
cs.CV2026
Dynamic Quadtree Tokenization and Transformer for Adaptive Mesh PDE Forecasting
Yilin Zhuang, Noah Zambrano, Karthik Duraisamy
The quadratic attention cost of Vision Transformers (ViTs) forces a trade-off between spatial resolution and rollout horizon, particularly for fine-scale PDEs where shocks, reactio…
physics.flu-dyn2025
Two-point Turbulence Closures in Physical Space
Noah Zambrano, Karthik Duraisamy
This work presents a predictive two-point statistical closure framework for turbulence formulated in physical space. A closure model for ensemble-averaged, incompressible homogeneo…
physics.flu-dyn2024
Stochastic Wavevector Model for Rapidly-Distorted Compressible Turbulence
Noah Zambrano, Karthik Duraisamy
A stochastic wavevector approach is formulated to accurately represent compressible turbulence subject to rapid deformations. This approach is inspired by the incompressible partic…