AMR-Transformer: Enabling Efficient Long-range Interaction for Complex Neural Fluid Simulation
Zeyi Xu, Jinfan Liu, Kuangxu Chen, Ye Chen, Zhangli Hu, Bingbing Ni
Abstract
Figure 1. AMR tokenizer results in high-resolution simulation. Visualization of the AMR tokenizer applied to 1024 × 1024 shock wave and explosion simulations. The AMR tokenizer captures fine-scale structures while reducing token count. Right panels compare the regular 512 × 512 grid with the AMR partitioning, each right panel displays the total cell count and partitioning scheme (bottom-right), along with the mean squared error (MSE) relative to the 1024 × 1024 ground truth (top-left).
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Your agent calls
Luneget_paper_fulltext
Free to start. No credit card required.
Terminal
Install the CLIlune papers fulltext c52ec868-41b8-4ac9-8b41-3645f9b73f50Cited by top-tier papers1
Ask how each one uses itBuilds on9
- An Image is Worth 16x16 Words: Transformers for Image Recognition at ScaleAlexey Dosovitskiy, Lucas Beyer, Alexander Kolesnikov, Dirk Weissenborn et al.ICLR 2021 · 21,477 citations
- Fourier Neural Operator for Parametric Partial Differential EquationsZongyi Li, Nikola Borislavov Kovachki, Kamyar Azizzadenesheli, Burigede Liu et al.ICLR 2021 · 3,911 citations
- Learning Mesh-Based Simulation with Graph NetworksTobias Pfaff, Meire Fortunato, Alvaro Sanchez-Gonzalez, Peter W. BattagliaICLR 2021 · 1,175 citations
- Transolver: A Fast Transformer Solver for PDEs on General GeometriesHaixu Wu, Huakun Luo, Haowen Wang, Jianmin Wang et al.ICML 2024 · 228 citations
- Scalable Transformer for PDE Surrogate ModelingZijie Li, Dule Shu, Amir Barati FarimaniNeurIPS 2023 · 188 citations
Related papers
- RAPTOR: Practical Numerical Profiling of Scientific ApplicationsFaveo Hoerold, Ivan R. Ivanov, Akash Dhruv, William S. Moses et al.SC 2025 · 4 citations
- TAC: Optimizing Error-Bounded Lossy Compression for Three-Dimensional Adaptive Mesh Refinement SimulationsDaoce Wang, Jesus Pulido, Pascal Grosset, Sian Jin et al.HPDC 2022 · 13 citations
- A High-Quality Workflow for Multi-Resolution Scientific Data Reduction and VisualizationDaoce Wang, Pascal Grosset, Jesus Pulido, Tushar M. Athawale et al.SC 2024 · 8 citations
- Spectral Image TokenizerCarlos Esteves, Mohammed Suhail, Ameesh MakadiaICCV 2025 · 1 citation
- Ray Tracing Structured AMR Data Using ExaBricksIngo Wald, Stefan Zellmann, Will Usher, Nate Morrical et al.IEEE VIS 2020 · 18 citations
