Lattice Boltzmann Fluid Solver with Symmetric, Conservative and Equilibrium-Preserving Neural Collision Operator
2025
发表期刊IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (IF:10.2[JCR-2023],10.4[5-Year])
ISSN2162-237X
EISSN2162-2388
发表状态待投递
摘要

Neural fluid solvers have been garnering significant interest for their potential to accelerate fluid simulations and create surrogate models from data. However, general neural PDE solvers often face challenges in strictly enforcing physical properties such as symmetry, conservation and equilibrium preservation, which can lead to insufficient generalizability. In our work, we introduce a neural lattice Boltzmann solver with a carefully designed neural collision operator that unconditionally satisfies these essential properties. Our method demonstrates better generalizability and outperforms previous approaches, achieving twice the duration of high vorticity correlation on a down-sampled decaying turbulence dataset.

关键词lattice Boltzmann method neural fluid solver structure-preserving learning constrained neural network
收录类别SCIE
文献类型期刊论文
条目标识符https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/430465
专题信息科学与技术学院_硕士生
信息科学与技术学院_PI研究组_刘晓培组
信息科学与技术学院_PI研究组_汪阳组
通讯作者Liu, Xiaopei
作者单位
School of Information Science and Technology, ShanghaiTech University
第一作者单位信息科学与技术学院
通讯作者单位信息科学与技术学院
第一作者的第一单位信息科学与技术学院
推荐引用方式
GB/T 7714
Fu, Xinyi,Bai, Kai,Wang, Yang,et al. Lattice Boltzmann Fluid Solver with Symmetric, Conservative and Equilibrium-Preserving Neural Collision Operator[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2025.
APA Fu, Xinyi,Bai, Kai,Wang, Yang,&Liu, Xiaopei.(2025).Lattice Boltzmann Fluid Solver with Symmetric, Conservative and Equilibrium-Preserving Neural Collision Operator.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS.
MLA Fu, Xinyi,et al."Lattice Boltzmann Fluid Solver with Symmetric, Conservative and Equilibrium-Preserving Neural Collision Operator".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (2025).
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