arXiv:2603.00792cs.LGcs.AI2026-03被引 1

用隐式网格建模流固耦合,实现复杂动态交互的精准模拟

Neural Latent Arbitrary Lagrangian-Eulerian Grids for Fluid-Solid Interaction

  • 基于ALE思想设计多尺度隐式网格,统一表达流体与固体区域
  • 通过分步耦合模块逐步建模非线性相互作用,提升动态响应精度
  • 适用于真实场景下的2D/3D复杂流固交互,适合仿真与工程优化研究

流固相互作用(FSI)在众多科学与工程应用中至关重要,但高效捕捉高度非线性的双向交互仍是重大挑战。现有深度学习方法多局限于简化的一向FSI场景,常假设固体刚性且静止以降低复杂度。即使在双向设定下,主流方法也因缺乏跨域感知能力,难以刻画动态异质交互。本文提出Fisale——一种数据驱动的复杂双向FSI框架,受经典数值方法(任意拉格朗日-欧拉法,ALE)及分区耦合算法启发。Fisale显式建模耦合界面为独立组件,并利用多尺度隐式ALE网格,在各域间提供统一、几何感知的嵌入表示。分区耦合模块(PCM)将问题分解为结构化子步骤,实现非线性依赖关系的渐进建模。相比现有模型,Fisale构建了更灵活的框架,在统一表示上迭代处理固体、流体及其耦合界面的复杂动力学,支持复杂双向FSI行为的可扩展学习。实验表明,Fisale在三个贴近现实的挑战性FSI场景(涵盖2D、3D及多种任务)中表现优异。代码已开源。

原文摘要 · Abstract (English)

Fluid-solid interaction (FSI) problems are fundamental in many scientific and engineering applications, yet effectively capturing the highly nonlinear two-way interactions remains a significant challenge. Most existing deep learning methods are limited to simplified one-way FSI scenarios, often assuming rigid and static solid to reduce complexity. Even in two-way setups, prevailing approaches struggle to capture dynamic, heterogeneous interactions due to the lack of cross-domain awareness. In this paper, we introduce \textbf{Fisale}, a data-driven framework for handling complex two-way \textbf{FSI} problems. It is inspired by classical numerical methods, namely the Arbitrary Lagrangian-Eulerian (\textbf{ALE}) method and the partitioned coupling algorithm. Fisale explicitly models the coupling interface as a distinct component and leverages multiscale latent ALE grids to provide unified, geometry-aware embeddings across domains. A partitioned coupling module (PCM) further decomposes the problem into structured substeps, enabling progressive modeling of nonlinear interdependencies. Compared to existing models, Fisale introduces a more flexible framework that iteratively handles complex dynamics of solid, fluid and their coupling interface on a unified representation, and enables scalable learning of complex two-way FSI behaviors. Experimentally, Fisale excels in three reality-related challenging FSI scenarios, covering 2D, 3D and various tasks. The code is available at \href{https://github.com/therontau0054/Fisale}.

流固耦合隐式网格深度学习仿真建模

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