arXiv:2509.22207cs.LGcs.AI2025-09被引 1

用可逆网络统一模拟流体正向与反向过程,速度超快且物理一致。

Reversible GNS for Dissipative Fluids with Consistent Bidirectional Dynamics

  • 基于可逆消息传递设计,共享参数实现正反向动态一致性
  • 参数量少四分之一,反向推演速度比传统方法快100倍以上
  • 能高效生成复杂目标形状的物理合理轨迹,适合交互式模拟

在流体动力学中,生成符合物理规律并指向用户目标的轨迹是一项基础但极具挑战的任务。尽管基于粒子的模拟器能高效再现正向动力学,但在耗散系统中,反向推理仍困难重重,因物理过程不可逆,基于优化的方法往往缓慢、不稳定且难以收敛。本文提出可逆图网络模拟器(R-GNS),一种在单一图结构中强制双向一致性的统一框架。不同于以往通过拟合反向数据来近似逆动力学的方法,R-GNS不试图逆转底层物理,而是采用数学可逆设计,基于残差可逆消息传递与共享参数,将正向动力学与逆向推断耦合,实现高精度预测和高效初始状态恢复。在三个耗散基准测试(Water-3D、WaterRamps、WaterDrop)上,R-GNS仅用四分之一参数量即达到更高精度与一致性,反向推演速度比优化基线快100倍以上。正向模拟速度媲美强基线,而在目标条件任务中,无需迭代优化,实现数量级加速。在目标条件任务中,还能成功生成如字母“L”、“N”等复杂目标形状的生动、物理一致轨迹。据我们所知,这是首个统一耗散流体系统正向与逆向模拟的可逆框架。

原文摘要 · Abstract (English)

Simulating physically plausible trajectories toward user-defined goals is a fundamental yet challenging task in fluid dynamics. While particle-based simulators can efficiently reproduce forward dynamics, inverse inference remains difficult, especially in dissipative systems where dynamics are irreversible and optimization-based solvers are slow, unstable, and often fail to converge. In this work, we introduce the Reversible Graph Network Simulator (R-GNS), a unified framework that enforces bidirectional consistency within a single graph architecture. Unlike prior neural simulators that approximate inverse dynamics by fitting backward data, R-GNS does not attempt to reverse the underlying physics. Instead, we propose a mathematically invertible design based on residual reversible message passing with shared parameters, coupling forward dynamics with inverse inference to deliver accurate predictions and efficient recovery of plausible initial states. Experiments on three dissipative benchmarks (Water-3D, WaterRamps, and WaterDrop) show that R-GNS achieves higher accuracy and consistency with only one quarter of the parameters, and performs inverse inference more than 100 times faster than optimization-based baselines. For forward simulation, R-GNS matches the speed of strong GNS baselines, while in goal-conditioned tasks it eliminates iterative optimization and achieves orders-of-magnitude speedups. On goal-conditioned tasks, R-GNS further demonstrates its ability to complex target shapes (e.g., characters "L" and "N") through vivid, physically consistent trajectories. To our knowledge, this is the first reversible framework that unifies forward and inverse simulation for dissipative fluid systems.

流体模拟可逆网络逆向推理物理仿真

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