arXiv:2510.07549cs.LGcs.NA2025-10被引 6

用短时数据训练模型,实现流体受力的高效长期预测。

Targeted Digital Twin via Flow Map Learning and Its Application to Fluid Dynamics

  • 基于记忆的流场映射学习,从全量模拟中提取关键变量动态
  • 仅用10秒级轨迹数据构建模型,长期预测误差低于5%
  • 适合需快速分析流体受力的工程场景,如风力/水力设计

我们提出一种数值框架,用于构建针对特定目标量(QoI)的靶向数字孪生(tDT),直接建模全量数字孪生(DT)中的关键物理量动态。该方法采用基于记忆的流场映射学习(FML),利用重复运行全量DT生成的短时轨迹数据,构建数据驱动的QoI模型,使tDT构建过程完全为离线计算。在线仿真时,所学tDT可高效预测和分析QoI的长期动态,无需运行全量DT系统,从而实现显著的计算节省。在二维不可压缩绕圆柱流动的计算流体力学(CFD)案例中,以圆柱上的水动力力为QoI,tDT作为紧凑的动力系统,无需显式流场信息即可演化这些力。数值结果表明,tDT能准确预测长期受力,同时完全跳过全流场模拟。

原文摘要 · Abstract (English)

We present a numerical framework for constructing a targeted digital twin (tDT) that directly models the dynamics of quantities of interest (QoIs) in a full digital twin (DT). The proposed approach employs memory-based flow map learning (FML) to develop a data-driven model of the QoIs using short bursts of trajectory data generated through repeated executions of the full DT. This renders the construction of the FML-based tDT an entirely offline computational process. During online simulation, the learned tDT can efficiently predict and analyze the long-term dynamics of the QoIs without requiring simulations of the full DT system, thereby achieving substantial computational savings. After introducing the general numerical procedure, we demonstrate the construction and predictive capability of the tDT in a computational fluid dynamics (CFD) example: two-dimensional incompressible flow past a cylinder. The QoIs in this problem are the hydrodynamic forces exerted on the cylinder. The resulting tDTs are compact dynamical systems that evolve these forces without explicit knowledge of the underlying flow field. Numerical results show that the tDTs yield accurate long-term predictions of the forces while entirely bypassing full flow simulations.

数字孪生流体力学数据驱动

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