arXiv:2508.04084cs.CEcs.LG2025-08被引 7

用卷积自编码器重构三维多相流界面,发现适度模糊界面效果最佳。

Convolutional autoencoders for the reconstruction of three-dimensional interfacial multiphase flows

  • 采用不同界面表示法(锐利、弥散、水平集)测试自编码器性能
  • 适度弥散界面在各类数据上均实现最高重建精度
  • 适合需要压缩多相流状态的科研人员参考

本文系统研究了卷积自编码器在三维界面型多相流降维表征中的应用。聚焦相位指示器的重建,考察了锐利、弥散和水平集等界面表示方式对重建精度的影响,涵盖不同界面复杂度。训练与验证基于可控几何复杂度的合成数据及高保真多相均匀各向同性湍流模拟。结果表明,界面表示对自编码器性能至关重要:过锐利的界面会丢失小尺度特征,过度弥散则降低整体精度。在所有数据集与评价指标下,适度弥散的界面在保留细结构与实现高精度重建间取得最佳平衡。该研究揭示了使用自编码器进行多相流降维的关键限制与最佳实践,阐明了界面表示与卷积神经网络归纳偏置的交互关系,为解耦状态压缩与隐空间时序预测/输入输出建模训练奠定了基础。

原文摘要 · Abstract (English)

We present a systematic investigation of convolutional autoencoders for the reduced-order representation of three-dimensional interfacial multiphase flows. Focusing on the reconstruction of phase indicators, we examine how the choice of interface representation, including sharp, diffuse, and level-set formulations, impacts reconstruction accuracy across a range of interface complexities. Training and validation are performed using both synthetic datasets with controlled geometric complexity and high-fidelity simulations of multiphase homogeneous isotropic turbulence. We show that the interface representation plays a critical role in autoencoder performance. Excessively sharp interfaces lead to the loss of small-scale features, while overly diffuse interfaces degrade overall accuracy. Across all datasets and metrics considered, a moderately diffuse interface provides the best balance between preserving fine-scale structures and achieving accurate reconstructions. These findings elucidate key limitations and best practices for dimensionality reduction of multiphase flows using autoencoders. By clarifying how interface representations interact with the inductive biases of convolutional neural networks, this work lays the foundation for decoupling the training of autoencoders for accurate state compression from the training of surrogate models for temporal forecasting or input-output prediction in latent space.

多相流自编码器降维界面重构

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