用条件神经场压缩湍流数据,比传统方法更准且泛化更强。
Conditional neural field for spatial dimension reduction of turbulence data: a comparison study
- 用坐标编码的条件神经场,通过调制潜变量降低湍流数据维度。
- CNF-FP在训练和范围内测试误差最低,CNF-FiLM在范围外泛化最好。
- 分域设计提升复杂场景外推能力,适合高精度湍流模拟研究者。
本文研究条件神经场(CNFs)在湍流数据空间降维中的应用,采用无网格、基于坐标的解码器,以低维潜变量为条件。在统一编码-解码框架和相同评估协议下,对比了本征正交分解(POD)与卷积自编码器,明确区分范围内(插值)与范围外(严格外推)测试,所有基线使用相同预处理、指标和固定数据划分。考察三种调制机制:(i)仅激活调制(常称FiLM),(ii)低秩权重与偏置调制(称FP),(iii)最后一层内积耦合。引入新型分域CNF以局部化复杂性。在典型湍流数据集(WMLES通道入口、DNS通道入口、湍流边界层壁面压力波动)上,CNF-FP实现最低训练误差与范围内测试误差,而当潜变量容量适中时,CNF-FiLM在外推场景表现最佳。分域设计显著提升范围外精度,尤其对更具挑战性的数据集。研究为湍流压缩与重建中条件机制、容量与分域设计的选择提供了严谨、物理可解释的依据。
原文摘要 · Abstract (English)
We investigate conditional neural fields (CNFs), mesh-agnostic, coordinate-based decoders conditioned on a low-dimensional latent, for spatial dimensionality reduction of turbulent flows. CNFs are benchmarked against Proper Orthogonal Decomposition and a convolutional autoencoder within a unified encoding-decoding framework and a common evaluation protocol that explicitly separates in-range (interpolative) from out-of-range (strict extrapolative) testing beyond the training horizon, with identical preprocessing, metrics, and fixed splits across all baselines. We examine three conditioning mechanisms: (i) activation-only modulation (often termed FiLM), (ii) low-rank weight and bias modulation (termed FP), and (iii) last-layer inner-product coupling, and introduce a novel domain-decomposed CNF that localizes complexities. Across representative turbulence datasets (WMLES channel inflow, DNS channel inflow, and wall pressure fluctuations over turbulent boundary layers), CNF-FP achieves the lowest training and in-range testing errors, while CNF-FiLM generalizes best for out-of-range scenarios once moderate latent capacity is available. Domain decomposition significantly improves out-of-range accuracy, especially for the more demanding datasets. The study provides a rigorous, physics-aware basis for selecting conditioning, capacity, and domain decomposition when using CNFs for turbulence compression and reconstruction.
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