提出物理保真压缩方法,实现3D湍流低分辨率到高分辨率零样本迁移。
Physics-Preserving Latent Compression for Zero-Shot Resolution Transfer in 3D Turbulence

- 基于局部块和变分自编码器,共享参数实现跨分辨率压缩。
- 在1024³高分辨率场中零样本迁移,保持能量谱等物理诊断精度。
- 适合科学计算中数据稀缺场景下的高效模型替代与仿真加速。
高分辨率湍流建模对科学计算至关重要,但受限于直接数值模拟成本及全分辨率数据稀缺。现有科学压缩方法多作用于逐帧表示,而学习型压缩生成的潜在表示常依赖分辨率且与湍流物理关联弱。因此亟需一种既能减小数据量、又可保持物理诊断特征,并能在不重新训练的情况下从低分辨率训练场迁移到高分辨率测试场的压缩框架。本文提出物理保真潜压缩(PPLC),一种针对三维湍流的局部块潜压缩器。受惯性区尺度相似性启发,PPLC将固定大小的局部块视为可迁移单元,采用与全局网格尺寸无关的共享变分自编码器。其结合精确均值保留、零均值波动编码、可逆哈尔小波前处理、平移一致性正则化及重叠感知重建。在强制各向同性湍流上实例化,仅用256³下采样场训练,即可零样本迁移至1024³场。实验表明,相比经典与学习基线,PPLC在重建精度与物理保真度间取得更好平衡,使耗散、涡量、能量谱及不可压缩性等诊断量更贴近真实值。该方法不仅适用于湍流压缩,也为数据高效科学代理建模提供通用物理保真潜表示策略。
原文摘要 · Abstract (English)
High-resolution turbulence modeling is essential for scientific computing, but remains constrained by the cost of direct numerical simulation and the scarcity of full-resolution data. Existing scientific compressors reduce storage but typically operate on per-frame representations, whereas learned compressors yield compact latents that are often resolution-dependent and weakly aligned with the physics of turbulence. This raises the need for a compression framework that reduces data size, preserves physical diagnostics, and transfers from low-resolution training fields to high-resolution test fields without retraining. In this paper, we propose Physics-Preserving Latent Compression (PPLC), a patch-local latent compressor for three-dimensional turbulence. Motivated by inertial-range scale similarity, PPLC treats fixed-size patches as transferable units and applies a shared variational autoencoder independently of the global grid size. It combines exact mean preservation, zero-mean fluctuation encoding, an invertible Haar wavelet front-end, shift-consistency regularization, and overlap-aware reconstruction. Instantiated on forced isotropic turbulence, PPLC is trained only on stride-downsampled 256^3 fields and transfers zero-shot to 1024^3 fields. Experiments show that PPLC improves the balance between reconstruction accuracy and physical fidelity over classical and learned baselines, keeping diagnostics such as dissipation, enstrophy, energy spectra, and incompressibility closer to the ground truth. Beyond turbulence compression, PPLC offers a general strategy for physics-preserving latent representations that support data-efficient scientific surrogate modeling.
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