arXiv:2412.19927physics.flu-dyncs.AI2024-12

用物理约束提升湍流仿真分辨率,测试时精修更准更稳

Modeling Continuous Spatial-temporal Dynamics of Turbulent Flow with Test-time Refinement

  • 测试时用降质模型精修,融合物理规律减少误差积累
  • 在两个数据集上实现高分辨率DNS重建,保持流动本质特性
  • 适合需要高精度湍流模拟的气候、能源等领域研究者

精确模拟湍流在气候科学、淡水科学和节能制造等多个领域具有重要意义。大涡模拟(LES)作为直接数值模拟(DNS)的高效替代方案,因空间分辨率较低,难以捕捉全部湍流输运尺度。从低分辨率的LES数据重建高保真度的DNS数据对诸多应用至关重要,但现有超分辨率技术面临湍流复杂时空特性的挑战。本文提出一种新方法,利用物理知识建模流体动态。不同于传统超分辨率技术,该方法仅在测试阶段使用LES数据,通过基于退化的精修策略施加物理约束,有效缓解时间累积的重建误差。同时设计特征采样策略,实现不同分辨率下的流场重建。在两组独立湍流数据上的实验表明,该方法能有效重构高分辨率DNS数据,保留流动输运的本质物理特性,并实现多分辨率下的重建。

原文摘要 · Abstract (English)

The precise simulation of turbulent flows holds immense significance across various scientific and engineering domains, including climate science, freshwater science, and energy-efficient manufacturing. Within the realm of simulating turbulent flows, large eddy simulation (LES) has emerged as a prevalent alternative to direct numerical simulation (DNS), offering computational efficiency. However, LES cannot accurately capture the full spectrum of turbulent transport scales and is present only at a lower spatial resolution. Reconstructing high-fidelity DNS data from the lower-resolution LES data is essential for numerous applications, but it poses significant challenges to existing super-resolution techniques, primarily due to the complex spatio-temporal nature of turbulent flows. This paper proposes a novel flow reconstruction approach that leverages physical knowledge to model flow dynamics. Different from traditional super-resolution techniques, the proposed approach uses LES data only in the testing phase through a degradation-based refinement approach to enforce physical constraints and mitigate cumulative reconstruction errors over time. Furthermore, a feature sampling strategy is developed to enable flow data reconstruction across different resolutions. The results on two distinct sets of turbulent flow data indicate the effectiveness of the proposed method in reconstructing high-resolution DNS data, preserving the inherent physical attributes of flow transport, and achieving DNS reconstruction at different resolutions.

湍流模拟超分辨率物理约束流体动力学

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。