用生成式扩散模型模拟真实湍流入口,无需重训练即可适配多种雷诺数。
CoNFiLD-inlet: Synthetic Turbulence Inflow Using Generative Latent Diffusion Models with Neural Fields
- 结合扩散模型与神经场编码,生成随机但真实的湍流入口条件。
- 在10³到10⁴雷诺数间无需调参,保持高保真度与稳定性。
- 适合高精度湍流仿真,尤其适用于长时间、大规模数值模拟场景。
解析湍流模拟需要能准确复现复杂多尺度结构的随机入口条件。传统基于回放的方法依赖昂贵的前置模拟,而现有合成入口生成器常无法再现真实湍流相干结构。深度学习虽带来新可能,但多数方法采用易累积误差的确定性自回归框架,导致长期预测鲁棒性差。本文提出CoNFiLD-inlet,一种新型基于深度学习的入口湍流生成器,将扩散模型与条件神经场(CNF)编码的隐空间相结合,生成逼真且随机的入口湍流。通过雷诺数参数化,该方法在$Re_τ$从$10^3$到$10^4$范围内有效泛化,无需重新训练或调参。通过直接数值模拟(DNS)和壁模大涡模拟(WMLES)的先验与后验验证,结果表明其具有高保真度、强鲁棒性与良好可扩展性,为入口湍流生成提供高效且通用的解决方案。
原文摘要 · Abstract (English)
Eddy-resolving turbulence simulations require stochastic inflow conditions that accurately replicate the complex, multi-scale structures of turbulence. Traditional recycling-based methods rely on computationally expensive precursor simulations, while existing synthetic inflow generators often fail to reproduce realistic coherent structures of turbulence. Recent advances in deep learning (DL) have opened new possibilities for inflow turbulence generation, yet many DL-based methods rely on deterministic, autoregressive frameworks prone to error accumulation, resulting in poor robustness for long-term predictions. In this work, we present CoNFiLD-inlet, a novel DL-based inflow turbulence generator that integrates diffusion models with a conditional neural field (CNF)-encoded latent space to produce realistic, stochastic inflow turbulence. By parameterizing inflow conditions using Reynolds numbers, CoNFiLD-inlet generalizes effectively across a wide range of Reynolds numbers ($Re_τ$ between $10^3$ and $10^4$) without requiring retraining or parameter tuning. Comprehensive validation through a priori and a posteriori tests in Direct Numerical Simulation (DNS) and Wall-Modeled Large Eddy Simulation (WMLES) demonstrates its high fidelity, robustness, and scalability, positioning it as an efficient and versatile solution for inflow turbulence synthesis.
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