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通过基于物理的机器学习进行拉格朗日大模拟
Yifeng Tian1, Michael Woodward2,3, Mikhail Stepanov2
1Information Sciences Group, Computer, Computational and Statistical Sciences Division (CCS-3), Los Alamos National Laboratory, Los Alamos, NM 87545.
概括
这项研究介绍了拉格朗的Large Eddy模拟 (L-LES),一种新的方法,利用拉格朗粒子和机器学习来建模流体流. L-LES准确地复制了流统计和结构,为传统的欧勒尔方法提供了替代方案.
科学领域:
- 计算流体动力学的流体动力学.
- 流建模 流建模
- 机器学习应用 机器学习应用
背景情况:
- 高雷诺德数的同质异构流 (HIT) 是由纳维埃-斯托克斯 (NS) 方程控制的,这些方程在计算上具有挑战性.
- 传统的大模拟 (LES) 依赖于欧利尔速度场和关于子网尺度效应的假设.
- 存在需要替代的流建模方法,以捕捉欧勒和拉格朗的流动特征.
研究的目的:
- 开发一种新的拉格朗日大模拟 (L-LES) 框架,用于模拟流.
- 使用机器学习 (ML) 来训练和解决基于直接数值模拟 (DNS) 数据的L-LES方程.
- 整合基于物理的参数化和神经网络,用于准确的流演变建模.
主要方法:
- 开发了基于拉格朗日粒子动力学的L-LES启发式,将光滑粒子水力学概括起来.
- 使用机器学习 (ML) 来训练使用NS-DNS的拉格朗基数数据的L-LES模型.
- 在可微分编程框架内,整合了基于物理的参数化和神经网络.
- 利用各种损失函数,包括基于物理的选项,以进行高效的模型训练.
主要成果:
- 该L-LES模型成功地复制了欧勒尔和独特的拉格朗日流动结构和统计数据.
- 该模型在一系列动荡的马赫数中表现出了能力.
- 基于物理的ML训练促进了高效和准确的流演变预测.
结论:
- 对于流模拟,L-LES提供了一个可行且准确的替代传统的欧勒尔 LES.
- 拉格朗的方法与ML的整合为计算流体动力学提供了一个强大的新工具.
- 这种基于物理学的ML方法推进了流中的子电网规模效应的建模.
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