LGNAMar 25, 2021

Structured Deep Kernel Networks for Data-Driven Closure Terms of Turbulent Flows

arXiv:2103.13655v1
AI Analysis

This work addresses the problem of data-driven turbulence modeling for fluid dynamics researchers, representing an incremental improvement by combining SDKNs with standard ML modules.

The authors tackled the challenge of predicting closure terms for turbulent flows using machine learning, extending Structured Deep Kernel Networks (SDKNs) to handle large datasets and achieving near-perfect accuracy in experiments.

Standard kernel methods for machine learning usually struggle when dealing with large datasets. We review a recently introduced Structured Deep Kernel Network (SDKN) approach that is capable of dealing with high-dimensional and huge datasets - and enjoys typical standard machine learning approximation properties. We extend the SDKN to combine it with standard machine learning modules and compare it with Neural Networks on the scientific challenge of data-driven prediction of closure terms of turbulent flows. We show experimentally that the SDKNs are capable of dealing with large datasets and achieve near-perfect accuracy on the given application.

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