Deconvolutional artificial neural network models for large eddy simulation of turbulence

TL;DR

This paper introduces deconvolutional neural network models for large eddy simulation of turbulence, demonstrating superior accuracy in predicting subgrid-scale stresses and velocity statistics compared to traditional models, with efficient computational performance.

Contribution

The study develops and validates a novel DANN framework for SGS modeling in LES, outperforming existing methods in accuracy and efficiency without requiring fine-tuning.

Findings

DANN models achieve correlation coefficients >99% in SGS stress prediction.

DANN models outperform ILES, DSM, and DMM in velocity spectrum and structure prediction.

Trained DANN models generalize well across different filter widths.

Abstract

Deconvolutional artificial neural network (DANN) models are developed for subgrid-scale (SGS) stress in large eddy simulation (LES) of turbulence. The filtered velocities at different spatial points are used as input features of the DANN models to reconstruct the unfiltered velocity. The grid width of the DANN models is chosen to be smaller than the filter width, in order to accurately model the effects of SGS dynamics. The DANN models can predict the SGS stress more accurately than the conventional approximate deconvolution method (ADM) and velocity gradient model (VGM) in a prior study: the correlation coefficients can be made larger than 99\% and the relative errors can be made less than 15\% for the DANN model. In an a posteriori study, a comprehensive comparison of the DANN model, the implicit large eddy simulation (ILES), the dynamic Smagorinsky model (DSM), and the dynamic mixed model (DMM) shows that: the DANN model is superior to the ILES, DSM, and DMM models in the prediction of the velocity spectrum, various statistics of velocity and the instantaneous coherent structures without increasing the considerable computational cost. Besides, the trained DANN models without any fine-tuning can predict the velocity statistics well for different filter widths. These results indicate that the DANN framework with consideration of SGS spatial features is a promising approach to develop advanced SGS models in the LES of turbulence.