A pressure strain correlation model employing extended tensor bases

TL;DR

This paper introduces an extended tensor basis for pressure strain correlation models in turbulence, leading to improved accuracy and robustness in Reynolds Stress Model simulations across various turbulent flows.

Contribution

It proposes a novel tensor basis extension for pressure strain models, enhancing their predictive performance and physical fidelity.

Findings

Significant improvement in prediction accuracy over existing models

Enhanced robustness across diverse turbulent flow scenarios

Analysis and justification of additional tensors based on physics and data

Abstract

Accurate and robust models for the pressure strain correlation are an essential component for the success of Reynolds Stress Models in turbulent flow simulations. However replicating the non-local action of pressure using only local tensors places a large limitation on potential model performance. In this paper we outline an approach that extends the tensor basis used for pressure strain correlation modeling to formulate models with improved precision and robustness. This set of additional tensors is analyzed and justified based on physics based arguments and analysis of simulation data. Using these tensors models for the rapid and slow pressure strain correlation are developed. The resulting complete pressure strain correlation model is tested for a wide variety of turbulent flows, while being contrasted against the predictions of established models. It is shown that the new model provides significant improvement in prediction accuracy.