Invariant data-driven subgrid stress modeling on anisotropic grids for large eddy simulation

We present a new approach for constructing data -driven subgrid stress models for large eddy simulation of turbulent flows using anisotropic grids. The key to our approach is a Galilean, rotationally, reflectionally and unit invariant model form that also embeds filter anisotropy in such a way that an important subgrid stress identity is satisfied. We use this model form to train a data -driven subgrid stress model using only a small amount of anisotropically filtered DNS data and a simple and inexpensive neural network architecture. A priori and a posteriori tests indicate that the trained data -driven model generalizes well to filter anisotropy ratios, Reynolds numbers and flow physics outside the training dataset.