  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.
