Impact of rotation on decay of forced homogeneous anisotropic turbulence

This study extends the cubic decay model of Homan et al. (Phys. Rev. Fluids, 2024) for the Reynolds stress transport equation (RST). A polynomial closure model is derived with additional terms that specifically capture the effects of uniform rotation. To determine the coefficients of these added terms, we perform high fidelity simulations of forced, homogeneous anisotropic turbulence with an added linear forcing Au, where A is skew-symmetric. Such forcing is equivalent to the Coriolis force in a uniformly rotating frame. By interpreting the simulation frame as a hypothetical rotating frame, the simulation results can be pulled back to a fixed reference frame, where the added closure terms capture the leading order influence of rotation and the data can be used for determining model coefficients.