Energy, Enstrophy and Parameter Sensitivity of the Time Relaxation Model

Fluid models were developed as an alternative to the Navier-Stokes equations to avoid computational complexity especially in case of turbulent flows. Model errors due to the variation of a model parameter become an immediate concern in different aspects. In this presentation, we discuss two such aspects as the conservation of energy and enstrophy, and the reliability of the model given a parameter value for the so called Time Relaxation Model. We numerically present the application of sensitivity computations in identifying the range of time relaxation coefficient values for which the fluid model can be considered a reliable approximation.