Mathematical Modeling and Analysis
Mathematical Modeling and Analysis
The dynamics of turbulent flows are governed by the Navier-Stokes equations (NSE). However, current mathematical methods cannot solve these equations analytically. We also cannot compute the NSE for high Reynolds number flows in realistic timescales with presently available computing resources. In this study, we present the expected and observed capabilities of the two-dimensional (2D) Navier-Stokes-alpha (NS-alpha) model in computing 2D turbulence. For the test cases (varying the parameter alpha) considered so far in this study, it is observed that the NS-alpha equations capture most of the large scale (scale greater than the length-scale alpha) features of the turbulent flow.
