If we want to simulate long period case, we must use time scale to reduce our simulation time. But, I still dont understand the effect of NS Equation. How is the effects?
Scaling through non dimensionalization makes your max time as 1. When we non dimensionalize NS equation, we non dimensionalize other parameters like velocity, viscosity , pressure as well. But as we scale, our time step decreases, hence there is no effect on final solution for NS in simulation.