Time evolution
 

Hello everyone, I'm having a question regarding time integration.

I developed a code for unsteady flows using FVM, however, my problem evolves in time in a strange way (depends on the Reynolds). In my code, the flow takes almost twice to enter in steady state, when compared to the same problem executed in another code. After moving to the steady state, the results are the same when compared to the benchmark.

For temporal discretization, I used the fully implicit method. To approximate the velocity values on the faces of the control volume I used linear interpolation. Could this be the problem? Since this method of interpolation does not work well for higher Reynolds?

Ps: For Re<200 the temporal evolution occurred in an expected way.

Thank you in advance.

It is not a serious problem If the only issue is the convergence speed!
Generally rate of convergence depends on many things from selected algorithm (SIMPLE, PISO,...) to relaxation factors, selected method for numerical solution of equations ( ADI,...).
you had better to use staggered grids for mementum equations in which velocities are calculated at faces of the element. for scalar equations like energy linear averaging the velocity field sounds ok.
Note that numerical codes usually becomes unstable as Re increases. relaxation factors can fix it to some extends. If Re reaches the turbulent flow margins you should add a proper turbulent model to find a stable convergence.

Regards