Solution at high reynolds numbers
Hi
I've written a code for solving the Navier Stokes equation using element based finite volume method on a colocated grid. My problem is that the code works fine when the Reynolds number isn't too high. but when i increase the Reynolds number the code diverges. I've tried to run the code on different problems ( Cavity and flow between two plates) and on all of them i couldn't get any results at high Reynolds numbers. Does anybody know what the problem could be? It would be great if someone could help me. thank you 
Are you using any kind of upwinding? Your numerical method might be unstable when Peclet number is high for the elements. Also, do these problems come up when the flow is turbulent? or is the Reynolds number not high enough for turbulence?

This behavior is typical for some formulations, for example centred discretization in FD and FV methods or spectral methods without dealiasing or FE without stabilization.
At first, try refining the grid in such a way to estimate a cell Reynolds number no greater than 2. It is stable? If you are solving turbulence, then you are encountering problem typical of unresolved DNS with nonstabilized method. Please, give us more details 
The flow is laminar and I'm using the first and second order upwind scheme.
For the cavity problem I could get results for Reynolds number of 1000 but I'm struggling to get results for Reynolds number of 3200. In the case of wavy channel I couldn't get any results for Reynolds number higher than 75. How can i improve my upwind scheme? 
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I forgot to say I'm solving the Incompressible steady state flow equations.

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ok, consider also that the 2D liddriven cavity flow starts to become unsteady after Re=1000. I think you should run an unsteady formulation 
What kind of upwinding are you using?

I've used both first and second order upwind scheme. It has been described in versteeg.

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