Hello
For k-eps model, the advection part needs the most efficient scheme in a term of computation cost. That's why it is recommanded to use a fully implicit scheme like characteristics (scheme 1) or SUPG (option 2).
scheme 3, 4 and 5 are conditionnaly stable explicit schemes, that's why you have such kind of error. This means mainly that your time step is very big compared to the one admissible by the stability condition of the scheme.
In your case, it is preferable to change the scheme, or to reduce abruptly the time step or to change the turbulence model (use mixing length (scalar) or Spalart-Allmaras (1 equation)).
with my best regards
Riadh ATA