tensor expansion of anisotropy Invariants
 

Hi,

I am trying to calculate the second and third invariants for a turbulent flow. I have the second order statistics (both transient and averaged). i.e uu, vv, ww, uv, vw and uw. These are supposed to be expanded as II = b_ij / 2 and and III = bij bjk bki/3 but I am stuck at this point on how to expand them further to get the second and third invariants.
any help would be appreciated.

Thanks.

Thangam.