Need help on modeling of Realizable k-epsilon turbulence viscosity

Dear community,

I am having a question that need your help reading the modeling of Realizable k-epsilon turbulent viscosity. 

In this model, CMU is varied instead of a constant value as in the standard model. In that, some additional equations is used for calculate the CMU, including:

U*=sqrt(S_ij*S_ij+Ω_ij*Ω_ij)

Ω_ij= 0.5*(∂u_i/∂x_j  - ∂u_j/∂x_i )

S_ij= 0.5*(∂u_i/∂x_j  + ∂u_j/∂x_i )

and

W=S_ij*S_jk*S_ki/Š³

S=sqrt(S_ij*S_ij)

I wonder for the two-dimensional (2D) simulation, the U* and W will be expressed as follows???

U* = sqrt(S₁₁*S₁₁+S₂₂*S₂₂+2*S₁₂*S₁₂+2*Ω₁₂*Ω₁₂)

W = (S₁₁^3+S₂₂^3+3*S₁₂^2*(S₁₁+S₂₂))/S^3

with S=sqrt(S₁₁*S₁₁+S₂₂*S₂₂+2*S₁₂*S₁₂)

Thank you for your help.