  We present S\'IGAME simulations of the [CII]157.7$\mu$ fine structure line
emission from cosmological smoothed particle hydrodynamics (SPH) simulations of
seven main sequence galaxies at z=2. Using sub-grid physics prescriptions the
gas in our simulations is modeled as a multi-phased interstellar medium (ISM)
comprised of molecular gas residing in giant molecular clouds, an atomic gas
phase associated with photo-dissociation regions (PDRs) at the cloud surfaces,
and a diffuse, ionized gas phase. Adopting logotropic cloud density profiles
and accounting for heating by the local FUV radiation field and cosmic rays by
scaling both with local star formation rate (SFR) volume density, we calculate
the [CII] emission using a photon escape probability formalism. The [CII]
emission peaks in the central $\lesssim$1 kpc of our galaxies as do the SFR
radial profiles, with most [CII] ($\gtrsim$70%) originating in the molecular
gas phase, whereas further out ($\gtrsim$2 kpc), the atomic/PDR gas dominates
($\gtrsim$90%) the [CII] emission, no longer tracing on-going star formation.
Throughout, the ionized gas contribution is negligible ($\lesssim$3%). The
[CII] luminosity vs. SFR ([CII]-SFR) relationship, integrated as well as
spatially resolved (on scales of 1 kpc), delineated by our simulated galaxies
is in good agreement with the corresponding relations observed locally and at
high redshifts. In our simulations, the molecular gas dominates the [CII]
budget at SFR$\gtrsim$20 M$_{\odot}$yr$^{-1}$ (SFR density $\gtrsim$0.5
M$_{\odot}$yr$^{-1}$kpc$^{-2}$), while atomic/PDR gas takes over at lower SFRs,
suggesting a picture in which [CII] predominantly traces the molecular gas in
high-density/pressure regions where star formation is on-going, and otherwise
reveals the atomic/PDR gas phase.
