In the neutrino physics the direct measurement of the cosmogenic neutrino at energy of $10^{15}-10^{18}$ eV is still a challenging item. The most recent analysis of IceCube data results in an energy spectrum between $10^{13}$ and $10^{16}$ eV. We present the preliminary results of detailed Monte Carlo simulation of tau-induced air shower. In this study we consider the highest tau decay branching ratio ($\pi^{-} \pi^{0}$) at different energies ($10^{16}-10^{18}$ eV) generated by CORSIKA to evaluate the detection efficiency of the TAU-shoWER (TAUWER) array. It is designed as a future experiment for Ultra High Energetic tau-neutrino (UHE $\nu_ {\tau}$) astronomy to use Earth neutrino skimming strategy.
The parameters (the distance from array plane to the emerging point and the neutrino energy) to optimize the detection efficiency and the trigger design for the TAUWER array setup are presented.