Following the Bożek-Wyskiel parametrization tilted initial condition, an alternative way to construct a longitudinal tilted fireball based on the Glauber collision geometry is presented. This longitudinal tilted initial condition combined with the Ideal-CLVisc (3+1)D hydrodynamic model, a nonvanishing directed flow coefficient v1 in a wide range is observed. After comparing the model's results with experimentally observed data of directed flow coefficient v1(η) from sNN=200GeV Cu+Cu, Au+Au collisions at RHIC energy to sNN=2.76TeV and sNN=5.02...