This paper focuses on comparing the present advection schemes to capture the interface without reconstruction. The VOF (volume of fluid) equation is solved based on gradient smoothing method. With the help of blending function, the interface capturing schemes are devised as a blend of high-resolution and compression schemes. There are three well-known schemes to be selected, including CICSAM (Compressive Interface Capturing Scheme for Arbitrary meshes CICSAM), FBICS (Flux-Blending Interface-Capturing Scheme) and CUIBS (Cubic Upwind Interpolation based Blending Scheme).Using gradient smoothing operation, the variables of upwind points can be calculated by interpolation on gradient smoothing domains. Two benchmark tests are adopted. Numerical results show that CICSAM scheme produces more numerical error with the increase of Courant number because of numerical diffusion, while FBICS and CUIBS schemes can obtain satisfactory predictions at different Courant numbers.