For economizing the space of equipment and increasing the throughput of product, a vertical transportation is usually used for manufacturing a large and thin glass substrate. Due to the fragile characteristic of the large and thin glass substrate, investigation of a method for maintaining the glass substrate stably and safely on a supporting frame during manufacturing processes becomes an important subject. This subject belongs to a kind of moving boundary problem and the method of Arbitrary Lagrangian Eulerian (ALE) with a finite element scheme is suitably used to solve it. Also, related methods of the generalized minimal residual method (GMRES) and pressure convection diffusion method are adopted to calculate pneumatic pressures distributed on the glass substrate. The results show that under a low frequency of the vertical transportation the glass substrate stably lies on the supporting frame, oppositely under a high frequency of the vertical transportation the glass substrate has possibility to depart from the supporting frame. The later situation is disadvantageous to the glass substrate and should be avoided as much as possible.