The polishing efficiency of the soft abrasive flow (SAF) method is low, especially for the hard-brittle materials. To resolve this problem, an abrasive flow polishing method using ultrasonic vibration is proposed. The polishing mechanism is first introduced, then the Euler multiphase model is used to build the fluid mechanical model of the proposed method. The turbulence kinetic energy (TKE) and particle dynamic pressure (PDP) at different vibration amplitudes and frequencies are studied. Simulation results show that the boundary vibration can promote the TKE and PDP, and hence, affecting the polishing efficiency and quality. A set of comparative polishing experiments with or without boundary vibration and different vibration amplitudes for K9 glass are then conducted to explore the performance of the proposed method. It can be found that this method can produce highly smooth surface for K9 glass and exhibits higher polishing efficiency as compared to the traditional SAF method. (C) 2020 Elsevier B.V. All rights reserved.