A method of superimposing multiple phase patterns in spatial light modulator to simulate the drift behavior of Airy beams in turbulence is proposed. Random phase screens which are generated by the Kolmogorov power spectrum model are superimposed with cubic phase patterns of Airy beams, and then a combined phase mask is generated. The combined phase mask is loaded into the spatial light modulator to simulate Airy beams in turbulence. Through comparing the drifts of Airy beams and related Gaussian beams, it is found that the drift distances of Airy beams are less than that of related Gaussian beams. Therefore, Airy beams as information carriers have a good anti-jamming capability in remote transmissions.