When wireless ultraviolet light is availed for non-line-of-sight scattering communication in the atmosphere, the scattering and absorption of atmospheric particles and the change in low-altitude atmospheric turbulence have a substantial impact on the performance of ultraviolet communication (UVC). This study builds a link model for wireless ultraviolet non-line-of-sight (NLOS) single-scattering communication under low-altitude atmospheric turbulence. Then, computer simulation is performed to analyze the system's communication performance, such as the light intensity distribution characteristics, signal-to-noise ratio, and signal attenuation, in NLOS scattering communication under different factors, including the ranges of the transmitter and the receiver, the refractive index structure parameters, and the pointing angle, and the effect of altitude variation on UVC during the day and at night. The simulation results reveal a gap between the performance of wireless UVC during the day and at night under turbulence changes at different heights. In the cases of horizontal communication, vertical communication, and oblique communication, the atmospheric refractive index structure constant at night increases by an order of magnitude compared with that under the weak turbulence condition, and the signal energy attenuates to 1/2.09, 1/2.16, and 1/2.03 of the original values, respectively, on average. The atmospheric refractive index structure constant during the day increases by an order of magnitude compared with that under the weak turbulence condition, and the signal energy attenuates to 1/2.07, 1/2.15, and 1/1.96 of the original values, respectively, on average. Clearly, communication at night is more affected by turbulence, and communication performance during the day is better than that at night. Moreover, turbulence has a greater impact on vertical communication.