Numerical study on impacting-freezing process of the droplet on a lateral moving cold superhydrophobic surface

•The impacting-freezing process of the droplet on a lateral moving cold superhydrophobic surface is numerically studied.•The initial freezing location of the droplet preferentially appears on the upstream side of the droplet.•The freezing on the downstream side of the droplet lags behind that of the upstream side.•A unified morphology distribution map of rebound and adhesion of the droplet is plotted.