A numerical study of dynamics in thin hopper flow and granular jet

Wang Meng-Ke^{1, 2}, Yang Guang-Hui^{1, 2}, Zhang Sheng^{1, 2}, Cai Han-Jie^{1, 2}, Lin Ping^{1, 2, †}, Chen Liang-Wen^{1, 2}, Yang Lei^{1, 2}

The time-averaged profile of v_z as a function of y coordination inside the hopper with D = 10d at different heights. The vertical black dashed line is drawn for visual clarity.