To download all objects using wget:

wget -r -H -N --cut-dirs=4 --include-directories="/v1/" "https://swiftbrowser.dkrz.de/public/dkrz_1e33ba3a-9ecb-452f-93b9-583cf4a66e57/ICON-HDCP2-DE/AlphaRelease_Rev/?show_all"

Name
Humidity_Profiles_Alpha
Humidity_Profiles_Cntrl
Temp_Profiles_Alpha
Temp_Profiles_Cntrl
WindSpd_Profiles_Alpha
WindSpd_Profiles_Cntrl
CloudNet_Own_ICONAlpha2_LACROS_14082014_v110817.png
CloudNet_Own_ICONAlpha_LACROS_14082014_v110817.png
CloudNet_Own_ICONCntrl_LACROS_14082014_v110817.png
ICON_DOM03_ALPHA2_RADOLAN_5min_precip_2014-08-14.mp4
clivi_dom03_20140814_alpha_v1_v2.mp4
clwvi_dom03_20140814_alpha_v1_v2.mp4
huss_dom03_20140814_alpha_v1_v2.mp4
lhfl_s_dom03_20140814_alpha_v1_v2.mp4
prw_dom03_20140814_alpha_v1_v2.mp4
ps_dom03_20140814_alpha_v1_v2.mp4
shfl_s_dom03_20140814_alpha_v1_v2.mp4
t_g_dom03_20140814_alpha_v1_v2.mp4
tas_dom03_20140814_alpha_v1_v2.mp4
u_10m_dom03_20140814_alpha_v1_v2.mp4
umfl_s_dom03_20140814_alpha_v1_v2.mp4
v_10m_dom03_20140814_alpha_v1_v2.mp4
vmfl_s_dom03_20140814_alpha_v1_v2.mp4
wind_dom03_20140814_alpha_v1_v2.mp4
z_pbl_dom03_20140814_alpha_v1_v2.mp4