To download all objects using wget:

wget -r -H -N --cut-dirs=4 --include-directories="/v1/" "https://swiftbrowser.dkrz.de/public/dkrz_ee0fb9db-31e9-4c9e-87eb-eaeead11bed1/DYAMOND_PHASE2/ecmwf-sst-sic-dyamond-winter/?show_all"

Name
sst-sic_20200110
sst-sic_20200111
sst-sic_20200112
sst-sic_20200113
sst-sic_20200114
sst-sic_20200115
sst-sic_20200116
sst-sic_20200117
sst-sic_20200118
sst-sic_20200119
sst-sic_20200120
sst-sic_20200121
sst-sic_20200122
sst-sic_20200123
sst-sic_20200124
sst-sic_20200125
sst-sic_20200126
sst-sic_20200127
sst-sic_20200128
sst-sic_20200129
sst-sic_20200130
sst-sic_20200131
sst-sic_20200201
sst-sic_20200202
sst-sic_20200203
sst-sic_20200204
sst-sic_20200205
sst-sic_20200206
sst-sic_20200207
sst-sic_20200208
sst-sic_20200209
sst-sic_20200210
sst-sic_20200211
sst-sic_20200212
sst-sic_20200213
sst-sic_20200214
sst-sic_20200215
sst-sic_20200216
sst-sic_20200217
sst-sic_20200218
sst-sic_20200219
sst-sic_20200220
sst-sic_20200221
sst-sic_20200222
sst-sic_20200223
sst-sic_20200224
sst-sic_20200225
sst-sic_20200226
sst-sic_20200227
sst-sic_20200228
sst-sic_20200229
sst-sic_20200301
sst-sic_20200302
sst-sic_20200303
sst-sic_20200304
sst-sic_20200305