Wiener dogs have difficulty in heavy snow, but if they're young and active they will charge out into it and do the "submarine" routine, vanishing under the surface and burrowing forward. you can spot their position by the "periscope" (raised tail). It's quite dramatic when they suddenly surface, and I usually yell "Thar she blows!!!" to encourage them to even more heroic endeavours.

Old Dachshunds, however, regard heavy snow with loathing, respond with weary sighs and groans when you try to shove them outside, and look for a chance to pee on the rug instead.