Interesting swirls in the open areas extending north from Greenland. Then there's the interesting feature in the lower right, and the subsequent waves propagating northward. After seeing this gif from blumenkraft.
https://forum.arctic-sea-ice.net/index.php/topic,2649.msg277039.html#msg277039
I get the feeling the "plunger" action of the tide moving north through the Nares sends a wave that gets trapped along the coast due to coriolis. It's then forced upwards due to bathymetry, creating the swirl, with some of the wave reflect back, but much of it continuing poleward.
There is a lot of "sloshing" in the Lincoln Sea area.
Contrast boosted. Click to run.
Blumenkrafts post is indeed interesting, the tidal "breathing" is very clear. But remember that the tides go both ways, and the general current in the Nares is to the south. It's a bit like the propagation of electrons in an alternative current - the electrons slosh back and forth with every Hertz but on average they always flow in the direction of the current.
So if there is tidal movement of water going north, twice daily, there should be a corresponding and equal movement of water going south, twice daily. Somehow everybody who thinks they see large tidal movements seem to forget about this basic fact.
So how big are the tides in the Nares, and how much water is actually being moved back and forth? This paper was published by AGU:
Propagation and Vertical Structure of the Tidal Flow in Nares Strait and makes for very interesting reading.
And the image of tidal effect in the Arctic is a keeper - I've been looking for an image like his for a long time, see below. The tidal effect in the Arctic is very similar to that seen in the Mediterranean, ranging from 5 to 15 cm. This is too small to be noticeable except where straits create chokepoints - as does the Messina Strait, leading to an occasional narrow current (a few tens of meters accross) down the Sicilian coast (i.e. the current is normally not noticeable but I have experienced days of surprisingly strong movement - perhaps phase related?)
So the Nares strait should similarly experience tidal currents. Apparently, a standig wave in the middle of the strait has the biggest tidal effect (up to 1.5 meters). The peak currents seem to have a wide range depending on depth, from 30 down to 5 cm/s. For simplicity's sake I estimate one hour at 15cm/s for the peak flow which shouldl be very close to total flow (i.e. the 6 hour period between tidal turns).
With an average depth of 250 meters and cross section of 35 km, one hour at 15 cm/s will move appr. 5 km3 one way twice daily. And twice daily, the same amount of water moves in the opposite direction. Not really that much and nothing that should be expected to have any significant effect outside of the Nares strait itself except possibly as a narrow current along the Greenland coast as Blumenkraft has seen and demonstrated on occasion.
So do not expect the tides to have any effect whatsoever om the movement of ice outside of the Nares strait and possibly along the northern Greenland coast. But not in the Arctic proper.