When was the last time we saw back-to-back significant supercell and/or tornado events in Oklahoma? Heck, for the most part, I don't think OK has seen a multiple-tornadic-supercell day since 10-9-01. Yes, there have been a few days (such as 5-8-03) that saw a couple of significant tornadic supercells in the state. However, I don't think the state has seen what I'd call a "tornado outbreak" since that fall 2001 event. Oh well.
The shear profiles for Tuesday look pretty good, as does the low-level moisture. It's still a little early to say much, but I agree with the MDT on the SWODY3. Forecast soundings from 00z/23 NAM run indicates the environment east of the dryline in central and eastern OK, northcentral TX, and eastern KS looks primed for tornadic supercells Tuesday. CAPE isn't remarkable by any means, but we may be able to push 3000 j/kg in some areas. Shear profiles look relatively strong as the 500mb jet streak moves into the warm/moist sector. Hodographs do show some slight backing around 3-4km AGL in some areas, but that doesn't concern me too much at this time.
The closest analog I can find is 4-6-06 -- a cut-off 500mb low in northwestern Kansas, with a surface low east-northeast of the upper-level low. The 00z NAM showed the dryline to be east of I35 N of I40 Tuesday, which isn't too far west of the dryline location on 4-6-06. In addition, IIRC, dewpoints on 4-6-06 were in the mid-60s east of the dryline, which again seem similar to what is forecast Tuesday.
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http://www.spc.noaa.gov/exper/archive/events/060406/index.html
Unfortunately, much of the warm sector busted in regards to tornadoes on 4-6-06 (though there was a multiple-tornado-producing supercell N of I70). I think one of the primary limiting factors on that day was a very narrow and limited instability axis, largely caused by persistent strato-cu across northeastern Oklahoma, southeastern KS, and southwestern MO. At this time, it looks like the instability axis should be wider than was seen on 4-6, which is a good sign.
It's important to remember that the NCEP models have shown a bias to mix the dryline a little too quickly / too far east on days such as what we'll see Tuesday, so I wouldn't be surprised to see the actual dryline end up 75-100 miles west of the current forecast. And, of course, we know how tough cut-off lows aloft can be to forecast, so we shall see.
Right now, I'm thinking a high-end MDT event, though the potential for an upgrade to that is possible. It's still 48hours out, and it still has to deal with potential affects/influences from overnight convection tomorrow and Tuesday morning.