Page 1
: Title Page. This is a D3D animation of theta-e surface from26/27 Nov 01. Note the canyon-looking (BRP) feature over the central US.
First thing to remember: TROWALs are canyons on isentropic surfaces -
that is, they are regions of local warmth. We will be considering
TROWALs that are associated with occluded cyclones. Of course, a local
canyon on an isentropic surface need not be associated with a synoptic
cyclone, but for the purposes of this talk, TROWALs accompany occlusions.
Note that D3D is a very handy way to visualize TROWAL features.
Page 2
: Self-explanatory. Who wrote this module?Page 3
: Goals of the training. Understanding the TROWAL concept may ormay not help you get a leg up on the model forecast - but it will help
you understand why the model forecast is doing what it is doing. Also,
you'll better understand a structure observed in extratropical cyclones.
May be a different way of looking at already-known structures in a storm.
How can you use AWIPS to find TROWALs?
Page 4&5
: Talk outline.Page 6
: Define TROugh of Warm air ALoft. First identified/observed inthe 1950s by Canadians, then the concept was neglected/forgotten;
Reintroduced by Martin. Original TROWAL literature: focus on structure,
not dynamics.
Page 7
: Earliest work in the late 40s through the 50s, but then theconcepts weren't widely taught. Observations showed tropical air aloft
moving poleward from the point of occlusion. Red boxes highlight
observations of warm air in each study. A lot of observational studies.
Page 8
: Talk outlinePage 9
: A TROWAL is a conceptual model. The two most common conceptualmodels: Norwegian Cyclone Model, warm conveyor belt [WCB] and cold
conveyor belt [CCB] of Carlson. The benefit of these models is that they
give an intuitive grasp of where to look for strongest rising motion,
and how the storm will develop. Also gives a 1st guess of airflow
through the system. The Norwegian cyclone model describes the evolution
of a family of storms along the Polar Front. Incipient->developing->
mature->occluded storm along a front.
Page 10
: Review of Carlson concepts of cyclogenesis. The warm conveyorbelt, cold conveyor belt and dry airstream are described. Observations
suggest that the TROWAL airstream is west of the warm conveyor belt (in
some but not all storms) so there can be ascent west of the limiting
streamline. The TROWAL airstream is characterized by strong ascent over
the cold conveyor belt, and cyclonic turning towards the surface
cyclone. Despite the Limiting Streamline (LS), air moves from the warm
sector to near the Low, contrary to Carlson's conceptual model. Note
that the TROWAL airstream turns cyclonically with rising motion over
cold air; the warm conveyor belt turns anticyclonically downstream
as it rises.
Page 11
: Schematic of a TROWAL. Things to note:Precipitation is aligned with the trough of warm air aloft, which is
represented by the notch in the (isentropic) surfaces
Height of TROWAL increases steadily as you move from its roots in the
warm air
Note that there is implied vertical motion in this figure, implied both
by the precipitation and the slopes of the isentropic surfaces.
A TROWAL ascends - therefore it moves through isobaric surfaces. The
correct surface to see a TROWAL on is an isentropic one (either theta or
theta-e, depending on the moisture present).
Page 12
: Talk outlinePage 13
: Should be a review of things said already. TROWALs in thismodule at least are associated with occluded cyclones. That's not to say
that they aren't found elsewhere in the atmosphere, but the structure
we're talking about today is linked to occlusions.
TROWALs are manifest by a canyon on an isentropic surface. A region of
locally warm, moist air. Think about what this means for static
stability and moisture availability.
Because the isentropic surface is strongly slanted, it is a region of
potential horizontal frontogenesis because a strong horizontal
temperature gradient is in place
Warm moist air north of the warm front. No need to worry about
convection to the south robbing your moisture in a winter storm (as
happens so often in central Illinois for WI storms!) Warm moist air is
already present if a TROWAL is there.
Frontogenesis + warm moist air + strong front: Strong vertical motion
and lots of precipitation
Knowing where the TROWAL is: where to focus on development of important
weather.
What causes the vertical motion? Could be isentropic upglide. More
likely, since this is a dying, occluded storm: frontogenesis.
Page 14
: Why are TROWALs important? Strongly deformed theta surface (asin the canyon on the title slide) can lead to vigorous ascent if the
wind is blowing up the surfaces. Also, strongly sloped isentropes mean a
strong horizontal front - potential for strong frontogenesis and the
attendant circulations. If you know where the TROWAL is, focus on that
region for a big response from any incoming atmospheric forcing. TROWALs
correspond to regions of low stability, more moisture, and strong fronts.
And remember, since this is in an occluded system, you might be expecting
things to be spinning down, but if a TROWAL is present, that isn't
necessarily going to be the case.
Page 15
: Outline slide, Vertical motion.Page 16
: Two famous equations, quasi-geostrophic omega equation in"regular" format and Q-vector notation.
Page 17
: Rotate the fixed (x,y) cartesian coordinates of Q-vectors toalong-front and cross-front. Change in Qn affects the magnitude of the
temperature gradient, changing Qs alters the orientation of the
isotherms. In other words, Qn forcing strengthens the front; Qs forcing
changes the orientation of the front. Qn forcing is something like
deformation, with the deformation axis parallel to the front. Qs forcing
is caused by cyclonic thermal vorticity advection by the thermal wind,
one of the forcing mechanisms in the Sutcliffe Development Equation.
Page 18
: What happens when Qs forcing changes thermal structure?Consider an initial straight front with convergent Qs at some time. How
will this evolve with time? Last slide: Forcing Qn will changed the
packing of the isotherms, so this front should not get stronger/weaker.
The isotherms will not become more closely packed. Their orientation
will change. Along-front forcing, which is not always what you think
about in frontogenesis.
Page 19
: As time passes, isotherms deform and a valley is produced. Thiscould be how TROWALs form - because TROWALS are also canyons on
isentropic surfaces. Note that because there is no Qn forcing, the
isentropes do not become more tightly packed.
Page 20
: Given the structures associated with a TROWAL - how do you findthem on a surface or upper air chart or in a satellite image?
Page 21
: Obviously, need an occluded cyclone, and a pronounced warmintrusion wrapping around the occlusion. S-shape to isotherms. Also,
since we've been referencing theta-e surfaces - make sure the atmosphere
is saturated so that theta-e is the relevant dynamic surface.
Page 22
: This is a figure of the 312K theta-e surface and the colorcoding is the pressure at which the theta-e surface occurs. The red
pressures are near 950 mb, the bluest are near 600, the purple near 400.
Nice wrapped system. In a live session, a student would be asked to
identify where the low pressure should be, and where the warm air has
wrapped around the storm. (This should be an Easy Question). The TROWAL
is a tongue of warm air/high pressures on theta-e surface.
Page 23
: A TROWAL is warm and moist air - so it is often cloudy.Consider this storm over the Pacific. The GFS data shows the surface
pressure overlaps where the clouds put the storm. Well-mixed temperature
structure at the surface, but a nice tongue of warm air at 700mb from WA
northwestward into the G. of AK.
Note that the terminus of the TROWAL seems to be where there is active
precipitation - very steeply slanting isentropes in that region, a
strong front.
Remember: the 700-mb temperature is on an isobaric surface; TROWALs
follow isentropic surfaces. The isentropic surface may move through the
isobaric surface.
Page 24
: How can you use satellite imagery to find TROWALs? Best way:Low Sun-angle shots or animation that allow you to discern different
airstreams.
Page 25
: So much information about cloud height can be gleaned from lowsun-angle shots. Note all the different cloud heights in the eastern
system. The WCB is clearly visible - could one of the other edges also
be a TROWAL airstream edge? Note that the WCB turns anticyclonically,
and the TROWAL airstream will turn cyclonically. Look for cloud edges
that turn this way.
Page 26
: Satellite animation can also give clues. Note the emergence ofcold cloud tops to the west of the WCB in the landfalling Pacific
cyclone. It appears that this warm air is not moving downstream with the
conveyor belt - it's trapped, wrapping a little around the occluding
cyclone. (This also happens in the very occluded system at the western
edge of the loop). The TROWAL region is where surface winds can be quite
intense - over the Ocean, this can have dire shipping consequences. In this
case, look at the very strong ship-sinking convection that develops near
the Queen Charlottes as the TROWAL approaches.
Other things to mention: if it is not the TROWAL airstream, this could
be convection in the destabilized airmass as dry air overruns the low
level moisture. Not enough data over the ocean to make a definitive
statement. In either case, however, satellite imagery lets you keep
track of things.
Page 27
: If there's not enough observational data: add model fields togive a guess at what's up. Sometimes you need to combine satellite
imagery (WV image over AK, nice swirl of an occluded system) with model
data (700-mb temperatures from the GFS). Note that the 700-mb
temperatures show a clear warm prod - the 850 mb temperatures did not
have this feature (not in a 5K contouring, at least). Sometimes you have
to look at more than one level to find a TROWAL. Better yet, look at an
isentropic surface! In this particular case, the TROWAL may not exist
at 850 mb, being confined instead to regions around 700mb. Even if it
is not visible at 700, it may exist above or below that level.
Page 28
: OB5 has some fields in the volume browser that can help identify the TROWAL airstream. Here's an example from earlier this winter, with a storm of modest intensity on the east coast. Note, however, the enhancement in clouds stretching south-southwestward from NY back to Virginia.Page 29
: Radar echoes over the same time show a slow decrease in coverage under the coldest cloud tops. Could this be associated with a TROWAL airstream? If you overlay thetae analyses of pressure, you do see a warm tongue near the radar returns/under the enhanced cloud top. This is certainly consistent with the TROWAL structures discussed earlier. Air in the warm sector over the Atlantic Ocean moves north into southern New England and then turns westward and southward over NY and PA. Output from the GFS shows this motion more than output from the ETA. Whether or not you trust one model over the other is knowledge you'll accrue with time.Page 30
: This is a water vapor image from the Plains blizzard in late November, after the storm had spun down considerably. In other words, it's very occluded at this point. A good question might be: are the clouds over the High Plains reflecting a TROWAL airstream? If you look at analyses on a theta-e surface, it's unclear. Recall, however, that theta-e is a valid thermodynamic surface only if the atmosphere is saturated, a state that might not be met in the late stages of this storm. An analysis on theta surfaces does show a nice warm tongue where the coldest clouds tops are, however, consistent with a TROWAL.Page 31
: Steps 1 and 2 of 7 to finding a TROWAL. You can put the searchcriteria into a cookbook format. Look at the surface map: Are there any
thickness ridges associated with the SLP minimum (if you're looking at
model forecast output - do they have continuity in time?). Take a cross
section perpendicular to the thermal ridge - use that to see if the
isentropic surfaces display a local minimum at the thickness ridge. DO
this to find the relevant isentropic surface to examine forcing on. More
important for an intensive post-storm analysis than during a forecast.
Page 32
: Schematic of step 1. May have to look through more than onelevel to find the most pronounced ridge-y-ness in the isotherms. Show
where the cross section would be taken - note that it should be
perpendicular to the thermal ridge. Again, the TROWAL and the occlusion
are not parallel.
Page 33
: Steps 3 and 4 of the 7 steps to find a TROWAL - this can bedone in D3D with its theta-e surfaces. Or in D2D. Or you can plot single
theta-e values on a pressure surface in awips. (Dan Baumgardt, SOO at
LaCrosse sent me the code to do this -- this is like the TROWAL
diagnostic in AWIPS 5.2.2). Find the isentropic surface at the warm edge
of the warm/cold fronts - something like a limiting streamline. This is
going to be the surface that the warmest, wettest air parcels will
follow into the mid-troposphere.
Page 34
: Configuration of a cross-section to take. Note that thecross-section allows you to choose wisely the isentropic surface. The
"best" isentropic surface is fairly constant with time - in other words,
if it's 304 K at 1200 UTC, it's not going to be far from that at 1800
UTC or 0000 UTC.
Page 35
: This is the case study we will be examining - can you find theTROWAL in this image? These are surface MSLP contours (4-mb interval)
and 840-mb temperatures (5 C contour interval). Should be able to see
the warm tongue at 840mb extending from the lower Ohio Valley to
northern IA. The TROWAL is the line through the crest of the isotherms.
This is what a TROWAL would look like on an isobaric surface.
Page 36
: If you have time, or if you're doing a post-storm analysis,look at the QG forcing of the ascent, particularly in frontal
coordinates (Qn and Qs). Examine the frontogenesis if there is strong
banding - it should be parallel to the TROWAL, which is the axis of the
warmest air. There "should" be frontogenesis here, because the
isentropic surface are so strongly sloped in the TROWAL canyon. An
example of this during the case study is shown in just a bit.
Page 37
: Use AWIPS/D3D to generate trajectories to see if you canisolate an airstream that is the so-called TROWAL airstream. These
typically start close to the cold front in the warm air, and not far
south of the warm front. You would expect them to be in the warm
conveyor belt, but they do not move anticyclonically downstream as they
ascend. This is one aspect of D3D that really shines as far as
TROWAL-finding goes.
Page 38
: Reminder: TROWAL trajectories show vigorous ascent - can leadto copious precipitation amounts. This is a Repeat/reminder slide.
Page 39
: Now on to another case study [OUTLINE]Page 40
: Lots of snow over the upper midwest.Wilmarr MN: 30.8 inches. Sioux Falls about 1/15th of annual
precip in one storm. Second biggest storm on record.
LES helped give 30+" in the UP (although the snow was not all Lake Effect --
Lots of it was dynamically produced by the storm) Madison: Up to this storm,
no snow at all in Madison, then this storm gave a 10-minute flurry, denied the first snowless November ever! Had to settle for yet another November
with a trace of snow.
Page 41
: Storm had a history of snow production - around a foot in theblack Hills as well. Foot of snow widespread
Page 42
: ETA evolution starting at 00 UTC 27 September and going out 48hours. Note the filling of the storm, and the filling also of the tongue
of warm air (TROWAL). Also, note how the southern part of the TROWAL
races eastward and the western edge is stuck in central MN around a
pivot point in the atmosphere.
Page 43
: 500mb fields show a closed circulation opening up. In otherwords, this is fairly typical of storms that are fairly vigorous as they
emerge from the Rocky Mountains, but once they lose the column
stretching there, they fill - but they still are energetic enough to put down
a lot of snow eastward to Iowa and Minnesota. (Although I note they
usually don't dump on WI).
Page 44
: AFD commentary: Sioux Falls and La Crosse were typical ofcomments: Big storm coming, well-organized and deep. I Love the Sioux
Falls comment as the storm winds down. So this was an expected snow
Storm, and it was pretty well-predicted.
Page 45
: Self-explanatory.Page 46
: No one was really surprised by the snows that fell. Thisfigure shows eta forecasts valid at 0600 UTC 27 November, 12 hours
apart, and the forecasts show good run-to-run consistency, and paint
pretty much the same picture - lots of snow from South Dakota towards
the UP of Michigan. [Toggle between the two model runs] One difference
that I notice: seeming connection of convection to storm in one run
[30-h forecast] that lacks in the 18-h forecast. Not much precipitation
into southern WI with this storm - Madison got less than a tenth. SO
again, the trend here towards dryness, and a disconnect between the
southern convection and the northern precipitation verified. Can't tell
the true implications of that change unless there's more study. Also,
the position of the rain/snow line looks like it moves about 1 county
between model runs. This is key to a good forecast - how well is the
model developing the TROWAL that is in the forecast? Are the effects of
the TROWAL being manifest as warm air making it closer to NW Iowa? How
well is the model developing the TROWAL compared to reality? Knowledge
of where the TROWAL is is key to understanding and reacting to the
storm as it evolves.
Page 47
: 850-mb temperature fields for the same two forecasts as Page43. Note especially the tongue of warm air poking into Iowa and how the
sharpness of this tongue increases as you get closer to verification
time. Warmth and moisture is close by for the snowfall. Later model run
shows deeper penetration of warmth/moisture towards cold air. A better
representation of the TROWAL? Note how the position and the width of the
warm air change with the model runs. Subtle changes, but potentially
very important. Caveat: temperature is NOT theta-e. As shown later,
theta-e may match TROWAL better than temperature
Page 48
: IR data with METARS superimposed. There are stations reportingthunder in Nebraska, i.e., this system still is packing a punch even
though it is occluded. Note the development of enhanced cloudiness in a
SW-NE band over central MN at the end of the period - this region is at
the terminus of the TROWAL and where the model QPF forecasts were most
enthusiastic. Note that the enhancement in the IR that is crossing into
IA from Nebraska at frame 17 expands greatly as it rotates up into MN
where the TROWAL exists. This is an example of why TROWAL knowledge is
important: The very innocuous feature rotates up towards the TROWAL
and simply explodes one it reaches it as the dynamics of the satellite
cloud line feature and the TROWAL interact.
Page 49
: Note that the lightning strikes are all in the 850-mb warmtongue, i.e., close to the TROWAL. Suggestive of strong vertical
motions, probably frontogenesis. Again, the TROWAL is where to focus for
the most interesting weather. In this example, a vigorous impulse, as
indicated by the lightning, is approaching a TROWAL. Beware!
Page 50
: Water vapor loop, with enhancement on it. Region of heavy snowis just north of the dry air in the WV channel. Difficult to relate
water vapor structures to the TROWAL.
Page 51
: ~0600 UTC water vapor, with the TROWAL structure superimposed.TROWAL is shown as 304K isopleth on individual pressure surfaces (400,
500, 700, 850, 925 mb). Again, this is code from Dan Baumgardt @ ARX -
TROWAL diagnostic in 5.2.2. These two WV images demonstrate the
challenges of identifying the TROWAL location using just WV imagery.
Page 52
: 850-mb theta-e isopleths as a function of time. How might youexpect the Qs to be behaving associated with these contours? Recall that
convergence of Qs will lead to localized warming. You should expect
Qs to be relaxing with time here because the nose of warm air is relaxing
with time.
Page 53
: Since there is a band in the cloudiness - what causes bands inthe atmosphere. A whole load of things, but we will focus on
frontogenesis. 925-mb frontogenesis and the 304K isentrope (Theta-e).
Note how they are related. The TROWAL ends at the region of
frontogenesis. Not unexpected - strongly sloping isentropic surfaces are
primed for frontogenesis.
Page 54
: Relationship holds at 850 mb - the 304K isentrope seems lockedto the frontogenesis. Note that the contour interval of
frontogenesis is different here than in the 925-mb plot (4 vs. 12)
Page 55
: 304 K Theta-e surface ... this is the theta surface that Idetermined to be one that showed the TROWAL structure well. The canyon
initially extends from central IL (warm air) NWward to SD. (Figure
produced in D3D) Note how easily the TROWAL is identifiable using D3D.
The canyon really shows up!
Page 56
: Same thing, but from a different perspective (from the NE)Again, highlight the TROWAL canyon. (Another D3D figure)
Page 57
: Same thing, but from the NW, with a good view of the TROWALcanyon over Iowa/SD. Yet another D3D figure
Page 58
: These are trajectories from D3D. The color scale is at theupper left part of the map. "Warmer" colors are farther down in the
troposphere, bluer colors are higher up. This figure contains a series
of streamlines (from 0-42 h in a forecast run) that all originate at the
same lat/lon point, but at different levels. Note that some follow the
warm conveyor belt: rising motion, anticyclonic curvature, eventually
sinking downstream of the downstream ridge. Some of the parcels from
down low also enter the warm conveyor belt. But there are several that
ascend, but never make the anticyclonic turn to the east - these are
parcels "stuck" in the TROWAL airstream.
Page 59
: Reminder slide: what are the effects of Qs convergence? Qsconvergence leads to a local minimum in the laplacian of the temperature
-- meaning there's a local max in temperature.
Page 60
: Yellow in this plot is 1000-700 mb theta, and the green arecontours of Qs in the same layer. 5 different frames - this is 24 hours
of model output. Note the correlation between the Qs and the layer theta
curvature - convergence at local maxima, divergence at local minima. The
values appear to be insufficient to sharpen the trowal - it propagates
along and weakens. Sanity check: as a TROWAL moves along, do the Qs
fields support it? If a region of Qs develops, should see a thermal
perturbation develop as well.
Page 61
: Storm from 30 Dec 02. Screengrabs from AWIPS courtesy of DanBaumgardt, SOO at ARX. Note how the tongue of warm/moist air overlaps
nicely with the cloud edge (All of Canada has low Sun-angle in Dec, so
it's easy to pick ou the cloud edges). Theta-e ridge corresponds very
nicely to cloud edges. If a TROWAL exists - it will move through this
isobaric surface. That's probably why there isn't a great correspondence
between the cloud edge and the nose of the warm air.
Note GOES 8/10 boundary - GOES 8 significantly dimmer.
Page 62
: This is another view of the visible imagery, with RUC 850-mbtemperature fields overlain, as well as weather. Note the development of
a TROWAL in the temperature fields that lags the presence in the theta-e
field. Do not rely simply on temperature to find TROWALs - you may need
to look at theta-e as well. The metars show moderate snow associated
with the cloud band (not many stations, however). The temperature
deformation occurs in the region of strong cyclonic thermal vorticity
advection by the thermal wind, as suggested by theory. One other thing
that is especially noteworthy here: Look how fast the nice "S"-shape
develops in the isotherms.
Page 63
: Summary of TROWALs and their associated features. Note that adelineating where a TROWAL is gives you a BIG clue of where the heavy
snow/rain is going to fall, especially if there is also frontogenesis
occurring.
Page 64
: TROWALS on the web. This is a website from Canada. Note theTROWAL marked over the NY/PA border. However, the isobaric charts
thermal analysis did not support this feature, so I'm not sure why it's
been put there.
Page 65
: Your authors thank you for your attention.