Title: Tornadogenesis within a Simulated Supercell Storm
 1Tornadogenesis within a Simulated Supercell 
Storm
- Ming Xue 
 - School of Meteorology and 
 - Center for Analysis and Prediction of Storms 
 - University of Oklahoma 
 - mxue_at_ou.edu 
 - Acknowledgement NSF, FAA and PSC
 
22nd Severe Local Storms Conference 6 October 2004 
 2Why Numerical Simulations?
- Observational data lack necessary temporal and 
spatial resolutions and coverage  - Observed variables limit to very few 
 - VORTEX II trying to change all these (?)
 
  3Theory of Mid-level Rotation- responsible for 
mid-level mesocyclone 
 4Tilting of Storm-relative Streamwise 
Environmental Vorticity into Vertical 
 5Theories of Low-level Rotation 
 6Baroclinic Generation of Horizontal Vorticity 
Along Gust Front Tilted into Vertical and 
Stretched (Klemp and Rotunno 1983) 
 7Downward Transport of Mid-level Mesocyclone 
Angular Momentum by Rainy Downdraft (Davis-Jones 
2001, 2002)
vorticity carried by downdraft parcel
baroclinic generation around cold, water loaded 
downdraft
cross-stream vort. generation by sfc friction 
 8Past Simulation Studies
- Representative work by several groups 
 - Klemp and Rotunno (1983), Rotunno and Klemp 
(1985)  - Wicker and Wilhelmson (1995) 
 - Grasso and Cotton (1995) 
 - Adlerman, Droegemeier, and Davies-Jones (1999) 
 - All used locally refined grids
 
  9Current Simulation Study
- Single uniform resolution grid (50x50km) 
covering the entire system of supercell storms  - Up to 25 m horizontal and 20 m vertical 
resolution  - Most intense tornado ever simulated (Vgt120m/s) 
within a realistic convective storm  - Entire life cycle of tornado captured 
 - Internal structure as well as indications of 
suction vortices obtained  
  1025 m (LES) simulation
- Using ARPS model 
 - 1977 Del City, OK sounding (3300 J/kg CAPE) 
 - 2000 x 2000 x 83 grid points 
 - dx  50m and 25m, dzmin  20m, dt0.125s. 
 - Warmrain microphysics with surface friction 
 - Simulations up to 5 hours 
 - Using 2048 Alpha Processors at Pittsburgh 
Supercomputing Center  - 15TB of 16-bit compressed data generated by one 
25m simulation over 30 minutes, output at 1 s 
intervals 
  11Sounding for May 20, 1977 Del City, Oklahoma 
tornadic supercell storm 
CAPE3300 J/kg 
 12Storm-relative Hodograph 
 1350m simulation shown in full 50x50 km domain 
 14Full Domain Surface Fields of 50m simulation
t3h 44m Red  positive vertical vorticity 
 15 25 m simulation surface fields shown in 
subdomains  
 16Near surface vorticity, wind, reflectivity, and 
temperature perturbation
2 x 2 km
Vort  2 s-1 
 17Low-level reflectivity and streamlines of 25 m 
simulation 
 1850m Movie(30min  4h 30min) 
 1925m Movie(over 20 min) 
 20Maximum surface wind speed and minimum 
perturbation pressure of 25m simulation
120m/s
gt80mb pressure drop
50m/s in 1min
120m/s max surface winds
-80mb
time 
 21Pressure time series in vicinity of Allison TX 
F-4 Tornado on 8 June 1995 (Winn et al 1999)
910mb
gt50mb pressure drop
850mb 
 22Lee etc (2004) 22nd SLS Conf. CDROM 15.3 100mb 
 pressure drop 
 23Iso-surfaces of cloud water (qc  0.3 g kg-1, 
gray) and vertical vorticity (z0.25 s-1, red), 
and streamlines (orange) at about 2 km level of a 
50m simulation 
 24Time-dependent Trajectories 
 253km
t13250s beginning of vortex intensification
View from South 
 263km
t13250s beginning of vortex intensification
N
View from SW 
 27Trajectory Animations 
 283km
View from Northeast 
 29(No Transcript) 
 30Brownings Conceptual Model of Supercell Storm 
 31Diagnostics along Trajectories 
 32Orange portion t13250-500s  13250200s
14km
t13250s Beginning of low-level spinup 
 338km
X Y Z
W Vh
Streamwise Vort. Cross-stream Vort. Horizontal 
Vort.
Vertical Vort. Total Vort.
13450
13250
12750 
 342 m s-2
Force along trajectory
5
Buoyancy Vert. Pgrad Sum of the two
b' due to -p'
-5
Perturbation pressure
-76mb
13250 
 35Orange portion t13250-500s  13250200s
14km
rapid parcel rise
t13250s Beginning of low-level spinup 
 368km
X Y Z
W Vh
Streamwise Vort. Cross-stream Vort. Horizontal 
Vort.
Vertical Vort. Total Vort.
13450
13250
12750 
 373 m s-2
Force along trajectory
Buoyancy Vert. Pgrad Sum of the two
5
-5
Perturbation pressure
-76mb
13250 
 38Conclusions
- F5 intensity tornado formed behind the gust 
front, within the cold pool.  - Air parcels feeding the tornado all originated 
from the warm sector in a layer of about 2 km 
deep.  - The low-level parcels pass over the forward-flank 
gust front of 1st or 2nd supercell, descended to 
ground level and flowed along the ground inside 
the cold pool towards the convergence center  - The parcels gain streamwise vorticity through 
stretching and baroclinic vorticity generation 
(quantitative calculations to be completed) 
before turning sharply into the vertical  
  39Conclusions
- Intensification of mid-level mesocyclone lowers 
mid-level pressure  - Vertical PGF draws initially negatively buoyant 
low-level air into the tornado vortex but the 
buoyancy turns positive as pressure drops  - Intense vertical stretching follows ? 
intensification of low-level tornado vortex ? 
genesis of a tornado 
  40Conclusions (less certain at this time)
- Baroclinic generation of horizontal vorticity 
along gust front does not seem to have played a 
key role (in this case at least)  - Downward transport of vertical vorticity 
associated with mid-level mesocyclone does not 
seem to be a key process either (need 
confirmation by e.g., vorticity budget 
calculations)  
  41Many Issues Remain
- Exact processes for changes in vorticity 
components along trajectories  - Treatment and effects of surface friction and SGS 
turbulence near the surface  - Do many tornadoes form inside cold pool? 
 - Microphysics, including ice processes 
 - Intensification and non-intensification of 
low-level rotation?  - Role of 1st storm in this case 
 - etc etc etc. 
 
  42Movie of Cloud Water Field25 m, 7.5x7.5km 
domain, 30 minutes 
 43Questions / Comments?