A more detailed and quantitative consideration of organized convection: Part I Cold pool dynamics and the formation of squall lines

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A more detailed and quantitative consideration of organized convection: Part I Cold pool dynamics and the formation of squall lines Note: Lecture notes presented here based on course Daily Weather Laboratory II taught by Prof. Richard Johnson, Colorado State University, Department of Atmospheric Science

Rotunno, Klemp, and Wilhelmson (RKW) Theory: The visual picture

Vorticity from wind components in x-z plane Expand total derivative

RKW Theory Cold pool on lower left side of the domain Vorticity tendency = Net advection of vorticity from sides + difference in buoyancy

Simplifying assumptions Vertical velocity zero at top Zonal wind zero on lower left No shear on right side (u=0) Result: zonal wind at the upper boundary travels at the speed of a gravity current due to presence of the cold pool

Simplifying assumptions Vertical velocity zero at top Zonal wind zero on lower left No shear on right side Result: zonal wind at the upper boundary travels at the speed of a gravity current due to presence of the cold pool

Vertical velocity zero at top Zonal wind zero on lower left Add zonal shear to this side OPTIMAL CONVECTIVE STATE = No inhibition of a vertically upright updraft by cold pool or shear.

Further development with the trailing stratiform region The upshear tilting of the updraft by a large cold pool causes the formation of a rear low level jet. This feature helps maintain the squall line, as it helps to oppose the cold pool horizontal vorticity.

Strengthening squall line Weakening squall line If the cold pool dynamics overwhelm the rear inflow jet, the squall line will tend to weaken.

Asymmetric leading line More common situation because of the influence of a varying Coriolis parameter. This will during the ascending inflow poleward and rear inflow jet equatorward. Common in cold fronts since that the synoptic scale where varying f would matter more. Watch out for supercells at the end of the line (more on that later ) Symmetric leading line If the convection occurs more on the mesocale, can possibly be more symmetric in shape because variation in f is less important. More common in mesoscale convective systems associated with bow echoes (derechos)

Idealized simulation of symmetric squall lines with convective-resolving model

A more detailed and quantitative consideration of organized convection: Part II Mesoscale convective systems

Bob Maddox s classic MCS definition

Climatological considerations for MCS development and maintenance Downstream of mountain barriers (e.g. Rockies or Andes) Vicinity of low-level jet, with strong low-level warm advection and deep moisture For central US, form ahead of a weak, midlevel trough. Inverted trough if you are in the Southwest. Maximum intensity usually occurs at night, when the low-level jet is strongest Can modify the large-scale environment in a significant way Mesohighs and mesolows Mesoscale convective vortices (MCVs) Unlike squall lines associated with mid-latitude cold fronts, MCS in the US tend to form around the periphery of an upper-level high in mid to late summer (when North American monsoon occurs). Strong monsoon convection in Arizona are typically caused by eastward propagating MCSs.

Ring of Fire Pattern on enhanced IR imagery: 22 July 2010

Climatology of MCSs in the Americas

Idealized structure of a mature mesoscale convective system Houze (1993)

Generation of PV within a MCS Heating = latent heat release by condensation Cooling = evaporation of condensate Convective core: Strong convective heating located in mid-troposphere. But PV anomalies above and below the heating are of too small of spatial scale to be geostrophically balanced and dissipate. Stratiform area: Heating anomaly is shifted upward and cooling occurs in the lower troposphere due to evaporative cooling. Leads to generation of a +PV anomaly in the mid-troposphere that may be of sufficient scale to be geostrophically balanced and form a mesoscale convective vortex (MCV).

Mesovortex formation with decay of MCS convection

Propagation and regeneration of MCS convection (Carbone et al. 2002, JAS)

For most MCS-generated convection in late summer in eastern 2/3 of the U.S., the ultimate generation point for theses systems is the diurnally-forced convection on the Rocky Mountains. They then propagate east around the periphery of the monsoon ridge. Ditto for organized monsoon convection in Arizona, except it propagates west.

MCS feedbacks to synoptic-scale and global scale Impact on synoptic-scale flow: Generation of mesovortices and upper-air anticyclones Convective transports of heat, momentum and moisture. Very important in tropics (as discussed in Liz Ritchie s class). Upper-level cloud shields affect radiation budget Affect tropopause structure and properties of the lower stratosphere (e.g. gravity waves associated with squall lines) Horizontal and vertical transport of aerosols and chemical species.

MCS feedbacks to synoptic-scale and global scale Impact on synoptic-scale flow: Generation of mesovortices and upper-air anticyclones Convective transports of heat, momentum and moisture. Very important in tropics (as discussed in Liz Ritchie s class). Upper-level cloud shields affect radiation budget Affect tropopause structure and properties of the lower stratosphere (e.g. gravity waves associated with squall lines) Horizontal and vertical transport of aerosols and chemical species. GIVEN ALL THOSE REALLY IMPORTANT FEEDBACKS, THE BAD PART IS THAT YOU NEED A CONVECTIVE RESOLVING SCALE ON THE ORDER OF A KILOMETER GRIDSPACING. REPRESENT MCSs PROPERLY IN A FORECAST MODEL