title goes here for lessonfebruary 2002 mesoscale convective systems book sources: markowski and...

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Title goes here for lesson February 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics, chapter 9 MCS comet modules: MCSs: squall lines and bow echoes (unnarrated, 1999) Severe convection II: MCSs (narrated, 2002) Tropical MCSs (unnarrated, 2013)

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Page 1: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

Title goes here for lesson February 2002

Mesoscale Convective Systems

book sources:Markowski and Richardson (2009), chapter 10

Houze 1993: Cloud Dynamics, chapter 9

MCS comet modules:MCSs: squall lines and bow echoes (unnarrated, 1999)

Severe convection II: MCSs (narrated, 2002)Tropical MCSs (unnarrated, 2013)

Page 2: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

Title goes here for lesson February 2002

Overview

Introduction to MCSs Squall lines

definition types synoptic setting importance of shear conceptual model of SL with stratiform region pressure perturbations origin of rear inflow jet

Bow echoes Tropical squall lines Mesoscale Convective Complexes

300 km

Page 3: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Introduction

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Definition Mesoscale convective systems (MCSs) refer

to all organized convective systems larger than ~50 km (long axis)

Some classic convective system types include: squall lines bow echoes line echo wave patterns

mesoscale convective complexes (MCCs) are large MCSs (Maddox 1980) definition is based on IR imagery: <241 K cloud shield at least 100,000 km2

<221 K cloud shield at least 50,000 km2

Eccentricity >0.7 Must last at least 6 hrs

Page 5: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Where and when

MCSs occur worldwide mainly in the warm season

MCC global distribution:

Laing and Fritsch (1993)

TRMM data

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Compare this to the distribution of hail and tornadoes …

Conclusion: in mid-latitudes the distribution is similar. MCSs and MCCs are surprisingly common in the tropics.

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US tornado tracks

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MCS examples

warm ocean MCS Dryline Squall line in Texas

Page 9: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCC examples

30 April 2004, 1:32 UTC

Page 10: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCS morphology

linear symmetric asymmetric

amorphous

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MCS morphology linear

TS LS PS

Fig. 9.11, adapted from Parker and Johnson (2000)

TS

PS

Page 12: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Upscale growth of convection towards a squall line is accelerated when the deep layer (surface to cloud top) mean shear is close to aligned to the boundary along which cells first initiate.

MCS morphology

Page 13: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCS morphology

squall lines can be continuous or cellular

Page 14: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Synoptic patterns

Favorable conditions conducive to severe MCSs and MCCs often occur with identifiable synoptic patterns

Synoptic forcing may be quite weak.

Temperature (C, dashed) and dewpoint (C, solid)

Page 15: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Squall Lines

Page 16: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Squall line definition A squall line is any line of

convective cells. 100-1000 km long

no strict size definition Usually trailed by stratiform

precip (TS)

Squall line animation 1 Squall line animation 2 (mov file)

Page 17: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Initial organization Squall lines may either be

triggered as a line along some boundary (e.g. dryline)

or organize into a line from an amorphous cluster of cells

Thus the majority of cases developed from pre-existing convergence lines

pre-existingconvergence line

pre-existingconvergence line

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Life cycle

Little is known about the initial and dissipating stages.

Mature structure is well known. It can be steady-state (long-lived MCS) or a brief transition

(Leary and Houze 1979)

Page 19: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Environmental factors Both CIN and CAPE impact MCS structure and evolution

low-levelshear

deepshear

Page 20: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Importance of shear For a given CAPE, the strength and longevity of an MCS

increases with increasing depth and strength of the low-level shear S0-3(between 0-3 km AGL)

For midlatitude environments, |S0-3| : weak |S0-3| <10 m/s moderate |S0-3| 10-18 m/s strong |S0-3| >18 m/s

A balance is needed between baroclinically generated hor. vorticity and ambient low-level hor. vorticity (RKW theory) Rotunno, R., J. B. Klemp, and M. L. Weisman, 1988: A Theory for

Strong, Long-Lived Squall Lines. J. Atmos. Sci., 45, 463–485.

To continue initiating convection, the cold pool needs to lift air above the LFC. The higher the LFC (drier air), the deeper the layer in which the RKW condition needs to be assessed deeper ambient shear deeper cold pool

Page 21: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Which low-level shear matters?

It is the component of low-levelvertical wind shear perpendicular to the line that is most critical for controlling squall line structure & evolution

Note that the initial line orientation is often due to convergence lines (fine lines) independent of LL shear

Page 22: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Impact of shear on longevity Short-lived squall lines tend to

form under weak LL shear

Long-lived squall lines have at least 10 m/s of line-normal wind shear in the lowest 3 km Severe squall lines have more

CAPE and/or shear than non-severe ones

Page 23: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Classic evolution with weak shear

The characteristic squall line life cycle is to evolve from a narrow band of intense convective cells to a broader, weaker system over time

Page 24: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Classic evolution with stronger shear

Stronger shear environments produce stronger long-lived lines composed of strong leading line convective cells and even bow echoes.

Page 25: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Later evolution in moderate-to-strong shear

Several bow echoes may formAsymmetry (if present) explained by the Coriolis force

Page 26: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Cold pool motion and shear

Squall lines often have their ‘own’, intrinsic propagation speed, which may be different from the deep-layer mean wind

This speed tends to be controlled by the speed of the system cold pool New cells are constantly triggered along its leading edge Speed is close to cold pool density current speed

In mid-latitudes an "average" gust front speed is ~15 m/s. Longevity of a squall line depends on its ability to “keep up” with

the gust front LL shear Du needs to match gust front speed c.

v

vghU

Page 27: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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RKW theory:ambient shear and MCS longevity

Page 28: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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low-level wind shear & updraft slope

note vertical aspect ratioheight is exaggerated by ~5

Page 29: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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wind shear & updraft slope

heig

ht

heig

ht

Buoyancy tilting (by shear) produces a larger downward BPPGA, and thus a weaker net upward acceleration

Page 30: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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RKW’s optimal state implies that LL shear Du = c

or Du = c for an erect updraft

Density current plowing into westerly shear (RKW’s optimal state)

𝑑𝜂𝑑𝑡

=−𝜕𝐵𝜕 𝑥

The integration of

along the control volume gives:

The vertical vorticity flux, integrated along the top of the control box, cancels only under RKW’s optimal state

𝑢𝑅 , 0❑

❑2 = (Δ𝑢)2=2∫

0

𝐻

𝐵𝐿𝑑𝑧=𝑐2

Judiciously choose control volume such that u=0 at z=d . Then

S

Page 31: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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LL shear Du vs. c, and storm evolution

Squall lines may move thru the optimal state over time. c tends to increase as cold pool deepens / strengthens

Page 32: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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The RKW theory for squall line maintenance is not without controversy …

Fig. 9.20: the cold pool strength usually exceeds the low level (0-3 km) shear.

Page 33: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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deep shear may matter as well

cold

Page 34: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Squall line motion

squall lines sometimes re-orient normal to the low-level shear

Page 35: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Conceptual model of the mature stage of a symmetric squall line

(textbook Fig 9.7, adapted from Houze et al. 1989)

Page 36: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Conceptual model of the mature stage of a symmetric squall line

(textbook Fig 9.7, adapted from Houze et al. 1989)Fig. 9.8

Page 37: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Conceptual model of the mature stage of a symmetric squall line

LL conv

UL divFig. 9.3model output(Rotunno et al. 1988)

Page 38: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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LL shear

deep shear

deep shearH Lupdraft wSpD

2'2

Page 39: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Trailing stratiform region

sustained by a mesoscale updraft above the freezing level this updraft probably is buoyancy-driven.

buoyancy is due to latent heating (condensation/freezing)

Page 40: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Surface pressure fields

+3 mb

-3 mb

interpret mesohigh and wake low hydrostatically

weaker shear

stronger shear

Page 41: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Vertical cross section of reflectivity and pressure perturbations

mature stage pressure perturbations

low under convective towers, near LFC, dominates

due to buoyancy source

Page 42: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Observed pressure perturbations

low near LFC due to buoyancy source

(base of CAPE layer) hydrostatic high below

plus stagnation point high ahead of gust front

S

E W

LeMone and Tarleton 1986, JtechLeMone et al 1987, Mon Wea Rev

Page 43: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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The Rear-Inflow Jet (RIJ)

down-gradientsubsident, evaporatively-cooledmay join gust front feeder flow

Page 44: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Buoyancy distribution, the trailing stratiform region, and the rear-inflow jet

The convective line is positively buoyant from the LFC to the LNB

This B+ spreads into the TSR

Decreasing B+ towards the rear implies a decreasing B-induced low below the B+

This implies a horizontal PGF towards the convective line

This drives the rear inflow jet (RIJ)

Page 45: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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The RIJ is stronger in more unstable environments

More CAPE implies more B in convective line stronger B-induced low at its base stronger PGF stronger RIJ possible straight-line wind damage & bow-echo formation

Updraft should be more erect!!

Fig. 9.22

Page 46: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Bow Echoes

Page 47: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Bow echo definition

Bow echoes are relatively small (20-120 km long), bow-shaped systems of convective cells noted for producing long swaths of damaging surface winds.

bow echoes

Page 48: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Bow echo environments

deep shear:

Bow echo and supercell

shallow shear:

bow echo only

red line: downburst winds

Page 49: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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evolution of a bow echo

S

towards a balance between ambient, RIJ, and cold pool vorticities

Page 50: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Bow echo evolution

Page 51: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Reasons for bow echoes intensity

Rear-inflow jet connects to gust front feeder flow

Page 52: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Bow echoes and supercells Bow echoes represent

mesoscale organization, supercells are individual storms.

Both require strong shear.

Supercells within squall lines tend to become bow echoes, but cells at the ends of lines can remain super-cellular for long periods of time.

Page 53: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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mature bow echo: RIJ

Fig. 9.25

Page 54: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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mature bow echo: hook echo

Fig. 9.26 Fig. 9.26: simulated vortex lines around the RIJ

RIJ

3 km DD winds(NOAA + NRL P-3)

BAMEX – Bow Echo and MCV experiment

Page 55: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Rear-inflow notch

The reflectivity notch, if sustained or growing, is an indication of a strong RIJ and possible damaging straight-line surface winds.

Page 56: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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The MARC signature

MARC: Mid-altitude radial convergence(applied to the radial that is normal to the squall line)

rear-inflownotch

Page 57: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MARC characteristics:

MARCs are locally enhanced convergent areas (velocity differentials), embedded within a larger region of convergence extending from 60 to 120 km in length

width: 2-6 km

height: mid-levels (~5 km AGL)

depth: 3-9 km

magnitude: ~25-30 m/s

Page 58: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Derechoes: definition

If the cumulative impact of the severe wind from one or more bow echoes covers a wide enough and long enough path, the event is referred to as a derecho.

To be classified as a derecho, a single convective system must produce wind damage or

gusts greater than 26 m/s within a concentrated area with a major axis length of at least 400 km.

The severe wind reports must exhibit a chronological progression and there must be at least 3 reports of F1 damage and/or convective wind gusts of 33 m/s (65 kts) or greater separated by at least 64 km.

Additionally, no more than 3 hours can elapse between successive wind damage or gust events.

Page 59: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Derechoes cont’d

A progressive derecho is a single bow-shaped system that typically propagates north of and parallel to a weak stationary boundary

Serial derechos are most commonly a series of bow-echoes along a squall line (usually located within the warm sector of a cyclone)

Page 60: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCCs

Page 61: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCC Definition

A mesoscale convective complex is defined via IR satellite imagery (Maddox 1980).

<241 K (-32°C) cloud shield at least 100,000 km2

<221 K (-52°C) cloud shield at least 50,000 km2

Eccentricity >0.7 Must last at least 6 hrs

Page 62: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Mesoscale convective vortices form in some MCSs

Page 63: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCCs may form mid-to-UL cyclonic vortices

1. These vortices may be large relative to LR (Rossby radius of deformation)

2. Mechanism the same as that for tropical cyclogenesis

3. Can be explained in terms of PV creation due to latent heating

7 July 198211:30 UTC

7 July 198216:30 UTC

source: Fritsch et al 1994

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1. Squall line bows out, stratiform region increases in size.

2. Mesoscale Cyclonic Vortex (MCV) may develop (due to f)

Odten long-lived squall lines in moderate-to-strong shear eventually become asymmetric, with an MCV

Page 65: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCV creation due to diabatic PV generation define IPV

consider diabatic heating and cooling profiles in sustained deep convection

infer isentrope distortions and PV anomalies

p

fgP )(

Page 66: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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MCV creation due to diabatic PV generation define IPV

consider diabatic heating and cooling profiles in sustained mesoscale deep convection

infer isentrope distortions and PV anomalies

source: Fritsch et al 1994

p

fgP )(

SW NE

Page 67: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Tropical squall lines

Page 68: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Tropical squall lines

Overall, squall lines in the tropics are structurally similar to midlatitude squall lines. Notable differences include:

develop in lower shear, lower LFC, less-CAPE environments taller convective cells system cold pools are generally weaker less of a tendency toward asymmetric evolution AND most tropical squall lines move from east to west

Page 69: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Tropical Squall Lines

example: Arizona monsoon

Page 70: Title goes here for lessonFebruary 2002 Mesoscale Convective Systems book sources: Markowski and Richardson (2009), chapter 10 Houze 1993: Cloud Dynamics,

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Typical evolution of tropical squall lines

Examine divergence, B and pB at three stages: Convective stage Intermediary stage Stratiform stage

Houze’s book

con div

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Summary MCS structure and evolution depend on the characteristics of

the environmental buoyancy and shear, as well as the details of the initial forcing mechanism.

The strength and the degree of organization of most MCSs increases with increasing low-level vertical wind shear values.

MCS evolution and motion is heavily controlled by the cold pool. MCS longevity depends on the interaction between cold pool (c)

and low-level vertical wind shear (Du). Deeper shear may be important as well.

The Coriolis effect significantly impacts long-lived MCSs (> 4 hrs).

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References

Fritsch, J. M., Murphy, J. D., Kain, J. S.. 1994: Warm Core Vortex Amplification over Land. J. Atmos. Sci., 51, 1780–1807.

Hilgendorf, E.R. and R.H. Johnson, 1998: A study of the evolution of mesoscale convective systems using WSR-88D data. Wea. Forecasting, 13, 437-452.

Houze, R.A., 1977: Structure and Dynamics of a Tropical Squall-Line System. Mon. Wea. Rev., 105, 1540-1567.

Johns, R.H., 1993: Meteorological conditions associated with bow echo development in convective storms. Wea. Forecasting, 8, 294-299.

Johnson, R.H., and P.J. Hamilton, 1988: The relationship of surface pressure features to the precipitation and airflow structure of an intense midlatitude squall line. Mon. Wea. Rev., 116, 1444-1472.

Maddox, R. A., 1983: Large-Scale Meteorological Conditions Associated with Midlatitude, Mesoscale Convective Complexes. Mon. Wea. Rev., 111, 1475-1493.

Przybylinski, R.W., 1995: The bow echo: Observations, numerical simulations, and severe weather detection methods. Wea. Forecasting, 10, 203-218.