An integral approach to modeling PBL transports …...PBL transports and clouds 11-2006 Martin...

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PBL transports and clouds 11-2006 Martin Köhler 1 An integral approach to modeling PBL transports and clouds Martin Köhler and Roel Neggers EDMF @ ECMWF now and future dry PBL – stratocumulus shallow cumulus stratocumulus: evaluation against observations EPIC marine stratus field experiment GLAS cloud and cloud top height ongoing work – down-drafts (short-hand for draughts) shallow cumulus (Roel)

Transcript of An integral approach to modeling PBL transports …...PBL transports and clouds 11-2006 Martin...

Page 1: An integral approach to modeling PBL transports …...PBL transports and clouds 11-2006 Martin Köhler 1 An integral approach to modeling PBL transports and clouds Martin Köhler and

PBL transports and clouds 11-2006 Martin Köhler 1

An integral approach to modeling PBL transports and cloudsMartin Köhler and Roel Neggers

• EDMF @ ECMWF now and future– dry PBL– stratocumulus– shallow cumulus

• stratocumulus: evaluation against observations– EPIC marine stratus field experiment– GLAS cloud and cloud top height

• ongoing work– down-drafts (short-hand for draughts)– shallow cumulus (Roel)

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PBL transports and clouds 11-2006 Martin Köhler 2

GCSS Pacific Cross-Section Intercomparison Project

pres

sure

[hPa

]

100200300400500600700800900

1000

pres

sure

[hPa

]

100200300400500600700800900

1000

GFLD AM2 NCAR CAM3 NCEP

HadGAM ARPEGE ECMWF ERA-40

liquid water [g/kg]

0.30.150.080.040.030.020.010

JJA1998Joao Teixeira

EquatorDateline

California EquatorDateline

California EquatorDateline

California EquatorDateline

California

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PBL transports and clouds 11-2006 Martin Köhler 3

Integral appraoch to PBL transports: EDMF

M1M

K

M2

Shallow cumulus Deep cumulusStratocumulusdry BL

zcb

zi

zi

KbotM

Ktop

KbotKbot

operational

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PBL transports and clouds 11-2006 Martin Köhler 4

EDMF: two box M/K decomposition(Siebesma and Cuijpers, 1995)

u

uuu φφφ +′=e

eee φφφ +′=

e

e

u

u aa φφφ )1( −+=

a

)()1( φφφφφ −+′′−+′′=′′ uu

e

e

u

u wawawaw

M

M-fluxenv. fluxsub-core flux

zK∂∂

−φ

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PBL transports and clouds 11-2006 Martin Köhler 5

A statistical mass flux framework for organized eddies

PDF

Top % of updrafts that are explicitly modelled

K diffusion

{w, θl , qt}

( )' ' φφ φ φ∂= − + −

∂ uw K Mz

dry PBL

Dry updraft

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PBL transports and clouds 11-2006 Martin Köhler 6

A statistical mass flux framework for organized eddies

PDF

Top % of updrafts that are explicitly modelled

K diffusion

{w, θl , qt}

( )' ' φφ φ φ∂= − + −

∂ uw K Mz

Stratocumulus UP

Cloudy updraft

Page 7: An integral approach to modeling PBL transports …...PBL transports and clouds 11-2006 Martin Köhler 1 An integral approach to modeling PBL transports and clouds Martin Köhler and

PBL transports and clouds 11-2006 Martin Köhler 7

A statistical mass flux framework for organized eddies

PDF

Cloudy updraft

Top % of updrafts that are explicitly modelled

K diffusionCloudy downdraft

{w, θl ,+/-qt}

( ),' ' φφ φ φ∂= − + −

∂ ∑ i u ii

w K Mz

Stratocumulus UP / DOWN

Bottom % of downdrafts that are explicitly modelled

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PBL transports and clouds 11-2006 Martin Köhler 8

A statistical mass flux framework for organized eddies

PDF

Dry updraft

Cloudy updraft

Top % of updrafts that are explicitly modelled

K diffusion

{w, θl , qt}

( ),' ' φφ φ φ∂= − + −

∂ ∑ i u ii

w K Mz

Shallow Convection

Roel Neggers

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PBL transports and clouds 11-2006 Martin Köhler 9

Stratocumulus UP: EPIC column from 3D forecasts

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ECMWF vs GLAS cloud fraction

ECMWF

GLASres: 76m

Maike AhlgrimmITCZ off ChileARM

SGP

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PBL transports and clouds 11-2006 Martin Köhler 11

ECMWF vs GLAS cloud top height

SC top too low!

GLAS observations Sc topGLAS # of samples CC>80%

ECMWF Sc top (and base)ECMWF # of samples CC>80%

cloud top < 2km Maike Ahlgrimm

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stratocumulus organized eddies: DYCOMS-II LES simulation

up-draft

vertical velocity & cloudBjorn Stevens (dx=35m, dz=5m)

down-draft

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PBL transports and clouds 11-2006 Martin Köhler 13

stratocumulus down-drafts: scaling arguments

3x zx

up

L L 10 su w

τ ∼ ∼ ∼

IRx

p entr

RT 1Kc z

τρ Δ

∼ ∼IR cooling:

parcel time scale:

mixing & IR cooling

zLupw downw

xL

1/3top*top

v iv

gw w ' ' z 1m / sθθ⎛ ⎞

= ⎜ ⎟⎝ ⎠

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ΔT~0.5K

LES DYCOMS-II: mixing line scatterplot of qt and θl

Steve Krueger, LES, dz=6m

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CLW [g/kg]

LES DYCOMS-II: entrainment properties

w [m

/s]

Steve Krueger, LES, dz=6m

PBL air free troposphere air

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SCM DYCOMS-II: up- and down-drafts

0.6

0.4

0.2

CLW

[g/k

g]

Time [days]

Hei

ght [

m]

Cloud Boundaries

Cloud top

Cloud base DOWN

Cloud base UP

0.5

0.4

0.1

Time [days]

Hei

ght [

m]

Cloud Liquid Water

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EDMF @ ECMWF

• dry PBL• stratocumulus

– updraft– downdraft

• momentum• plume solution• shallow convection

– dual M– dual cloud

Roel

Martin

( )' ' φφ φ φ∂= − + −

∂ ∑ i uii

w K Mz