Water vapor and <M.S.E.> budgets Brian Mapes RSMAS, - - PowerPoint PPT Presentation

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Water vapor and <M.S.E.> budgets Brian Mapes RSMAS, - - PowerPoint PPT Presentation

Mar 31, 2024 312 likes •580 views

Water vapor and <M.S.E.> budgets Brian Mapes RSMAS, University of Miami <latexit

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SLIDE 1

Water vapor and <M.S.E.> budgets

Brian Mapes RSMAS, University of Miami

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SLIDE 2

Moisture equation

∂q ∂t = ADVq − div(ω0q0) − C

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Molecular at surface Eddy flux above...

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SLIDE 3

MSE equation eliminates Cond.

L( ) +

∂q ∂t = ADVq − div(ω0q0) − C

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Cp ∂T ∂t = CpADVT − Cpdiv(ω0T 0 + Fr) + LC

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∂h ∂t = ADVh − div(ω0h0 + Fr)

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SLIDE 4

Vertical integral <> eliminates profile

∂ < h > ∂t =< ADVh > +Fs + Rnet

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0 =< ADVh > +Fs + Rnet

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Time averaging eliminates causality

slide-5
SLIDE 5

Now, let’s use it

  • to predict causes of rain belts (net Cond.) and

their contrasting profiles over land & sea!

  • Well, not quite absurd perhaps...
slide-6
SLIDE 6

Our funny enterprise

Concrete ... ... Abstract ... Parts Whole

Mathematical Laws of Physics Sim Conserved Quantities <h>, PV, GPV Meta-principles EFE~ITCZ, “balance requires...” etc. Wild-eyed climate storytelling

?

slide-7
SLIDE 7

Back to moisture – but wiser

Well measured by microwave! (over water)

< h0 >≈ L < q0 >

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Connects to a practically important but dynamically wooly field called hydrology...

slide-8
SLIDE 8

Let’s look at some data

  • Well measured à well analyzed
  • Use analyses (and GFS forecast, for fun)
slide-9
SLIDE 9

T @surface

slide-10
SLIDE 10

Topography >1500m

slide-11
SLIDE 11

V850

slide-12
SLIDE 12

<q>, steep color @50mm

slide-13
SLIDE 13

Deep convection tightly contained

slide-14
SLIDE 14

Z200 and ζ200

slide-15
SLIDE 15

Go!

slide-16
SLIDE 16

Americas sector

slide-17
SLIDE 17

Africa, September (green=rain)

slide-18
SLIDE 18

Americas, September (green=rain)

slide-19
SLIDE 19

What did we see?

  • <q> = <MSE> features travel 1000s of km
  • [u]<0 sweeps everything westward
  • Feedback: Asian monsoon u*v* à westward <[u]>

» Kelly and Mapes papers (2012-2014)

  • Features amazingly long-lived... maintenance?
slide-20
SLIDE 20

Aside: Kelly PhD: one sounding can index Tibetan High’s u*v*!

  • Feedback: Asian monsoon u*v* à westward <[u]>
slide-21
SLIDE 21

Free ReadCube viewing at http://rdcu.be/GpqN

slide-22
SLIDE 22

“Meteorological Moist Tropics”: a regime (mode of a PDF)

  • Margin is ~48mm

in current climate (globally)

– CWV/CWVsat ~75%, more fundamentally

  • Maintenance is
  • ccurring

– a distinct role for convection...

See my AMS talk about it at https://tinyurl.com/CWVmode

slide-23
SLIDE 23

AMS Meandering Margin talk

  • https://tinyurl.com/CWVmode
  • video and slides
slide-24
SLIDE 24

high-information Case Study tool

  • “Drill down”

– statsßà cases

  • Jupyter + IDV
  • From templates

unidata.github.io/drilsdown

slide-25
SLIDE 25