downscaling** a reanalysis for july 1996 big freeze in ...€¦ · last mod. 8 apr. 2015....
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Downscaling** a reanalysis for July 1996 "Big Freeze" in Southern NZ
2200 km*
* Sydney to Auckland
**with NOAA/NWS Sci. & Training Resource Center (STRC) "Environmental Modeling System" (EMS): WRF-ARW core
eas372_downscaling_BigFreeze.odpJDW, EAS UAlbertaLast mod. 8 Apr. 2015
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Downscaling a reanalysis (NCEP II) for July 1996 "Big Freeze" in Southern NZ
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Downscaling a reanalysis (NCEP II) for July 1996 "Big Freeze" in Southern NZ
● Invercargill● Gore● Blaclutha
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Downscaling a reanalysis (200 km => 20 km), valid 06 NZST 4 July 1996
If cold air were draining off the high ground, where would it drain to?
Boundary of domain 2
67 x 67 km
Boundary of domain 3
20 x 20 km
∆x, ∆y ~ 200 m
boundary of outer domain (domain 1)200 x 200 km∆x, ∆y ~ 2 km
● Nested subdomains of successively finer resolution, finest spans 17 x 17 km● Reanalysis gives initial and b/conditions for domain 1 (i.e. coarsest domain, 200 x 200 km)
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Observations – daily minimum temperatures (normals blue)( Tap. – Tapanui, Bal. – Balclutha, Inv. – Invercargill )
● -9oC set Invercargill's record low temperature (1905 – 2012)
● two weeks of hard frosts
● trees and birds killed
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Nature of a “reanalysis” and comparison with NZMS "analyses" of the time
Otago Daily Times
NZMS “noon forecast”
1 July 1996 4 July
NCEP reanalysis II(2.5o resol'n)
● ingests all available data (radiosondes, satellite, surface, aircraft, ships...)
● gridded, nudged to satisfy eqn's of motion
compare
● Storm, ~ 10 cm snow
● followed by anticyclone
1008
L
H
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Tangent: an example of misfit of NCEP “reanalysis” vs. NZMS analysis
● 31 July 1975, 00Z ( = 12 NZST)
● NCEP 1 reanalysis 2.5o (∆ ~ 222 km)
NZMS analysis shows lee trough and strong pressure fall across the Southern Alps (which define the west coast of the South Island)
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12h downscaling forecast valid 00Z 31 July initialized by NCEP reanalysis of of 12Z 30 July
● WRFEMS outer domain ∆ ~ 5 km
● MSLP "noisy" (numeric instability?) but the fine grid spacing, by resolving the interaction with mountainous terrain, has (correctly) revealed the lee trough
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Mean deviation [m] of 700 hPa height, averaged 1-10 July 1996, from the 1981-2010 normal for July. At the centre of the anticyclone, 10-day mean heights exceed normal by more than 13.5 dam. The implied upper wind anomaly over southern New Zealand is an easterly. (NCEP re-analysis.)
Synoptic scale conditions associated with the Big Freeze
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Mean deviation of surface pressure, averaged 1-10 July 1996, from the 1981-2010 normal for July. At the centre of the anticyclone, 10-day mean pressures exceed normal by more than 15 hPa. Allowing for friction-induced cross-isobar flow, the implied surface wind anomaly over southern New Zealand is a south-easterly. ( NCEP re-analysis.)
Synoptic scale conditions associated with the Big Freeze
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Mean deviation of temperature on the 850 hPa surface, averaged 29 Jun-2 July 1996, from the 1981-2010 normal for July. ( NCEP re-analysis.)
Synoptic scale conditions associated with the Big Freeze
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Synoptic scale conditions associated with the Big Freeze – storm phase
850 hPa height contours (6 dam interval) and isotherms (2K interval) at 18 UTC June 30 (06 NZST July 1, 1996). NCEP Reanalysis.
● strong height & temperature gradients
● cold advection
18 UTC June 30, 1996
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850 hPa height contours (6 dam interval) and isotherms (2K interval) at 18 UTC July 3 (06 NZST July 4, 1996). NCEP Reanalysis.
● No height gradient (light winds)
Synoptic scale conditions associated with Big Freeze – anticyclone phase
18 UTC July 3, 1996
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Sea-level corrected surface pressure at 18 UTC July 3 (06 NZST July 4, 1996). NCEP Reanalysis.
Synoptic scale conditions associated with Big Freeze – anticyclone phase
18 UTC July 3, 1996
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WRF-EMS (Weather Research & Forecasting – Envir. Mdlg System)
● domain – regional● horizontal grid spacing – configurable● vertical grid – terrain following, grid spacing configurable
● non-hydrostatic
● as must all NWP models, "parameterizes" sub-grid-scale processes
● provision of initial and boundary conditions automated
● dynamics● parameterizations● coordinates● numerics● initialization
Zonal momentum equation (in Cartesian x,y,z coord. system)
∂U∂ t
+ U ∂U∂ x
+ V ∂U∂ y
+ W ∂U∂ z
=−1ρ
∂P∂ x
+ f V + F u
friction: influence of unresolved scalesnon-linearity
F u =−∂u ' u '∂ x
−∂v ' u '∂ y
−∂w ' u '
∂ z→ ∂
∂ z [K (z )∂U∂ z ]Friction – divergence of
unresolved momentum flux, parameterized as eddy diffusion
z
x
W+w'
U+u'
neglect
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including effects of unresolved (sub-grid scale) motion
*
*
that are parameterized
Thanks to Stephane Belair (Cdn Meteorol. Centre ) for permission to use this sketch
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http://strc.comet.ucar.edu/software/newrems/
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Downscaling NCEP II reanalysis to obtain high resolution (200 m) fields
Reanalysis 18 NZST 3 July
Reanalysis 00 NZST 4 July
initial and boundary conditions for: Domain 1 which covers 200 x 200 km with resolution 2 km
boundary conditions
Numerical integration, time step 10 s(referred to as “spinup”)
Downscaling was performed using “WRF-EMS” with the ARW core
Reanalysis provides init. & b/conds for Domain 1. Domain 1 fields supply boundary conditions for domain 2. Domain 2 fields supply boundary conditions for domain 3
Linearinterpolation
Fields on refined (nested) grids – resolution of finest grid 220 m
06 NZST 4 July
6 hours 6 hours
“Nested grids”
Downscaled fields valid at this time
(∆t = 10 sec)
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Configuration of WRF for 12 hr downscaling simulation – emphasis the ABL
● default shortwave and longwave radiation schemes
● convection & precip. schemes off (dry, stable, mid-winter, anticyclonic system)
● Yonsei Univ. (YSU) ABL scheme: a K-profile method,
● NOAA land surface model: soil temperature and moisture in four layers, fractional
snow cover, and frozen soil physics. Vegetation effects included. Predicts snow
cover and canopy moisture. Diagnoses skin temperature Tsfc
and uses emissivity.
Provides heat and moisture fluxes to the lowest model level (e.g. Ua, T
a , ...), using
the bulk transfer formulation
(coefficient α tuned to be consistent with Monin-Obukhov similarity theory)
● 59 σ levels, below . Lowest levels 8, 23, 38 m AGL.
K (z)=k v u* z
ϕ(z /L) [1−zδ ]
2
QH0=ρ c p α U a [T sfc−T a ]
Δσ=0.002 σ=0.966
( δ the ABL depth; K vanishes at z =0, δ )
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Wind (850 hPa) on domain 1 (2 km resolution) – 6 am 4 July 96
m s-1
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Wind (10 m AGL) on domain 1 (2 km resolution) – 6 am 4 July 96
Winds draining cold, dense air down Clutha River valley to coast
Coastal convergence zone
m s-1
Blue Mountains
Kaihiku Range
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Wind (10 m AGL) on domain 2 (660 m resolution) – 6 am 4 July 96
Clutha River
Downslope winds less well developed if vertical resolution poor
m s-1
Kaihiku Range
Blue Mountains
Downslope winds off Blue Mountains and other terrain
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Wind (10 m AGL) on domain 3 (220 m resolution) – 6 am 4 July 96
m s-1
Stony Pk
Wairuna Pk
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Profiles of the up/downslope wind component on a transect down Stony Pk
Shallow cold air drainage layer, overtopped by an upslope layer.
Winter, snow cover; day by day ponding of cold air would continue?
2.2 kilometers
Stony Peak
u ∂u∂ x
=−1ρ0
∂ p∂ x
+ θθ0
g sin α −∂u ' w '
∂ z
α
Key terms in alongslope momentum budget, assuming steady state:
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Potential temperature (2 m AGL) on domain 3 (220 m) – 6 am 4 July 96
-4 to -4.5oC
Colder air ponding in the valley
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H. Taylor (Strathearn) – lifelong interest in ecology, wrote "Dinkum Cold or Disbelief" about this "Big Freeze"
Conclusion ● WRF solution not grid-independent (NWP solutions rarely if ever are)
● finer resolution near ground accentuates drainage winds
● hydrostatic solutions similar
● if “driven” by alternative reanalyses (e.g. European ECMWF) outcome similar
● meteorology of this event not odd – severity of cold was rare (on 100 year time scale) but can be expected to recur
JDW hang gliding at Strathearn 1974