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MotivationsWhat is Superparameterization (SP)?Superparameterized GCM is a type of GCM that the conventional cloud parameterizations are replaced by cloud resolving models (CRMs) in order to reduce uncertainties from those statistical subgrid schemes.
How do GCM and CRM communicate in SP?The current SP scaffold allows GCM and CRM to communicate only at each GCM time step. Sale coupling frequency between GCM and CRM increases with decreasing GCM time step.
Scale coupling frequency (fscale) is an important parameter that controls GCM − CRM communication frequency, but its effect is hardly knownBetter understanding on fscale would tell us its potential as a tuning parameter and provide useful insight for future SP model development.
So, we explored the effect of fscale in a SPGCM! Our major findings include:
1. fscale monotonically impacts climate. With a higher fscale,• Shortwave and longwave cloud forcing biases lessen.• Tropical rainfall extreme becomes more frequent.
2. Convective organization changes with fscale, and it seems to be the main cause of the climate sensitivities.
Convection becomes bottom-heavy ➣ fscale appears to affect the net
updraft mass flux profile of convection rather than simply boosting mass flux at all level, promoting more bottom-heavy convection with a high fscale.
Shortwave and Longwave cloud forcing biases decreases
Effects of Scale Coupling Frequency on Convective Organization in the Superparameterized CAM 3.0Sungduk Yu ([email protected]) and Mike Pritchard, Department of Earth System Science, University of California, Irvine, CA
Cloud physics isolated within a GCM box for 𝜏 < 1/fscale
Multiple CRMs feeding back with GCM dynamics for 𝜏 > 1/fscale
CRM grids embedded withina single GCM grid box
GCM grids
[Illustration: UCAR]
MethodsSPCAM Version: 3.0 CRM setup: 1x8 columns with 4km horizontal grid size Control simulation: dtime (GCM timestep, ~ 1/fscale) = 1800 [s]Experiment simulation: dtime = 600, 900, 3600 [s]Simulation length: 10 years with 4 months of spin-upBoundary conditions: prescribed monthly SST
Poster#A51F-0133
1. fscale monotonically impacts simulated climate
deg N-60 -45 -30 -15 0 15 30 45 60
W/m
2
-100
-50
0
50
dtime600dtime900dtime1800dtime3600CERES-EBAFShortwave cloud forcing
Longwave cloud forcing
Net
(Direction of arrow is from low to high fscale)
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-47.2 -23.6 0 23.6 47.2
i) control (dtime1800)
0 87 174 261.1 348.1
b) Liquid water path [g/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-20.5 -10.3 0 10.3 20.5
i) control (dtime1800)
-172.9 -129.7 -86.5 -43.3 -0
a) Shortwave cloud forcing [W/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-47.2 -23.6 0 23.6 47.2
i) control (dtime1800)
0 87 174 261.1 348.1
b) Liquid water path [g/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-20.5 -10.3 0 10.3 20.5
i) control (dtime1800)
-172.9 -129.7 -86.5 -43.3 -0
a) Shortwave cloud forcing [W/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-10 -5 0 5 10
i) control (dtime1800)
-2.1 16.8 35.7 54.6 73.5
a) Longwave cloud forcing [W/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-23.6 -11.8 0 11.8 23.6
i) control (dtime1800)
2 35.6 69.2 102.8 136.5
b) Ice water path [g/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-10 -5 0 5 10
i) control (dtime1800)
-2.1 16.8 35.7 54.6 73.5
a) Longwave cloud forcing [W/m2]
ii) dtime600 - control
iii) dtime900 - control
iv) dtime3600 - control
-23.6 -11.8 0 11.8 23.6
i) control (dtime1800)
2 35.6 69.2 102.8 136.5
b) Ice water path [g/m2]SWCF [W/m2] Cloud water [g/m2] LWCF [W/m2] Cloud ice [g/m2]
Zonal-Mean mean cloud forcing
➣ Liquid clouds systematically become less dense and less bright as fscale increases.
➣ High clouds reduce with fscale but this response is weaker and more complex.
2. Convective organization changes seem to cause the fscale sensitivity
kg/m 2 /s #10 -40 5 10 15
hPa
100
200
300
400
500
600
700
800
900
1000
a) This study
dtime600dtime900dtime1800dtime3600
kg/m 2 /s #10 -30 1 2 3 4
hPa
100
200
300
400
500
600
700
800
900
1000
b) PBD14
32x116x18x1
GMS decreases in active convection areas
➣ GMS (following Raymond et al. 2009, JAMES) decreases with fscale in convective regions, as expect from more bottom heavy convection.
➣ Reduced GMS enhances net precipitation efficiency to a given diabetic forcing and may link to the rain distribution shift toward extreme and possibly to cloud water and ice.
dtime (s)600
9001800
3600
GM
S
0.4
0.6
0.8e) Regional mean GMS
AB
deg
N
-20
0
20
AB
a) control (dtime1800)
-2 -1 0 1 2
deg
N
-20
0
20
AB
b) dtime600 - control
deg
N
-20
0
20
AB
c) dtime900 - control
deg E0 100 200 300
deg
N
-20
0
20
AB
d) dtime3600 - control
-0.2 -0.1 0 0.1 0.2dtime (s)
600900
18003600
GM
S
0.4
0.6
0.8e) Regional mean GMS
AB
deg
N
-20
0
20
AB
a) control (dtime1800)
-2 -1 0 1 2
deg
N
-20
0
20
AB
b) dtime600 - control
deg
N
-20
0
20
AB
c) dtime900 - control
deg E0 100 200 300
deg
N
-20
0
20
AB
d) dtime3600 - control
-0.2 -0.1 0 0.1 0.2
Convective organization hypothesis
It seems possible to explain a broad set of simulated climate responses to fscale as the result of an overarching change in convective organization favoring more bottom-heavy convection, reduced gross moist stability, and ultimately enhanced precipitation efficiency at a high fscale. In addition, the systematic responses of cloud water and ice—accordingly, SWCF and LWCF—could be viewed as stemming from changes in precipitation efficiency.
3. Weak-temperature-gradient conforms better with a high fscale
Better WTG conformity with high fscale
➣ Increasing fscale reduces T300′ such that SPCAM3’s behavior becomes more WTG-like.
Frequent dynamical adjustment toT anomalies helps WTG conformity
➣ Local convection confined in an embedded CRM can build up to produce larger thermal anomalies.
➣ These local heat anomalies (e.g., T′>0) are then spread to adjacent GCM grid columns via dynamical adjustment.
➣ In SPGCMs, dynamical adjustment is limited by fscale, indicating a high fscale can reduce T′.
a) dtime600
-0.4-0.3-0.2-0.100.1
hPa
100
300
500
700
900
b) dtime900
-0.4-0.3-0.2-0.100.1
hPa
100
300
500
700
900
c) dtime1800
-0.4-0.3-0.2-0.100.1
hPa
100
300
500
700
900
d) dtime3600
!500 (Pa/s)-0.4-0.3-0.2-0.100.1
hPa
100
300
500
700
900
K-1.2 -0.8 -0.4 0 0.4 0.8 1.2
[Left] Daily horizontal-mean anomalies of temperature from its horizontal field at 300 hPa (T300′) across vertical velocity at 500 hPa (ω500) in equatorial region (5°S–5°N). [Right] Relative frequency of vertical velocity at 500 hPa.
Large waves dominates T anomalies
➣ Planetary-scale disturbances, i.e., small zonal wavenumbers, dominate the sensitivity to fscale of the covariance between T′ and ω.
zonal wavenumber, k1 4 8 12 16
T·P
a/s/
k
-0.12
-0.1
-0.08
-0.06
-0.04
-0.02
0
dtime600dtime900dtime1800dtime3600
Vertically resolved profiles of temperature anomalies from its horizontal mean, binned by vertical velocity at 500 hPa (ω500) in equatorial region (5°S–5°N).
Cospectrum of daily T anomalies at 300 hPa and ω at 500 hPa from their horizontal field in equatorial region (5°S–5°N)
Take-home Points1. fscale impacts simulated climate monotonically. With a high fscale,• Both shortwave and longwave cloud forcings decrease. • Tropical precipitation tail amplifies.
2. fscale also impacts the organization of tropical convection. With a high fscale,• Convection becomes more bottom-heavy, and accordingly GMS decreases. • WTG conforms better due to dynamical adjustment to thermal anomalies.
3. fscale can be a useful tuning parameter for SP models and provide some insights for future SP model development.
Net updraft mass flux
Spectral power shifts to higher frequencies
➣ No single mode of equatorial wave variability dominates rain intensity change.
➣ Daily mean power is shifted to higher frequencies at all zonal wavelengths.
zonal wavenumber-10 0 10
frequ
ency
(cpd
)
0
0.1
0.2
0.3
0.4
0.5a) dtime600
zonal wavenumber-10 0 10
0
0.1
0.2
0.3
0.4
0.5b) dtime900
zonal wavenumber-10 0 10
0
0.1
0.2
0.3
0.4
0.5c) dtime1800 (ctrl)
zonal wavenumber-10 0 10
0
0.1
0.2
0.3
0.4
0.5d) dtime3600
-18.1
-17.9
-17.7
-17.5
-17.2
-17
-16.8
-16.6
-16.3
-16.1
e) dtime600/ctrl
zonal wavenumber-10 0 10
frequ
ency
(cpd
)
0
0.1
0.2
0.3
0.4
0.5f) dtime900/ctrl
zonal wavenumber-10 0 10
0
0.1
0.2
0.3
0.4
0.5g) dtime3600/ctrl
zonal wavenumber-10 0 10
0
0.1
0.2
0.3
0.4
0.5
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
5S-5N precipitation wavenumber-frequency spectrum (sym)
(a–d) Raw log power spectra and (e–g) the ratio of log power of experimental simulation to control simulation. Gray contour lines in a, b, and d are from control simulation
The profiles of the CRM updraft mass flux (solid lines) and their saturated moist components (dashed lines)
(a) Control simulation, (b–d) experimental simulation anomalies against control simulation, and (e) horizontally averaged GMS in two subregion A and B. Magenta line shows the contour of GMS of 0.1.
Normalized GMS
Tropical rainfall extremes increase
➣ Rain intensity tail amplifies as fscale increases.
➣ Rain intensity tail response is mostly from the tropics.
mm day -10.1 1 10 100
mm
day
-1
0
0.4
0.8
1.2
1.6
a) Precipitation amount (20S-20N)
dtime600dtime900dtime1800dtime3600GPCPTRMM
mm day -10.1 1 10 100
%
10 - 3
10 - 2
10 - 1
10 0
10 1
c) Precipitation frequency (20S-20N)
mm day -10.1 1 10 100
mm
day
-1
0
0.2
0.4
0.6
0.8
b) Precipitation amount (30N-90N)
dtime600dtime900dtime1800dtime3600GPCP
mm day -10.1 1 10 100
%
10 - 3
10 - 2
10 - 1
10 0
10 1
d) Precipitation frequency (30N-90N)
Daily precipitation distribution
(a, b) Amount and (c, d) frequency distributions of daily mean precipitation
-0.4-0.3-0.2-0.100.1
K
-0.4
0
0.4
0.8
1.2
1.6a) T300'
!500 (Pa/s)-0.4-0.3-0.2-0.100.1
0
0.05
0.1
0.15
b) Daily !500 relative frequency
dtime600dtime900dtime1800dtime3600
-0.4-0.3-0.2-0.100.1
K
-0.4
0
0.4
0.8
1.2
1.6a) T300'
!500 (Pa/s)-0.4-0.3-0.2-0.100.1
0
0.05
0.1
0.15
b) Daily !500 relative frequency
dtime600dtime900dtime1800dtime3600
-0.4-0.3-0.2-0.100.1
K
-0.4
0
0.4
0.8
1.2
1.6a) T300'
!500 (Pa/s)-0.4-0.3-0.2-0.100.1
0
0.05
0.1
0.15
b) Daily !500 relative frequency
dtime600dtime900dtime1800dtime3600
T300′ vs. ω500 ω500 frequency
T300′ − ω500 cospec
T′ vs. ω500
Just published!
For further details, refer to: Yu and Pritchard (2015), JAMES. (doi: 10.1002/2015MS000493)
Acknowledgement: We would like to thank Stefan Tulich, David Randall, and Robert Pincus for helpful comments. We would especially like to thank Brian Mapes for his original framing idea and Chris Bretherton for much insightful feedback. Funding for this study was provided by the Department of Energy under DE-SC0012152 and DE-SC0012548 and by the National Science Foundation (NSF) under AGS-1419518. Computational resources were provided by the Extreme Science and Engineering Discovery Environment, which is supported by NSF grant OCI- 1053575, under allocation TG-ATM120034.
[Top] (i) Control simulation and (ii–iv) experiment simulation anomalies against control simulation.[Left] Zonal mean annual mean cloud forcing in SPCAM3 (thin lines) and observation (thick lines).