investigating the equilibrium assumption between convection and the forcing
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Investigating the equilibrium assumption between convection and the forcing. Laura Davies University of Reading Supervisors: Bob Plant, Steve Derbyshire (Met Office). Definition of equilibrium. Dictionary definition:. - PowerPoint PPT PresentationTRANSCRIPT
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Investigating the equilibrium Investigating the equilibrium assumption between convection assumption between convection
and the forcingand the forcing
Investigating the equilibrium Investigating the equilibrium assumption between convection assumption between convection
and the forcingand the forcingLaura Davies
University of Reading
Supervisors:Bob Plant, Steve Derbyshire (Met Office)
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Definition of equilibrium
The condition of equal balance between opposing forces. (Oxford English Dictionary)
Dictionary definition:
Convective system In a convective system this is
a balance between:• Surface forcing,• Large-scale cooling and• Convection.
• Not considering large-scale subsidence and convergence.
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Defining equilibrium (1)A strict definition Balance between these forces. However,
• What about CIN?• What about the lifetime of a cloud?
Can we use a definition of equilibrium and quasi-equilibrium from literature.
So, how do we define equilibrium?
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Defining equilibrium (2)A working definition Consider an infinitely long forcing. The system develops a mean amount of convection
and achieves equilibrium.
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Defining equilibrium (3)A working definition Now, the system has a finite forcing. The total amount of convection is proportional to the
amount of forcing. Avoids issues of timing and cloud-scale fluctuations.
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Model setup
x
y
z
64 km
64 km
20 k
m
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Model setup
x
y
z
64 km
64 km1 km
1 km
20 k
m500m
25m
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Model setup
x
y
z
64 km
64 km1 km
1 km
20 k
m500m
25m
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Model setup
x
y
z
64 km
64 km1 km
1 km
Con
stan
t lo
ngw
ave
cool
ing
20 k
m500m
25m
0 K
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Model setup
x
y
z
64 km
64 km1 km
1 km
Con
stan
t lo
ngw
ave
cool
ing
20 k
m500m
25m
0 K
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Forcing method
Vary length of forcing cycle
Compare total amount of convection
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Time evolution
3 hr
24 hr
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Effect of forcing timescale
Mean amount of convection is almost independent of forcing timescale.Increased variability at short forcing timescales (< 10 hrs).
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Time evolution
3 hr
24 hr
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Cause of variability
The mean and variability of the initial profiles of θ and qv are comparable at different forcing timescales.
Differences in the mean profiles of θ and qv?
Differences in the spatial variability?
Are there different spatial scales of θ and qv present initially at different forcing timescales?
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Spatial scales of relative humidity
Power persists at scales 10-30 km.
Convective maximum
Convective minimum
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Conclusions A definition of equilibrium is proposed which is based
on the total amount of convection in the system.
Using this definition a convective is not in equilibrium when forced on timescales < 10 hrs.
It was found that the mean initial state could not explain this dis-equilibrium.
Spatial structures (10-30 km) in the relative humidity field were found to persist when the system was in dis-equilibrium.
These structures may be important in explaining the memory within a convective system.
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Control run
Time-varying portion of run
A long time Repeating 3hr cycles
Control run:Applying constant surface fluxes until equilibrium achieved
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Maximum boundary layer relative humidityat dawn
Stirling and Petch (2004)
Found onset of convection brought forward by moistureperturbations on scales greaterthan 10 km.
Sine moisture perturbationin lowest 500m
Cloud top height > 3 km & wmax> 5 m/s.
Rainfall increase by 20–70 % withconvectively generated variability
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Cloud distribution
Increasing height
Increasing height
Clouds defined as buoyant, moist and upward moving
Mean number of clouds
Damped θNon-damped
2.4 km
12.4 km
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Mean profiles3 hrs
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Mean profiles24 hrs