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Bureau Research Report - 007
Effects of the changing heating profile associated with
melting layers
Hongyan Zhu and Rachel Stratton December 2015
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
i
Effects of the changing heating profile associated
with melting layers
Hongyan Zhu 1 and Rachel Stratton 2
1 Bureau of Meteorology 2 UK Met Office
Bureau Research Report No. 007
December 2015
National Library of Australia Cataloguing-in-Publication entry
Author: Hongyan Zhu and Rachel Stratton Title: Effects of the changing heating profile associated with melting layers ISBN: 978-0-642-70670-6 Series: Bureau Research Report - BRR007
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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Enquiries should be addressed to: Hongyan Zhu: Bureau of Meteorology GPO Box 1289, Melbourne Victoria 3001, Australia Contact Email: [email protected]
Copyright and Disclaimer
© 2015 Bureau of Meteorology. To the extent permitted by law, all rights are reserved and no part of
this publication covered by copyright may be reproduced or copied in any form or by any means
except with the written permission of the Bureau of Meteorology.
The Bureau of Meteorology advise that the information contained in this publication comprises
general statements based on scientific research. The reader is advised and needs to be aware that such
information may be incomplete or unable to be used in any specific situation. No reliance or actions
must therefore be made on that information without seeking prior expert professional, scientific and
technical advice. To the extent permitted by law and the Bureau of Meteorology (including each of its
employees and consultants) excludes all liability to any person for any consequences, including but
not limited to all losses, damages, costs, expenses and any other compensation, arising directly or
indirectly from using this publication (in part or in whole) and any information or material contained
in it.
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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Contents
1. Introduction .......................................................................................................... 1
2. Model Description ................................................................................................ 1
3. Results and discussion ....................................................................................... 2
4. Conclusion and Discussion: .............................................................................. 8
5. Reference: ............................................................................................................ 8
Acknowledgement: ....................................................................................................... 9
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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List of Figures
Fig. 1 Temperature anomaly relative to the heavy rainfall events. (60E-180E, 20S-20N). (a) Control experiment; and (b) Expt. 1. ............................................................................... 2
Fig. 2 Detrainment rate(/s) relative to the heavy rainfall events. (60E-180E, 20S-20N). (a) Control experiment; and (b) Expt. 1. ............................................................................... 3
Fig. 3 Difference between Expt.1 and control experiment for moisture anomaly relative to the heavy rainfall events. (60E-180E, 20S-20N). ............................................................... 4
Fig. 4 (a) Precipitation (mmd−1) as a function of surface temperature. (60E-180E, 20S-20N). (b) The ratio of surface temperature in the Control experiment. .................................... 4
Fig. 5 The model bias of precipitation rate of the control experiment comparing to the GPCP observation. For four years of 2006-2009. (a) The 4 years averaged model bias; (b) the averaged model bias for DJF seasons; and (c) the averaged model bias for JJA seasons. ......................................................................................................................... 5
Fig. 6 The upper panels are the model bias for DJF and JJA seasons and the lower panels are the difference between the Expt. 1 and the control experiment for DJF season ( left panels) and JJA (right panels). ....................................................................................... 6
Fig. 7 Lag correlation of equatorial intraseasonal OLR (a,c) and 850 hPa zonal wind (b,d) onto a reference zonal wind time series at 90E in ( The upper panels are for the control experiment (a and b) and Expt. 1 (c and d) ................................................................... 7
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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1. INTRODUCTION
Convective heating and moisture profile shows that the ACCESS model (Puri, 2010) has a large
cooling and drying spike at the freezing level (Zhu and Hendon, 2015) due to all the snow being
melted at the layer where the environmental temperature reaches the freezing level. For the high
vertical resolution model, it is likely that the freezing level is only represented by one model
level. Observation suggests that there is a mix of frozen and liquid precipitation over a layer of
several kilometres deep from the freezing level downwards (Illingworth and Thompson, 2011).
A simple way to alter the convection code is to allow a mix of liquid and frozen precipitation
from the freezing level to the freezing level plus 3 degrees. This change allows a mix of snow
and rain between the freezing level and 3K above this with the proportion of rain increasing
linearly from zero at the freezing level to one at the freezing level plus 3K.
2. MODEL DESCRIPTION
The UK Met Office Unified Model with GA2.0 model physics is used in this study (Zhu and
Hendon, 2015). The model horizontal resolution is 1.875°*1.25° and the integration time step
is 1200s.
The model uses a modified mass flux scheme based on Gregory and Rowntree (1990). The
convective diagnosis is based on an undiluted parcel ascent from the near surface. The
convective diagnosis is used to determine whether convection is possible from the boundary
layer and, if so, whether the convection is deep or shallow depending on the level of the cloud
top. The mid-level convection scheme operates on any instability found in a column above the
top of the deep/shallow convection or above the boundary layer in columns where the surface
layer is stable.
For deep convection, the cloud-base mass-flux is calculated based on the reduction to zero of
Convectively Available Potential Energy (CAPE) over a given timescale. The CAPE closure
has been modified in various ways to try to address model stability problems (grid point
storms). W based CAPE closure is the option used in most model configurations. In this
scheme, if the maximum large-scale vertical velocity, evaluated before convection, is larger
than the threshold vertical velocity, the CAPE timescale is reduced to remove the convective
instability faster. For deep convection, convective entrainment rates use prescribed profiles.
Many recent studies have found that increasing the convective entrainment rates will improve
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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MJO simulation in the model, therefore in this work the mixing entrainment rates in the
convection parameterization scheme are increased by 1.5. Mixing detrainment rates depend on
relative humidity and an adapted detrainment scheme is used to calculate the forced detrainment
rates. The representation of Convective momentum transports (CMT) is based on an eddy
viscosity model and a flux gradient approach has been introduced in the latest version of model.
The model uses the prognostic cloud fraction and prognostic condensate (PC2) scheme of
Wilson et al. 2008. For the boundary layer scheme, turbulent fluxes of heat, moisture and
horizontal momentum in the boundary layer are represented by a first-order K profile closure as
described by Lock et al. (2000). The model radiation scheme uses the modified version of
Edwards and Slingo (1996) scheme based on rigorous solution of the two-stream scattering
equations including partial cloud cover.
Model simulations use weekly observed SSTs and Sea Ice, and the simulations cover the
periods from 2006 to 2009.
3. RESULTS AND DISCUSSION
To show the temperature profile associated with the intense convection, in Fig.1, we plot the
lag and lead composites relative to the time of maximum rainfall anomaly. At each grid point,
we define a heavy rainfall event as an occurrence of rainfall anomaly that exceeds one standard
deviation, about 9.68 mm/day. Here we calculate the anomalies by removing the
climatologically seasonal cycle over the four years. In this fashion, we build up a one-
dimensional (height) lead-lag composite of the evolution of the intense rainfall events.
(a) (b)
Fig. 1 Temperature anomaly relative to the heavy rainfall events. (60E-180E, 20S-20N). (a) Control experiment; and (b) Expt. 1.
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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Figure 1 shows the temperature anomaly relative to the heavy rainfall events. At the time of
maximum precipitation, a warm center reaches 0.6 degree at the level of 10km due to
condensation heating in the upper troposphere. Meanwhile cooling anomalies occur in the
lower troposphere at day 0, which is a result of evaporation of convective downdraft. This
profile at day 0 is consistent with top-heavy diabatic heating as a result of stratiform
precipitation areas within deep convective systems. There is a cold spike at the level of 4.5km
with a minimum center of -0.6K. This cold spike is due to the reason that all the snow melts at
the freezing level leading to a strong cooling effect in a single level. By make the change
which allows a mix of snow and rain between the freezing level and 3K above this with the
proportion of rain increasing linearly from zero at the freezing level to one at the freezing level
plus 3K, the cooling center at the maximum rainfall rate has been reduced by 0.4K (Fig. 1b).
The cooling maximum now is in the lower troposphere instead of the middle troposphere.
Reducing cooling spike at the melting level has a direct impact on the detrainment rates. Figure
2 shows the detrainment rate relative to the intense rainfall events for the control experiment
and Expt.1. Reducing the cooling spike at the melting level has reduced the associated adaptive
detrainment by half near to the melting levels.
(a) (b)
Fig. 2 Detrainment rate(/s) relative to the heavy rainfall events. (60E-180E, 20S-20N). (a) Control experiment; and (b) Expt. 1.
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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With the change of the structure of massflux, in Expt.1, the convection is more efficient to
transfer moisture into troposphere. In Fig. 3, the difference of the moisture anomaly relative to
the intense rainfall events shows that there are more moisture being transferred into troposphere.
Fig. 3 Difference between Expt.1 and control experiment for moisture anomaly relative to the heavy rainfall events. (60E-180E, 20S-20N).
To further investigate the impacts of this change on the model simulation, firstly we studied the
relationship between precipitation and surface temperature.
(a) (b)
Fig. 4 (a) Precipitation (mmd−1) as a function of surface temperature. (60E-180E, 20S-20N). (b) The ratio of surface temperature in the Control experiment.
Figure 4 shows the relationship of daily precipitation and surface temperatures. In the control
experiment, the rainfall rates has a relatively constant value of 2mm/day between 295 K and
298K, then the rainfall rate starts to increase exponentially and reach a maximum value at
303K, followed by a rapidly decrease to 2mm/day at 304K. For Expt.1, the rainfall rate
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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increase is slower than the control experiment between 298K and 302K. The rainfall rate in
Expt. 1 is stronger than the control experiment when the surface temperature reaches 302K, and
the rainfall rate maximum is reached at higher surface temperature value, 303.25K, and also the
maximum value is about 2 mm/day stronger than the control experiment. The difference
between Expt. 1 and control experiment mainly occurs for the temperature range of 302K and
304K, with Expt. 1 having stronger rainfall rates. Figure 4b shows that the most rainfall events
are happening for the temperature range between 300K and 304K. So the difference shown in
Fig.2a has impacts on most rainfall events in the Tropics.
Fig. 5 The model bias of precipitation rate of the control experiment comparing to the GPCP observation. For four years of 2006-2009. (a) The 4 years averaged model bias; (b) the averaged model bias for DJF seasons; and (c) the averaged model bias for JJA seasons.
(a)
(b)
(c)
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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Figure 5 shows the rainfall bias of the control experiment comparing to the GPCP observation.
The four year avergared modle bias (Fig.5a) mainly has wet model bias in the west Indian
Ocean region and Western Pacific region in the southen hemisphere. In between the wet bias,
there is a dry bias in the region of the Maritime continent and the north part of Australia. For the
north hemisphere, there is dry bias in the Indian monsoon region and wet bais in the north west
Pacific. Figure 5b shows the 4 year model bias for the DJF season. Comparing to Fig. 5a, the
wet-dry-wet model bias in the Inidian Ocean, Maritime continent and South West Pacific region
is consistent with those for the 4 year averged model bias in those regions. Figure 5c is the 4
year model bias for JJA season, which shows that the model bias for the Indian monsoon region
and the North West Pacific in Fig.5a mainly comes from JJA season.
Fig. 6 The upper panels are the model bias for DJF and JJA seasons and the lower panels are the difference between the Expt. 1 and the control experiment for DJF season ( left panels) and JJA (right panels).
With the changes made with the melting level, the differences between Expt.1 and the control
experiment are shown in Fig.6, together with the corresponding model bias. For DJF season, the
difference between the two experiments has the opposite sign to the model bias for DJF season.
The wet tendency in the Maritime continent region and north Australia is beneficial for the MJO
simulation, which will be discussed in the Fig.7. There is not much improvement for the
summer model bias, and the wet bias in the north west Pacific region is getting worse in Expt. 1.
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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Fig. 7 Lag correlation of equatorial intraseasonal OLR (a,c) and 850 hPa zonal wind (b,d) onto a reference zonal wind time series at 90E in ( The upper panels are for the control experiment (a and b) and Expt. 1 (c and d)
With the improvement in the Indian Ocean and the South West Pacific region, the model MJO
simulation has been improved. To demonstrate the ability of the model to simulate eastward
propagating intraseasonal variability, in Fig. 7, we calculated the lead-lag correlation
coefficients between 20-100 days bandpass filtered data using the central Indian Ocean regional
time series and the associated near-equatorial data at all longitudes to produce a time-longitude
plot of correlation values for both OLR and 850 hPa zonal wind. For the control experiment, the
convection is mainly located in the Indian Ocean region, and fails to propagate eastwards
beyond the 120E. Also the 850 hPa zonal wind doesn’t show an organized eastwards
propagation. In Expt. 1, with the improvement of the convection simulation in the Maritime
continent region Model exhibits coherent eastward propagation across the Indian Ocean and the
West Pacific Ocean.
(a) Control (b) Control
(c) Expt. 1 (d) Expt. 1
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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With the modification of the snow melting in the convection code, the convection is stronger for
the higher surface temperature region in the Tropics. This change leads to the improved
precipitation forecast for the Indian Ocean region, Maritime continent and north Australia,
especially for the DJF seasons. As a result of this improved climatology, the model MJO
simulation is also improved.
4. CONCLUSION AND DISCUSSION:
Convective heating tendencies shows that the UM has a large cooling spike at the freezing level
due to all the snow being melted in the layer where the environmental temperature reaches the
freezing level. By allowing a mixture of snow and rain between the freezing level and 3K above
this, the convection becomes stronger for the higher surface temperature regions, especially in
the region of the Maritime Continent and north Australia. As a result, model bias for DJF season
in the tropical Indian Ocean and West Pacific region has been largely improved. The increased
convection in these regions helps the eastward propagation of organized convection and
improves the model climatology in the Tropics.
5. REFERENCE:
Illingworth, A. and Thomson, R. 2011: Radar bright band correction using the linear depolarisation ratio. Weather Radar and Hydrology, proceedings of a symposium held in Exter, UK, April 2011. (IAHS Publ. 3XX, 2011) Edwards, J.M. and Slingo, A. 1996: Studies with a flexible new radiation code. I: Choosing a configration for a large-scale model, Quart. J. Roy. Meteorol. Soc., 122, 689-719. Gregory, D. and Rowntree, P.R., 1990: A mass-flux convection scheme with representation of cloud ensemble characteristics and stability dependence closure. Mon. Weather Rev., 118:1483-1506. Puri, K. and co-authors (2010): Preliminary results from Numerical Weather Prediction implementation of ACCESS CAWCR Research Letters Issue 5,December 2010 Lock, A.P., Brown, A.R., Bush, M.R., Martin, G.M. and Smith, R.N.B. 2000: A new boundary layer mixing scheme. Part I: Scheme description and single column model tests. Mon. Weather Rev., 128, 3187-3199. Stratton. R., Willett, M., Derbyshire, S. and Wong, R. 2012: Convection Scheme,Unified Model Document paper, 27. Zhu, H. and Hendon, H. 2015: Role of large scale moisture advection for simulation of the MJO with increased entrainment. Quart. J. Roy Met. Soc. (Accepted manuscript online: 24 DEC 2014 04:30AM EST | DOI: 10.1002/qj.2510).
EFFECTS OF THE CHANGING HEATING PROFILE ASSOCIATED WITH MELTING LAYERS
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ACKNOWLEDGEMENT:
This research is supported by the Australian Government Department of the Environment, the
Bureau of Meteorology and· CSIRO through the Australian Climate Change Science
Programme