Gravity-wave parametrization in weather forecast and climate models
Submitting Institution
University of CambridgeUnit of Assessment
Mathematical SciencesSummary Impact Type
TechnologicalResearch Subject Area(s)
Mathematical Sciences: Pure Mathematics
Earth Sciences: Oceanography
Engineering: Maritime Engineering
Summary of the impact
The Warner-McIntyre parametrization scheme for non-topographic
atmospheric gravity waves,
developed at the Department of Applied Mathematics and Theoretical Physics
(DAMTP),
University of Cambridge, during the period from 1993 to 2004, has since
2010 been used by the
UK Met Office in their operational models for seasonal forecasting and
climate prediction .The
parametrization is regarded by the Met Office as a vital part of improved
representation of the
stratosphere in those models, which in turn has been shown to lead to
significant operational
benefits.
Underpinning research
Numerical models used for weather forecasting and climate prediction
cannot explicitly represent
several processes that have small spatial scale but which have systematic
effects on the larger
scale. Instead these processes must be represented by parametrization,
i.e. by extra terms
included in the model equations. One such process is momentum transport by
gravity waves, in
particular by waves that are not associated with topography. (Gravity
waves are small-scale waves
that result from internal density gradients in the atmosphere. An example
is the topographic gravity
waves generated by flow over mountains that are manifested in cloud
patterns. Non-topographic
gravity waves are generated by processes such as thunderstorms.) The
potential role of non-topographic
gravity waves in determining aspects of the large-scale atmospheric
circulation,
particularly in the stratosphere and mesosphere, and consequently the need
to represent such
waves in numerical models was recognised in the 1980s and 1990s. In 1993
researchers at the
University of Cambridge Department of Applied Mathematics and Theoretical
Physics (DAMTP),
C.D. Warner (DAMTP Research Associate from 1992, Senior Research Associate
from 2003) and
M.E. McIntyre (DAMTP Professor throughout the period), began work on the
formulation of a
parametrization scheme in which the propagation and dissipation of a field
of waves made up of a
broad spectrum of frequencies was calculated by following individual
spectral elements [Ref 1].
Compared to other schemes existing at that time, this scheme (the `full'
scheme) gave the
advantage of physical and mathematical clarity, but was too
computationally expensive to be
useable in numerical models of the large-scale atmosphere. In following
work [Refs 2 and 4] an
`ultra-simple' version of the scheme, that required only a small number of
variables to characterize
the gravity wave field as a function of height and time at each horizontal
location, was developed
and validated by Warner and McIntyre by testing against their full scheme.
Alongside this work
developing a robust and properly formulated gravity-wave scheme there was
a collaborative
programme of work with the UK Met Office to establish, as new versions of
the gravity-wave
scheme became available, the effect on the circulation as represented by a
global-scale model.
(The equations describing the parametrization were added to the large
computer code defining the
model.) The global model was a version, at that time used for research
purposes only, of the Met
Office Unified Model, `vertically extended' to include a detailed
representation of the stratosphere.
Results showing the effect of the gravity-wave scheme on the modelled
circulation were reported in
Refs 3, 5 and 6.
References to the research
1. *Warner, CD; McIntyre, ME, 1996: On the propagation and dissipation of
gravity wave
spectra through a realistic middle atmosphere. J. Atmos. Sci., 53,
3213-3235. DOI:
10.1175/1520-0469(1996)053<3213:OTPADO>2.0.CO;2
2. Warner, CD; McIntyre, ME, 1999: Toward an ultra-simple spectral
gravity wave
parameterization for general circulation models. (Proceeding of
International Symposium on
Dynamics and Structure of the Mesopause Region, Kyoto Univ., Kyoto, Japan,
March 16-21
1998. Earth, Planets and Space, 51, 7-8. 475-484.
3. Scaife, AA, Butchart, N, Warner, CD, Stainforth, D., Norton, WA,
Austin, J., 2000: Realistic
quasi-biennial oscillations in a simulation of the global climate.
Geophys. Res. Lett., 27,
3481-3484. DOI: 10.1029/2000GL011625.
4. *Warner, CD, McIntyre, ME, 2001: An ultrasimple spectral
parameterization for
nonorographic gravity waves. J. Atmos. Sci., 58, 1837-1857. DOI:
10.1175/1520-0469(2001)058<1837:AUSPFN>2.0.CO;2
5. *Scaife AA, Butchart, N, Warner, CD, Swinbank, RC, 2002: Impact of a
spectral gravity
wave parameterization on the stratosphere in the met office unified model.
J. Atmos. Sci.,
59, 1473-1489. DOI: 10.1175/1520-0469(2002)059<1473:IOASGW>2.0.CO;2
6. Warner, CD, Scaife, AA, Butchart, N, 2005: Filtering of parametrized
nonorographic gravity
waves in the Met Office Unified Model. J. Atmos. Sci., 62, 1831-1848. doi:
10.1175/JAS3450.1
* References which best reflect the quality of the underpinning research
Details of the impact
The effect of the Warner-McIntyre (hereafter WM) gravity wave scheme was
carefully considered
by the Met Office during the period in which the desirability of using
`vertically extended' models,
including a detailed representation of the stratosphere, for operational
purposes was established
and a robust, high-quality version of the extended model developed. Since
2006 the UK Met Office
has used such `vertically extended' models, including the WM gravity-wave
scheme, for operational
purposes, for numerical weather prediction (implemented in 2006), for
seasonal forecasting
(implemented in 2010, Fereday et al 2012) and for climate prediction
simulations used for the 5th
IPCC Assessment report (implemented in 2011, Hardiman et al 2012).
Improvement of Short-Term Weather Prediction and Seasonal Forecasting
On the short time scales of a few days accessible to conventional
numerical weather prediction
extending the model to include the stratosphere, including use of the WM
scheme, provides
significant advantages for data assimilation in the stratospheric levels
of the model. On longer
seasonal forecast time scales, e.g. months, the WM scheme gives skill in
prediction of the
evolution of the equatorial Quasi Biennial Oscillation (QBO) which has
significant implications for
the extratropical circulation, including the low-level circulation in the
North Atlantic/European
region. (Marshall and Scaife 2009).
The advantages of using the extended model for seasonal forecasting are
discussed in detail by
Fereday et al (2012) who show that the severe 2009/10 winter was better
predicted by an
extended version of the Met Office Glosea 4 seasonal forecast system which
included the WM
scheme than by the standard version that was in operational use in that
winter. Fereday et al
(2012) argue that the better representation of the QBO in the extended
model, for which the WM
scheme is absolutely essential, together with improved representation of
the stratospheric aspects
of the communication of a tropical El Nino signal to the extratropics were
important in giving the
improved prediction. For the 2010/11 and 2011/12 winters the Met Office
implemented the
vertically extended version of the seasonal forecast system and their
seasonal predictions for
these winters were correct insofar that the correct phase of the North
Atlantic Oscillation pattern
(which has a major controlling effect over UK and European weather) was
predicted.
Seasonal forecasts are passed by the Met Office to UK government
Departments such as the
Cabinet Office, the Department of Energy and Climate Change (DECC),
Department for Transport
(DfT) and DEFRA where they are used for resilience planning purposes.
Impact on Climate Modelling
The Met Office Hadley Centre currently uses the HadGEM2 family of models
for climate prediction
(Met Office news item 2010). The vertically extended version of this model
is one of the three
models being used by the Hadley Centre in their contribution to the 5th
Assessment Report of the
Intergovernmental Panel for Climate Change (IPCC). This contribution is
through the Coupled
Model Intercomparison Project (CMIP5) which is an internationally
coordinated activity to perform
climate model simulations to a common set of specifications across all the
world's major climate
modelling centres. (Hardiman et al 2012, Met Office news item November
2012).
By comparing simulations with standard and extended versions of the
climate model Hardiman et
al (2012) show that the inclusion of a well-resolved stratosphere does
improve the impact of
atmospheric teleconnections on surface climate, in particular the response
to El Nino-Southern
Oscillation, the quasi-biennial oscillation, and midwinter stratospheric
sudden warmings (i.e., zonal
mean wind reversals in the middle stratosphere). Thus, including a
well-represented stratosphere
is expected to improve climate simulation on intraseasonal to interannual
time scales.
Scaife et al (2012) show by considering several models, including the Met
Office model, that the
inclusion of a well-resolved stratosphere changes predictions for Northern
Hemisphere winter
regional climate change. In the models with a well-resolved stratosphere
there is a weakening and
equatorward shift of the stratospheric polar vortex and a corresponding
equatorward shift of the
typical path of tropospheric weather systems. There are corresponding
differences in the predicted
changes in low-level circulation, storminess and rainfall, with these
differences being particularly
large in western Europe. Scaife et al (2012) conclude, for example, that
the increase in frequency
under CO2 increase of 1 in 50 daily heavy winter rainfall events in
western Europe (10 W-20 E
and 40-55 N) is predicted, by the extended Met Office model to be twice as
great as predicted by
the standard model. Detailed representation of the stratosphere and the
associated implementation
of the WM scheme has, therefore, had a first order impact on European
climate projections.
Participation in the IPCC as described above is the primary way in which
the UK contributes to
formulation of international policy on climate change and the WM scheme is
an important
component of the model used for these projections. The Met Office is also
the primary source of
climate information to UK government to advise on national policy
formulation. For example, Met
Office climate predictions are provided to the UK Climate Projections
database.
The WM scheme is regarded by the Met Office as an essential component of
this extended model.
The Head of Monthly to Decadal Prediction at the Met Office Hadley Centre
states, "The Met Office
regards the Warner-McIntyre gravity-wave parametrization as an essential
part of the improved
representation of the stratosphere in weather and climate prediction
models which has given direct
benefits for seasonal forecasting and climate prediction."
Sources to corroborate the impact
Statement from the Head Monthly to Decadal Prediction at the Met Office
Hadley Centre
Fereday, DR, Maidens, A, Arribas, A, Scaife, AA, Knight, JR, 2012.
Seasonal forecasts of northern
hemisphere winter 2009/10. Environmental Research Letters, 7, 034031: DOI:
10.1088/1748-
9326/7/3/034031.
Hardiman, SC. Butchart, N, Hinton, TJ, Osprey, SM, Gray, LJ. 2012: The
effect of a well-resolved
stratosphere on surface climate: differences in CMIP5 simulations with
high and low top versions of
the Met Office climate model. J. Climate, 25, 7083-7099. DOI:
10.1175/JCLI-D-11-00579.1.
Scaife, AA, Spangehl, T, Fereday, DR, Cubasch, U, Langematz, U, Akiyoshi,
H, Bekki, S,
Braesicke, P, Butchart, N, Chipperfield, MP, Gettelman, A, Hardiman, SC,
Michou, M, Rozanov, E,
Shepherd, TG, 2011: Climate change projections and
stratosphere-troposphere interaction.
Climate Dynamics, 38, 2089-2097. DOI 10.1007/s00382-011-1080-7
Institute of Physics news item. http://www.iop.org/news/12/sep/page_57337.html
Marshall, AG, Scaife, AA, 2009: Impact of the QBO on surface winter
climate. J. Geophys. Res.,
114, D18110, doi:10.1029/2009JD011737.
Met Office news item 2010:
http://www.metoffice.gov.uk/research/modelling-systems/unified-model/climate-models/hadgem2
Met Office news item 14 September 2012:
http://www.metoffice.gov.uk/news/releases/archive/2012/improved-winter-guidance
Met Office news item, 29 November 2012: Met Office delivers new climate
simulations to
international modelling activity. http://www.metoffice.gov.uk/research/news/cmip5