Next Generation Weather and Climate Prediction: Atmospheric Model Dynamical Core

Lead Research Organisation: Imperial College London
Department Name: Aeronautics

Abstract

The next generation of weather and climate models used by the UK Met Office (as well as the community of weather and climate researchers in the UK) will be run on supercomputers with an enormous number of processors operating in parallel. Running a weather model on such a supercomputer has the simple requirement that doubling the number of parallel processors will halve the time required to make a forecast: this is called 'parallel scaling'. It is a great challenge of scientific computing to get a computer model to scale well on massive supercomputers; unfortunately some algorithms used in models make the forecast very accurate, but do not scale well. The aim of the NGWCP project is to identify new algorithms that can scale well on supercomputers without sacrificing forecast skill (the ability of a model to correctly forecast the weather). In this proposal, we choose to concentrate on two aspects, the horizontal grid, and the transport algorithms. In the current Met Office model, a latitude-longitude grid is used in the horizontal. This type of grid has the problem that all the lines of latitude converge on the poles, so they get closer and closer together. It turns out that this is very bad for parallel scaling. In this proposal, we suggest three new types of grids that keep grid lines the same distance apart all over the globe, keeping various favourable properties of the latitude-longitude grid. Transport algorithms in the model are responsible for modelling the movement of quantities (such as temperature or moisture) with the wind. In the Met Office Model, this is done by tracing back the paths of fluid parcels around the globe. It turns out that this method is also bad for parallel scaling. In this proposal, we will investigate some recently developed alternatives that do not require these path calculations. It is essential that these algorithms reflect physical principles at work in the real atmosphere, such as the Law of Conservation of Mass.

Publications

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Cotter C (2013) A variational formulation of vertical slice models in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Cotter C (2012) Mixed finite elements for numerical weather prediction in Journal of Computational Physics

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Cotter C (2014) Variational formulations of sound-proof models Variational Sound-Proof Models in Quarterly Journal of the Royal Meteorological Society

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Cotter C (2016) Embedded discontinuous Galerkin transport schemes with localised limiters in Journal of Computational Physics

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Cotter CJ (2016) Mixed finite elements for global tide models. in Numerische mathematik

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McRae A (2016) Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements in SIAM Journal on Scientific Computing

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McRae A (2014) Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements in Quarterly Journal of the Royal Meteorological Society

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Melvin T (2013) A two-dimensional mixed finite-element pair on rectangles in Quarterly Journal of the Royal Meteorological Society

 
Description Developed an approach to numerical schemes for numerical weather prediction and climate modelling that preserves all the required properties of the existing UK Met Office, but is compatible with massively parallel computers.
Exploitation Route This project is in close partnership with the UK Met Office, the main output is the proposal of numerical schemes that will be used in Phase II of the dynamical core development process for the Unified Model.
Sectors Environment

 
Description The "GungHo" project to develop a new dynamical core for the UK Met Office weather and climate model is now developing the methods we invented in this project into a fully 3D dynamical core, which is targetting operational use in the early 2020s. The compatible finite element approach developed at Imperial has been selected as the basis for the new dynamical core and will reach operational use in 2025 subject to positive science assessments.
First Year Of Impact 2014
Sector Digital/Communication/Information Technologies (including Software),Environment
Impact Types Societal

 
Description A scalable dynamical core for Next Generation Weather and Climate Prediction - Phase 2
Amount £367,916 (GBP)
Organisation Research Councils UK (RCUK) 
Sector Public
Country United Kingdom
Start 03/2013 
End 02/2015
 
Description Standard Grant: Improving Prediction of Fronts
Amount £379,737 (GBP)
Funding ID NE/K012533/1 
Organisation Natural Environment Research Council 
Sector Public
Country United Kingdom
Start 01/2014 
End 01/2017
 
Description Standard Grant: Moving meshes for global atmospheric modelling
Amount £128,254 (GBP)
Funding ID NE/M013634/1 
Organisation Natural Environment Research Council 
Sector Public
Country United Kingdom
Start 09/2015 
End 08/2018
 
Description Ongoing colloboration with UK Met Office staff 
Organisation Meteorological Office UK
Country United Kingdom 
Sector Academic/University 
PI Contribution We have developed several collaborative interactions with UK Met Office staff
Start Year 2011
 
Title Gusto 
Description A Python library for compatible finite element dynamical cores 
Type Of Technology Software 
Year Produced 2016 
Open Source License? Yes  
Impact This software is providing a testbed for the development of the Gung Ho dynamical core for the Met Office forecast model. 
URL http://firedrakeproject.org/gusto/
 
Title Slicemodels 
Description This is a code for benchmarking our suite of compatible finite element methods for numerical weather prediction in a vertical slice configuration. 
Type Of Technology Software 
Year Produced 2015 
Open Source License? Yes  
Impact This tool is being used to benchmark numerical schemes for the NERC/Met Office/STFC UK Dynamical Core project ("Gung Ho"). 
URL https://bitbucket.org/colinjcotter/slicemodels
 
Title dcore 
Description Software implementing a numerical model for a 3D dynamical core on the sphere using compatible finite element methods. 
Type Of Technology Software 
Year Produced 2016 
Open Source License? Yes  
Impact This software is being used to benchmark numerical algorithms being developed for the UK Met Office forecast model. 
URL https://github.com/firedrakeproject/dcore
 
Description ICMS Public talk 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact As part of the International Centre for Mathematical Sciences workshop we organised in Edinburgh, we hosted a public talk on climate uncertainty given by David Stainforth. The idea was to engage the public with the importance of mathematics in climate research, particularly in the combination of climate/weather models and statistics in order to understand and quantify uncertainty.

We received excellent feedback about the talk through the ICMS.
Year(s) Of Engagement Activity 2015
 
Description Maths Foresees workshop 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? Yes
Geographic Reach National
Primary Audience Professional Practitioners
Results and Impact Workshop resulted in collaborative projects between academics and stakeholders, funded through the Maths Foresees network, and forged new potential collaborations for future project calls.

Amongst the various activities, I started a new engagement with HR Wallingford on a flooding project.
Year(s) Of Engagement Activity 2015
URL http://www1.maths.leeds.ac.uk/mathsforesees/workshopleeds2015.html
 
Description Princes Teaching Trust 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? Yes
Geographic Reach Regional
Primary Audience Professional Practitioners
Results and Impact I had fruitful discussions with teachers at the event who got ideas of how to engage students with numerical analysis topics by discussing our work.

I received very complementary written feedback from teachers via the Prince's Teaching Trust after the event, who said that they would use examples from my talk in their teaching to inspire KS4/5 students.
Year(s) Of Engagement Activity 2015