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A novel turbulence closure for high-fidelity numerical weather prediction

Lead Research Organisation: UNIVERSITY OF EXETER
Department Name: Mathematics

Abstract

The representation of turbulent processes in numerical weather prediction (NWP) models is key for capturing extreme weather events such as convective storms, heavy rainfall and accompanying damaging winds. Convective scale phenomena are manifested locally but are born through the interactions between large and small-scale motions and therefore are challenging to predict. Conventional turbulence modelling requires a clear scale separation between turbulent and synoptic flow implying that all turbulence is parametrised. However, increasing the resolution of NWP models to the sub-kilometric scales makes the boundary layer and the cloud-scale flows partially resolved. Hence, the fundamental assumptions behind turbulence closures do not hold in this resolution regime which is termed the 'grey zone' of turbulence. This results in substantial implications for high-resolution NWP with limitations for the value of sub-kilometric models. The novel method proposed here has the potential to overcome these limitations, thereby realising the full value of sub-kilometre simulations and leading to higher fidelity operational weather forecasts.

The project aims to break the deadlock of grey-zone turbulence modelling by developing a dynamic length scale closure. The method will be implemented within the Met Office Unified Model (UM) and is expected to lead to significant improvements in the prediction of high-impact weather events. The novel closure will provide better parametrisation of subgrid turbulence which will result in a more faithful representation of resolved turbulence structures in very high resolution models. This will lead in turn to more accurate simulation of the evolution of the atmospheric boundary layer and its transitions, whilst also improving the representation of moist convective turbulence seamlessly across the scales, thereby better predicting the timing and development of convective clouds. As a starting point, the new method will provide a relaxation of the assumptions made within the current operational UM turbulence blending scheme, a necessary step in order to facilitate adaptation to the sub-km resolution regime. Going a step further and combining the dynamic approach with a higher order closure will result in a truly novel model able to reproduce the transitions of turbulent transport across the scales, from the fully resolved all the way to the fully parametrised turbulence regime.

The new method will be developed in steps of varying complexity starting from the dynamic blending of the current operational UM scheme and moving gradually to a higher-order dynamic, 3-dimensional turbulence scheme with self-adapting closure parameters. The new dynamic approaches will be evaluated against the conventional static schemes and validated with data from the WesCon field campaign as well as other readily-available observational datasets. WesCon has an emphasis on the understanding of updrafts and turbulence and their interaction with other processes, making this a unique testbed for the validation of the proposed approach. At the same time our work will focus on thoroughly understanding the length scales of unresolved turbulence, especially in deep storm clouds where current knowledge is limited. We will carefully assess the impact of gradually increasing the complexity of the new method examining the benefits for the increased fidelity of weather forecasts.

Publications

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Efstathiou G (2024) Grey-zone simulations of shallow-to-deep convection transition using dynamic subgrid-scale turbulence models in Quarterly Journal of the Royal Meteorological Society

 
Description Presentation at: NCAS Climate Modelling Summer School, 8-19 September, Cambridge. 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Postgraduate students
Results and Impact Invited ("guest") presentation to the summer school on Convection and Parameterization
Year(s) Of Engagement Activity 2025
 
Description Presentations at: Navigating the Turbulence Grey Zone in Numerical Weather Prediction: Modelling Challenges and Interdisciplinary Insights, University of Exeter, 23-25 June. 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact Multiple presentations were given by NERC funded researchers at this meeting, and discussion sessions were chaired by several of these researchers.

A talk was presented by Yuqi Bai on "Implementation of dynamic filtering with grey-zone turbulent closures in a Numerical Weather Prediction Model: Evaluation in idealised cases", a talk by Peter Clark on "3DTE: A non-downgradient turbulence parametrization for the turbulent grey-zone", a talk by Georgios Efstathiou on "Dynamic Turbulence Modelling in the 'Terra-Incognita' of turbulence," a talk by Bob Plant on "Dynamic diagnoses of turbulent mixing lengths in shallow convection", a talk by Dan Shipley on "Examining EDMF-type approaches in the grey zone using conditional filtering" and a talk by Dimitar Vlyakov on " SGS Anisotropy for Turbulent Grey Zone". In addition, a poster was presented by Bob Plant on "A dynamic extension of the pragmatic blending scheme for scale-dependent sub-grid mixing"
Year(s) Of Engagement Activity 2025
URL https://dvlaykov.github.io/turbulence-grey-zone-nwp/
 
Description Teaching at Summer School on Atmospheric Convection, 21-25 July, Nanjing University, China. 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Postgraduate students
Results and Impact Teaching a series of classes at the summer school, as one of four main invited lecturers.
Year(s) Of Engagement Activity 2025