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Multiscale Numerics for the Atmosphere and Ocean

22nd August 2012 to 21st December 2012

Organisers: David Ham (Imperial College London), Matthew Piggott (Imperial College London), Todd Ringler (Los Alamos), Hilary Weller (Reading) and Nigel Wood (Met Office)

Programme Theme

Numerical models of the atmosphere and ocean have proved to be immensely valuable forecasting tools for short time-scale weather and longer time-scale seasonal and climate prediction. As the decades pass, these models have been improving due to increased computing power, improved modelling of the dynamics, improved parametrisation of sub-grid scale processes and improved use of observations. These modelling improvements may be slowing and further large increases in computing power will almost certainly emerge from heterogenous computing architectures configued in even more massively parallel machines. If we are unable to exploit these new opportunities in high-performance computing, our current models and codes risk becoming obsolete.

This programme will bring together leading developers of ocean and atmosphere models with numericists and computer scientists to explore radical new formulations which will address the limitations of current models and enable the most effective use of the computing platforms of the future.

Particular themes will include:

Adaptive simulation techniques

Adaptive meshes
Criteria for refinement
Mesh movement vs mesh refinement vs locally increasing polynomial order
Data assimilation and inverse problems on adaptive meshes

Numerical techniques

Closures accurate over a wide range of resolutions
Discretisations suited to the atmosphere and ocean
Solution of equation sets appropriate for the local mesh resolution
Preservation of balance, conservation, monotonicity, accuracy and high curvature under adaptation
Spurious wave reflection and refraction from mesh inhomogeneity

Computing techniques

Algorithims with sufficient computational efficiency and parallelism
Mapping numerical schemes to emerging massively parallel computer architectures

Final Scientific Report: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons