<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The semi-Lagrangian numerical method, in conjunction with semi-implicit time integration, provides numerical weather prediction models with numerical stability for large time steps, accurate modes of interest, and good representation of hydrostatic and geostrophic balance. Drawing on the legacy of dynamical cores at the Met Office, the use of the semi-implicit semi-Lagrangian method in an operational numerical weather prediction context is surveyed, together with details of the solution approach and associated issues and challenges. The numerical properties and performance of the current operational version of the Met Office’s numerical model are then investigated in a simplified setting along with the impact of different modelling choices.</p></abstract>

The semi-Lagrangian numerical method, in conjunction with semi-implicit time integration, provides numerical weather prediction models with numerical stability for large time steps, accurate modes of interest, and good representation of hydrostatic and geostrophic balance. Drawing on the legacy of dynamical cores at the Met Office, the use of the semi-implicit semi-Lagrangian method in an operational numerical weather prediction context is surveyed, together with details of the solution approach and associated issues and challenges. The numerical properties and performance of the current operational version of the Met Office’s numerical model are then investigated in a simplified setting along with the impact of different modelling choices.

Semi-implicit semi-Lagrangian modelling of the atmosphere: a Met Office perspective

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The semi-Lagrangian numerical method, in conjunction with semi-implicit time integration, provides numerical weather prediction models with numerical stability...

Semi-implicit semi-Lagrangian modelling of the atmosphere: a Met Office perspective

Published Online: Oct 01, 2016

Page range: 4 - 25

Received: Jun 15, 2015

Accepted: Aug 02, 2015

DOI: https://doi.org/10.1515/caim-2016-0020

Keywords
Semi-Lagrangian method, semi-implicit method, dynamical core, normal mode analysis

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Semi-implicit semi-Lagrangian modelling of the atmosphere: a Met Office perspective

Published Online: Oct 01, 2016

Page range: 4 - 25

Received: Jun 15, 2015

Accepted: Aug 02, 2015

DOI: https://doi.org/10.1515/caim-2016-0020

KeywordsSemi-Lagrangian method, semi-implicit method, dynamical core, normal mode analysis

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Semi-Lagrangian method, semi-implicit method, dynamical core, normal mode analysis